Total Energy Density Research Articles

Quantitative prediction of surrounding rock deformation via an energy-based damage model combining with microseismic monitoring

In this study, combined with microseismic (MS) monitoring and numerical simulation, a novel energy-based damage model is proposed for quantitatively predicting the surrounding rock deformation for the stability analysis of underground engineering. First, the rock damage range is delineated based on MS event location and source radius. Second, seismic efficiency is introduced to calculate the actual released energy, and the total releasable energy density and total stored energy density are derived from element stress information and stress–strain curves in numerical simulation. Finally, a novel energy-based damage model with definite physical significance is developed based on the above-mentioned three forms of energy. Our new model introduces MS source parameters into the classical damage variable based on dissipated energy, accurately reflecting the qualitative relationship between them, which is highly applicable to practical engineering. Moreover, this model comprehensively reflects the damage degree variation of surrounding rocks from in-situ stress state to different excavation stages and describes real-time deterioration of rock mechanical parameters. In addition, a new approach based on seismology formulation is applied to solve seismic efficiency, without requiring reference to the destruction situation. To validate our proposed model, a three-dimensional (3D) numerical simulation embedding the damage model is conducted to investigate the surrounding rock deformation behavior of underground caverns in the Lianghekou hydropower station. A reasonable consistency is observed between the simulated displacement field and source parameters distribution obtained from MS monitoring and field failure. Furthermore, compared to the original model without a damage variable, the energy-based damage model greatly improves the deformation prediction precision.

Ferrimagnetic transition, relaxor ferroelectric and optical properties in tungsten bronze Ba6MnNb9O30 ceramics

The structural, magnetic, ferroelectric, dielectric and optical properties of Ba6MnNb9O30 (BMNO) and Ba6Mn0.5Co0.5Nb9O30 (BMCNO) ceramics were investigated. The samples can be indexed by a tetragonal lattice and the space group of P4bm with the presence of a tiny amount of impurity phase Ba1.04NbO3. The sample BMNO undergoes a short-range ferrimagnetic-like transition at 43 K originating from the spin canting of the antiferromagnetic coupling between the adjacent Mn2+ and Mn3+ based sublattices via the Dzyaloshinskii-Moriya interaction, whereas the sample BMCNO exhibits a local short-range antiferromagnetic state with the presence of weak ferromagnetic ordering. Both samples show the relaxor ferroelectric nature. The sample BMCNO possesses a superior energy storage property with a total energy density of 1.58 J/cm3 and a conversion efficiency of 74.5 %, which can be mainly ascribed to the improved densification and the reduced oxygen vacancies. Two different dielectric relaxations are discussed in term of the Vogel-Fulcher law. In addition, all samples have two different absorption edges and the optical band gaps are determined to be about 2.2 eV and 2.8 eV.

Structural, topological, vibrational, and electronic analysis, and ADMET study of methyl-2-(4-isobutylphenyl)propanoate

In this work, the methyl ibuprofen ester, named methyl-2-(4-isobutylphenyl)propanoate (C14H20O2, hereinafter MET-IBU).was synthesized and characterized by 1D- and 2D-NMR, ATR-FTIR, FT-Raman, and UV–Vis spectroscopy, while their structural, QTAIM topological and spectroscopic properties were investigated using DFT calculations. Through the analysis of the topological properties of the electron density computed at bonding critical points (BCP's) for MET-IBU molecule were determined the electron density, the Laplacian of electron density, the eigenvalues of Hessian matrix, the ellipticity of electron density, the potential energy density, the kinetic energy density in the Lagrangian and Hamiltonian forms, the total energy density, the Lagrangian density, and the electron delocalization index. Density Functional Theory (DFT) calculations were also used to determine the vibrational normal modes, the frontier molecular orbitals (FMOs), the dipole moment, and the molecular electrostatic potential (MEP) of MET-IBU. Theoretical UV absorption spectrum was also evaluated from time-dependent density functional theory (TD-DFT) providing the electronic transitions, which are expected for this compound. The molecular descriptors of the properties of absorption, distribution, metabolism and excretion, and toxicity (ADMET) were obtained. Empirical models for estimating ADME attributes showed that the MET-IBU has a distribution volume that allows permeability and activity in the Central Nervous System - CNS, with structural contributions from the side chain of isobutyl and methoxy that favor liver metabolism and excretion with a low toxic response. Furthermore, the MET-IBU does not have ionizable centers compared to its analog Ibuprofen constituting a more lipophilic chemical product.

Process optimization and performance verification of CFRP laser surface modification

AbstractAdhesive bonding has gradually replaced mechanical connections as the primary method for composite material bonding, with surface quality being the key factor determining the effectiveness of composite material adhesion. Laser surface treatment, known for its green and precise characteristics, has garnered