Effective Elastic Moduli Research Articles

Cutting-edge insights: Crack growth rates in 9% Ni steel from room to cryogenic conditions influenced by crack closure and effective stress intensity factors

This study investigates the fatigue crack growth rate of 9% Ni steel at varying stress ratios under both room and cryogenic temperatures, attributing different growth rates to the phenomenon of crack closure. Traditional methods of studying crack closure, including the opening force, compliance ratio, and adjusted compliance ratio techniques, are assessed. Our results are juxtaposed with previous formulae for the opening force technique, leading to the introduction of a new formula that incorporates temperature effects by normalising the stress intensity factor with the yield strength at the respective test temperature. We highlight the adjusted compliance ratio (ACR) technique's limitations at cryogenic temperatures due to challenges in measuring notch open-crack compliance. As a solution, we present an innovative method that determines compliance using the effective elastic modulus. The mechanics behind the ACR technique are elucidated through the lens of the wedging mechanism. Our insights reveal that the ACR technique precisely calculates the effective stress intensity factor range (ΔKeff) under specific conditions. We address existing limitations by introducing a novel method, the triple compliance ratio (TCR) technique. A comparative analysis of effective stress intensity factors from all four techniques reveals the TCR technique's superior ability to correlate crack closure with crack growth. By eliminating the crack closure effect, the TCR technique offers a more accurate prediction of fatigue crack growth rate across diverse load ratios.

Joint micromechanical model for determination of effective elastic and electromagnetic properties of porous materials

In this paper we propose an approach for calculating the effective physical properties of porous materials (for example, sedimentary rocks) which is based on the unified structure of the pore space. This approach is based on the Generalized Differential Effective Medium (GDEM) method. This method generalizes the classical differential scheme (DEM) for the case of many types of inclusions. The physical properties of a composite calculated using the GDEM depend on how the solution is constructed.A porous medium is represented by the elastic weakly conductive matrix with embedded inclusions of two types (spheroidal and cylindrical), saturated with a conductive liquid. The cylindrical inclusions appear in the system when the porosity value exceeds the void percolation. Parameters, that characterize the inclusions (the aspect ratio of spheroidal inclusions and the relative part of cylindrical inclusions), are determined in the inverse problem solving process for the experimental data approximation of the effective conductivity as a porosity function. These parameters, obtained by solving the inverse problem, were used to calculate the effective elastic moduli, electrical conductivity, and dielectric permittivity of porous media. The results obtained describe well the available experimental data for different effective physical properties.

On the Use of Foam Rubber for Sealing Applications

O-rings made from foam rubber are often used in sealing applications. Foam rubber have low (macroscopic) elastic modulus E0\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$E_0$$\\end{document} resulting in a low nominal contact pressure when squeezed against a countersurface. In most cases the foam rubber is covered by a thin surface film with the effective elastic modulus E1>E0\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$E_1 > E_0$$\\end{document}. We show that the nominal contact pressure may not be high enough for the contact area to percolate and the O-ring seal will leak. For the leakage calculations we use the Persson multiscale contact mechanics theory, and the (modified) Bruggeman effective medium theory for the fluid flow conductivity. The experimental input for the theory are surface roughness power spectrum, which was obtained from stylus topography measurements, and the elastic properties (E0\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$E_0$$\\end{document} and E1\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$E_1$$\\end{document}) of the rubber O-ring. As an application of this calculation method, we have used the preliminary as well as the final results of the laboratory gas tightness tests of the 136 New Small Wheel Micromegas Quadruplets performed at CERN, from February 2019 to May 2021, in the framework of the ATLAS Experiment upgrade. In the integration quality control, a novel method for gas tightness measurement, that we have called “Flow Rate Loss”, has been used as a baseline method.Graphical

Thickness-stretched model for thermal vibrational behaviors of graphene origami reinforced doubly curved

Higher-order vibrational behavior of a shear deformable doubly curbed shell is studied in this article based on a thickness-stretched model. The shell is assumed composed of Copper matrix enriched with graphene origami in which the effective modulus of elasticity, Poisson’s ratio, density and heat expansion coefficients are estimated through micromechanical model including four modification coefficients. The thickness-stretched model assumes the transverse deflection as summation of three parts named as bending, shear, and stretching ones where the third part simulates thickness-dependent of transverse deflection. The Hamilton’s principle is extended for derivation of the governing equations of motion and the numerical results are obtained through the analytical method. A verification study is presented for approving the formulation, solution methodology, and numerical results. The natural frequencies are presented in terms of thermal loading, graphene amount, folding degree, geometric parameters of the shell, and graphene origami. The mentioned results are presented with and without thickness stretching effect. A comment on the difference between them is added to the results. The results show this fact that the results based on without thickness stretching is more than ones based on with thickness stretching. The full numerical results are presented to investigate effect of material and geometric characteristics on the thermal vibration results of the reinforced doubly curved shell.

Evaluation of modulus of elasticity of concrete containing both natural and recycled concrete aggregates

There is growing requirement to use recycled aggregate in concrete to demote industrial wastes produced by construction sectors. Thus, to develop simple but meaningful formulations to assess the mechanical properties of concrete, when it is mixed with both natural and recycled aggregates, becomes essential. In the present study an analytical approach to calculate the elastic modulus of concrete containing both natural and recycled concrete aggregates is proposed. The approach is developed on the concept of effective medium approximation but considering the effect of Poisson's ratio. Two analytical formulas are derived. One is for the two-phase concrete (mortar and aggregate) that is mixed with 100% natural aggregate or 100% recycled concrete aggregate. The other is for the three-phase concrete (mortar, natural aggregate, and recycled concrete aggregate) that is mixed with both natural and recycled aggregates. The analytical formulations are validated using the results obtained from both the numerical simulations and experimental tests. The present analytical model not only provides the simple and meaningful formulations to calculate the effective elastic modulus but also can be used to directly examine the influence of mortar, natural aggregate, recycled concrete aggregate and its replacement ratio to natural aggregate on the elastic modulus of the mixed concrete.

Optimizing 3D printed ankle-foot orthoses for patients with stroke: Importance of effective elastic modulus and finite element simulation

Patients with stroke often use ankle-foot orthoses (AFOs) for gait improvement. 3D printing technology has become a popular tool in recent years for the production of AFOs due to its strengths on customization and rapid manufacturing. However, the porosity of the 3D printed materials affects the kinetic features of these orthoses, leading to its lower-strength than solid ones. The effective elastic modulus of 3D printed material was measured following standard test method to obtain the kinetic features precisely in a finite element simulation. This study demonstrated that the porosity of 3D printed samples using 100% fill density was 11% for PLA and 16% for Nylon. As a result, their effective elastic modulus was reduced to 1/3 and 1/12 of fully solid objects, respectively, leading to a lower stiffness of 3D printed orthoses. A fatigue testing platform was built to verify our finite element model, and the findings of the fatigue test were consistent with the analysis of the finite element model. Further, our AFO has been proven to have a lifespan exceeding 200 thousand steps. Our study highlights the significance of determining the actual porosity of 3D printed samples by calculating the effective elastic modulus, which leads to a more precise finite element simulation and enables reliable prediction of the kinetic features of the AFO. Overall, this study provides valuable insights into the production and optimization of 3D printed AFOs for patients with stroke.

Stiffness Modulation in Flexible Rotational Triboelectric Nanogenerators for Dual Enhancement of Power and Reliability.

Rotational nanogenerators with flexible triboelectric layers have wide applications and high reliability. However, flexible materials cause a severe reduction in contact force and thus triboelectric output power. Unlike previous works devising complex auxiliary structures to solve this issue, this paper focuses on improving the contact material mechanics and proposes a stiffness modulation method. By introducing fine patterns to the contacting rotor-stator pairs, the effective elastic modulus was regulated from approximately 103 to 105 MPa, and the output voltage was modulated from approximately 24.39% to 375.87% compared to the non-patterned rotor-stator pairs, corresponding to a maximal a 14 times increase in output power. A maximal power density of 18.75 W/m2 was achieved on 10 MΩ resistance at 9.6 Hz, which is even beyond the power density of most rigid triboelectric interfaces. Moreover, high reliability could be maintained when the volume ratio of the horizontal patterns exceeded a threshold value of 33.5% as the stator and 63.6% as the rotor for a 0.5 mm linewidth. These results prove the efficacy of the stiffness modulation method for jointly achieving high output power and high reliability in flexible rotational triboelectric nanogenerators.

Free vibration analysis of graphene origami-reinforced nano cylindrical shell

Vibrational behavior of a shear deformable cylindrical shell is studied in this article based on Hamilton’s principle. The shell is manufactured by a Copper (Cu) core reinforced with graphene origami auxetic metamaterial and subjected to mechanical and thermal loads. The constitutive relations are developed based on the shear deformable model where the effective modulus of elasticity, Poisson’s ratio, and density are evaluated using micromechanical models including volume fraction and folding degree of graphene origami auxetic metamaterial, geometric characteristics of graphene, material properties of matrix, and reinforcement and local temperature. The natural frequencies are obtained based on Navier’s and Galerkin’s approaches for simply supported, clamped-simply, and clamped-clamped boundary conditions. The formulation, solution procedure, and numerical results are confirmed through comparison with the available results of the literature. The complete numerical results are presented in terms of volume fraction and folding degree of graphene origami auxetic metamaterial, thermal loading, and various types of boundary conditions.

Bone cell response to additively manufactured 3D micro-architectures with controlled Poisson's ratio: Auxetic vs. non-auxetic meta-biomaterials

The Poisson's ratio and elastic modulus are two parameters determining the elastic behavior of biomaterials. While the effects of elastic modulus on the cell response is widely studied, very little is known regarding the effects of the Poisson's ratio. The micro-architecture of meta-biomaterials determines not only the Poisson's ratio but also several other parameters that also influence cell response, such as porosity, pore size, and effective elastic modulus. It is, therefore, very challenging to isolate the effects of the Poisson's ratio from those of other micro-architectural parameters. Here, we computationally design meta-biomaterials with controlled Poisson's ratios, ranging between -0.74 and +0.74, while maintaining consistent porosity, pore size, and effective elastic modulus. The 3D meta-biomaterials were additively manufactured at the micro-scale using two-photon polymerization (2PP), and were mechanically evaluated at the meso‑scale. The response of murine preosteoblasts to these meta-biomaterials was then studied using in vitro cell culture models. Meta-biomaterials with positive Poisson's ratios resulted in higher metabolic activity than those with negative values. The cells could attach and infiltrate all meta-biomaterials from the bottom to the top, fully covering the scaffolds after 17 days of culture. Interestingly, the meta-biomaterials exhibited different cell-induced deformations (e.g., shrinkage or local bending) as observed via scanning electron microscopy. The outcomes of osteogenic differentiation (i.e., Runx2 immunofluorescent staining) and matrix mineralization (i.e., Alizarin red staining) assays indicated the significant potential impact of these meta-biomaterials in the field of bone tissue engineering, paving the way for the development of advanced bone meta-implants. Statement of significanceWe studied the influence of Poisson's ratio on bone cell response in meta-biomaterials. While elastic modulus effects are well-studied, the impact of Poisson's ratio, especially negative values found in architected biomaterials, remains largely unexplored. The complexity arises from intertwined micro-architectural parameters, such as porosity and elastic modulus, making it challenging to isolate the Poisson's ratio. To overcome this limitation, this study employed rational computational design to create meta-biomaterials with controlled Poisson's ratios, alongside consistent effective elastic modulus, porosity, and pore size. The study reveals that two-photon polymerized 3D meta-biomaterials with positive Poisson's ratios displayed higher metabolic activity, while all the developed meta-biomaterials supported osteogenic differentiation of preosteoblasts as well as matrix mineralization. The outcomes pave the way for the development of advanced 3D bone tissue models and meta-implants.

Berkovich indentation and the Oliver-Pharr method for shape memory alloys

Advances in instrumentation and interpretation of nanoindentation data with the Oliver-Pharr (O-P) method have fueled the reliable assessment of hardness and elastic modulus. However, shape memory alloys (SMAs) undergo a reversible phase transformation that complicates and challenges the conventional practice. This paper examines through finite element simulations the variation in nanoindentation response with SMA constitutive properties and the deformation regimes underneath a Berkovich indenter. Unique features of phase transformations – including tension-compression asymmetry, limited magnitude of transformation strain compared to plastic strain, and pressure-dependent transformation stress – inject fundamentally different patterns of elastic and inelastic deformation, compared to conventional elastic-plastic indentation. This can generate errors of up to 16% and 40% in hardness and modulus, respectively, when a conventional O-P approach for elastic-plastic materials is used. These errors are decreased if (1) contact stiffness is measured over a reduced (2% or less) portion of the initial unloading response and (2) new material-dependent expressions are used for geometric and correction factors in the O-P nanoindentation analysis. Approximate analytic expressions are obtained for the effective elastic modulus and martensite volume fraction in the inhomogeneous medium created by indentation. This new method is applied to Ni50.5Ti49.5 (at%) wire and for other SMAs, general guidance for selection of geometric and correction factors is provided.

The variational principle for probabilistic measure and Hashin–Shtrikman bounds

The paper is a review of Hashin–Shtrikman type bounds for effective moduli of conductivity and elasticity of polycrystals and composites written from the perspective of the variational principle for probabilistic measure. The results for such bounds are rederived in probabilistic terms. Remarkably, in probabilistic terms the Hashin–Shtrikman approach gets especially simple form. Besides, a clear distinction arises between the basic assumption, the choice of the trial field, and the simplifying assumptions, like geometrical isotropy, physical isotropy, texture isotropy, etc. We filled out several gaps. First, we derive an integral equation to be solved to get the bounds when the simplifying assumptions do not hold. Second, we extend the bounds for polycrystals with the cubic symmetry of crystallites to all thermodynamically possible crystallites; previously such bounds were found for crystallites with special elastic properties. One practical outcome considered is the derivation of approximate formulae for the temperature dependence of effective elastic moduli. Third, for crystallites with non-cubic symmetries, we formulated algebraic variational problems to be solved numerically to obtain the bounds, and solved these problems for several materials.

Surface modification of polydimethylsiloxane by the cataractous eye protein isolate

Polydimethylsiloxane (PDMS), even though widely used in microfluidic applications, its hydrophobic nature restricts its utility in some cases. To address this, PDMS may be used in conjunction with a hydrophilic material. Herein, the PDMS surface is modified by plasma treatment followed by cross-linking with the cataractous eye protein isolate (CEPI). CEPI-PDMS composites are prepared at three pH and the effects of CEPI on the chemical, physical, and electrical properties of PDMS are extensively investigated. The cross-linking between PDMS and the protein are confirmed by FTIR, and the contact angle measurements indicate the improved hydrophilic nature of the composite films as compared to PDMS. Atomic Force Microscopy results demonstrate that the surface roughness is enhanced by the incorporation of the protein and is a function of the pH. The effective elastic modulus of the composites is improved by the incorporation of protein into the PDMS matrix. Measurements of the dielectric properties of these composites indicate that they behave as capacitors at lower frequency range while demonstrating resistive characteristics at higher frequency. These composites provide preliminary ideas in developing flexible devices for potential applications in diverse areas such as energy storage materials, and thermo-elective wireless switching devices.

Anisotropic thermal expansion based on a novel metamaterial

Metamaterials exhibiting exceptional thermoelastic properties are emerging as promising candidates for scientific and engineering applications. Previous studies on mechanical metamaterials with negative thermal expansion (NTE) have primarily focused on enhancing isotropic NTE, often resulting in a high coefficient of thermal expansion (CTE) but low stiffness that characterizes bending-dominated NTE metamaterials. In this study, we proposed a novel mechanical metamaterial with significant anisotropic thermal expansion behavior and substantial stiffness based on the cross structure, re-entrant structure, and triangular structure with NTE. The programmable CTE and effective elastic modulus were analytically derived using the unit load method and stiffness matrix method, respectively, which were validated by numerical results obtained from finite element analysis (FEA). Drawing inspiration from the body-centered cubic and face-centered cubic strategies, two types of extended three-dimensional metamaterials can be obtained. The results demonstrate that a larger length ratio λ and angle θ3 can enhance the NTE effect, while reducing the Young's modulus. The maximum magnitudes of NTE and positive thermal expansion (PTE) are achieved at approximately θ2 = 90°, resulting in a decreased stiffness and slight negative Poisson's ratio (NPR). By adjusting the angles θ2 of re-entrant structures, six distinct anisotropic thermal expansion behaviors can be obtained in this planar metamaterial. Furthermore, a wider range of isotropic CTE as well as an extended range of anisotropic CTE can be achieved in the present metamaterial compared to its original metamaterials. The proposed metamaterial can be combined with traditional triangle metamaterials to enhance thermoelastic properties. The analysis also provides valuable insights into designing metamaterials with large CTE, optimal stiffness, and lightweight properties simultaneously for engineering applications.

Estimation of longitudinal elasticity modulus of anisotropic FDM-structure in CAE analysis systems and using full-scale experimen

The first approximation substantiate is given for the application of the theory of effective material to determine the effective elastic modulus of the FDM structure using the combined use of numerical analysis in a CAE environment and a full-scale testing. A specialized module for evaluating the effective properties of inhomogeneous materials of the russian Fidesys software system allowed us to obtain the values of effective elastic modulus for the FDM structure filling the volume under study. Full-scale tests of specimens, the printing pattern of which corresponds to a digital model in the automated environment of the Fidesys system, confirmed the results obtained.

Quantifying both viscoelasticity and surface tension: why sharp tips overestimate cell stiffness

Quantifying the mechanical properties of cells is important to better understand how mechanics constrain cellular processes. Furthermore, because pathologies are usually paralleled by altered cell mechanical properties, mechanical parameters can be used as a novel way to characterize the pathological state of cells. Key features used in models are cell tension, cell viscoelasticity (representing the average of the cell bulk), or a combination of both. It is unclear which of these features is the most relevant or if both should be included. To clarify this, we performed microindentation experiments on cells with microindenters of various tip radii, including micron-sized microneedles. We obtained different cell-indenter contact radii and measured the corresponding contact stiffness. We derived a model predicting that this contact stiffness should be an affine function of the contact radius and that at vanishing contact radius, the cell stiffness should be equal to the cell tension multiplied by a constant. When microindenting leukocytes and both adherent and trypsinized adherent cells, the contact stiffness was indeed an affine function of the contact radius. For leukocytes, the deduced surface tension was consistent with that measured using micropipette aspiration. For detached endothelial cells, agreement between microindentation and micropipette aspiration was better when considering these as only viscoelastic when analyzing micropipette aspiration experiments. This work suggests that indenting cells with sharp tips while neglecting the presence of surface tension leads to an effective elastic modulus whose origin is in fact surface tension. Accordingly, using sharp tips when microindenting a cell is a good way to directly measure its surface tension without the need to let the viscoelastic modulus relax.

The Effect of Pore Length on The Mechanical Properties of Vascular Scaffold Due to Systolic Pressure

Tissue replacements are highly limited due to the lack of vascularized tissue in the engineered tissue. Thus, incorporating the vascular scaffold in any injured tissue or organ is critical in the tissue regeneration. As one of elastic tissue in human body, mechanical properties are vital in engineering a vascular scaffold. Besides, interconnected pores and scaffold porosity are among the main considerations in designing the scaffold for allowing the vascularization. Therefore, this study aims to simulate the mechanical properties of three-dimensional (3D) printed vascular scaffold by observing the deformation and elasticity after being applied with the maximum systolic pressure. Scaffolds with three different pore lengths were simulated for compression and tensile analysis by using Finite Element Analysis (FEA) based on polyethylene terephthalate (PET) material’s properties. The findings indicated that effective elastic modulus of the vascular scaffolds varied based on the pore length with shortest pore length gave the highest elasticity, whilst scaffold with the longest pore length gave lowest elasticity. Besides, stress value of compression and tensile analysis for all scaffolds were did not exceed the PET’s yield strength that indicated the designed scaffolds will have high potential for vascular tissue engineering applications.

Characterization of Behavior of Lithium Ion Battery Under Vibration and Shock Conditions

Electric vehicles are being developed to address environmental issues such as air pollution caused by vehicles that use fossil fuels. As a result, the efficiency and performance of the battery, which is a crucial component of an electric vehicle, have become increasingly important. Research on the electrical behavior and heat of the battery is currently being actively conducted. However, with the improvement of battery efficiency and the increase in mass production, safety issues have arisen.Numerous studies are being conducted on battery safety, such as thermal runaway resulting from the deformation and failure of battery components, including the cathode and anode, caused by loads acting on the battery. Recently, research on stress factors caused by random vibrations and shocks that reflect actual vehicle operating conditions has made significant progress. For instance, Brand et al. conducted random vibration and shock tests based on the UN 38.3 standard test, evaluating durability based on the increase in resistance that occurs during the test1). Similarly, Berg et al. tested cylindrical cells with random profiles, according to the SAE J2380 standard and an even more severe profile2). After the test, they mainly observed the deformation of the tab, rather than the jellyroll of the battery. Yun et al. created a numerical model with the Representative Volume Element (RVE) model at the module level, obtaining the effective elastic modulus from the RVE model of the cell level and applied it to the module, so that the behavior of the jellyroll was not described at the cell level3). However, previous studies have mainly analyzed battery degradation caused by vibration and shock tests based on electrical characteristics. Hence, further research on damage and numerical models of battery cell levels that cause degradation according to random vibration and shock tests is required.In this study, anode, cathode, and separator of a pouch cell were prepared in form of a rectangular specimen with notch to conduct vibration and shock tests using the UN 38.3 standard test. The three battery cell components were stacked on a vibration jig, as in a real pouch cell. Scanning electron microscope (SEM) was used to investigate whether a fracture like crack occurred due to a vibration test near the notch of the specimen with a. Additionally, a numerical model for the pouch cell was constructed using a representative sandwich (RS) model4), and the predicted fracture behavior of the battery components according to the vibration and shock test was analyzed. The RS model provided a simplified representation of the internal structure of a battery cell, and the mechanical parameters required to build the RS model were obtained through tensile tests of battery cell components. Brand, Martin J., et al. "Effects of vibrations and shocks on lithium-ion cells." Journal of Power Sources 288 (2015): 62-69.Berg, Philipp, et al. "Durability of lithium-ion 18650 cells under random vibration load with respect to the inner cell design." Journal of Energy Storage 31 (2020): 101499.Jin Chul Yun. "Study on mechanical behavior of lithium ion battery using multi-scale analysis.". (2017). Pohang University of Science and Technology, PhD dissertationZhang, Chao, et al. "A representative-sandwich model for simultaneously coupled mechanical-electrical-thermal simulation of a lithium-ion cell under quasi-static indentation tests." Journal of Power Sources 298 (2015): 309-321.

Electro-Chemo-Mechanical Coupling in Hierarchical Nanoporous Gold-Polypyrrole-Water Hybrids

Nanoporous (np) metals made by dealloying is a novel class of nanostructured materials that offers numerous functionalities, ranging from sensing, energy storage, to (electro-)catalysis and beyond. A substantial amount of research in np materials has been focused on np gold due to its excellent structural and chemical stability, adjustable pore size, high conductivity, biocompatibility, and easy fabrication process via free corrosion or electrochemical dealloying. A considerable number of studies have been conducted to investigate np gold infiltrated with an aqueous electrolyte [1]. In that way, the material is considered as a hybrid so that one can reversibly tune the gold surface state by manipulating the superficial charge densities or adsorbate coverages via the applied electric potential [1]. The above-mentioned approach results in a number of intriguing properties of np Au revealed upon electrode potential variation in aqueous electrolytes such as actuation [2, 3], sensing [4], tunable strength [5] and elastic modulus [6]. The behavior is well-studied in case of weak ion adsorption and surface oxidation.One of the promising methods towards further improvement of functional and mechanical properties of np metals was implemented by Roschning and Weissmueller [7]. It was shown that the actuation strain of np Au can be enhanced via electrodeposition of a conductive polymer polypyrrole (PPy) on the gold surfaces. The actuation strain of the np Au-PPy hybrids strongly scales with the PPy phase fraction. Moreover, Li et al. [8] observed variations of effective elastic modulus in np Au-PPy-water hybrids. Thus, introducing the conductive polymer into a pore space of the np metal yields a hybrid actuator with a significantly improved actuation amplitude and yield strength.Here, we employ PPy for surface functionalization of hierarchical (hc) np Au (Figure 1) to explore the impact of the conductive polymer coating on the functional behavior of the hierarchically structured np metals. Np metals with structural hierarchy made by dealloying [9] open up new opportunities for multifunctional hard-soft hybrids. The larger pores at the higher hierarchical level (characterized by diameters around 120 nm) can promote fast mass exchange, while nanopores at the lower hierarchy level (below 30 nm) provide a large surface area and high chemical activity. Actuation behavior of the hybrid materials was analyzed in situ in a dilatometer upon potential cycling in a 1 M HClO4 aqueous electrolyte. The elastic response was examined in situ in a dynamic mechanical analyzer in the same electrolyte. We revealed pronounced changes of the macroscopic length and Young’s modulus in response to the voltage-induced redox reactions of the polymer films at the np electrodes. In the contribution, we discuss the origin of the electro-chemo-mechanical coupling phenomena.[1] Shao et al., in Nanoporous Gold: From an ancient technology to a high-tech material. RSC (2012).[2] Kramer et al. Nano Lett., 4(5) 793 (2004).[3] Jin et al. Nano Lett., 10(1) 187 (2010).[4] Stenner et al., Adv. Funct. Mater. 26 (28), 5174 (2016).[5] Jin et al., Science 332, 1179 (2011.)[6] Mameka et al., Acta Mater. 76, 272 (2014).[7] Roschning et al., Adv. Mater. Interfaces, 2001415 (2020).[8] Li et al., Acta Mater., 212 (1), 116852 (2021).[9] Shi et al., Science 371, 1026 (2021).Figure 1. Scanning electron micrograph of hierarchical nanoporous Au-PPy hybrid microstructure. Figure 1

Numerical investigation of the effective mechanical properties of Octet Truss lattice structures with different strut geometry

Lattice structures have an important role in lightweight structure applications as they can supply their mechanical performance with less material. Porous structures designed with inspiration from nature, has been used in many industries such as aerospace, automotive, defense industry and biomedical field. In order to continue these advances, studies on various design configurations of porous structure geometries are carried out. This study aimed to increase the usage potential of Octet Truss lattice structures in various sectors. A numerical model is created for 3 variable parameters: strut geometry, porosity, and material type. The effective elastic modulus values are determined based on the principles of Hooke's law for each model. Based on the obtained effective elastic modulus values, it has been concluded that differences in strut geometries, porosities, and material types contribute to 1.27%, 68.85%, and 29.86% of the observed effects, respectively. In order to establish a correlation between these factors, the data is transmitted to the MATLAB software, where equations are generated using the curve fitting approach. A total of nine equations have been generated and the R-square for these equations above 0.99. According to the two desired constant values, the effective elastic modulus can be calculated using these equations without any restrictions.

Strength characteristics and damage constitutive model of sandstone under hydro-mechanical coupling

Abstract To study the mechanical properties of saturated sandstone, experiments were conducted under hydro-mechanical coupling on saturated sandstone. A damage constitutive model was established to describe the response of saturated sandstone under pore pressure, and its validity was verified using the results of the triaxial tests. The results indicate that the peak strength (σ p), effective peak strength (σ p′), residual strength (σ r), effective normal stress (σ n′), effective shear strength (τ n′), elasticity modulus (E), and rupture angle (θ) of sandstone are positively correlated with the confining pressure (σ 3) and negatively correlated with the pore pressure (P). Conversely, Poisson’s ratio (μ) exhibits an opposite relationship. The model parameters exhibit non-linear relationships with the confining pressure (σ 3), with the parameter m decreasing gradually as the confining pressure increases, and the parameter F 0 increasing with higher confining pressure (σ 3). Moreover, the pore pressure (P) and the confining pressure (σ 3) significantly affect the damage variables (D), with the stress value at the damage initiation point increasing with increasing confining pressure (σ 3), while the strain value at the damage initiation point decreasing with increasing pore pressure (P), indicating that pore pressure induces damage development in rocks.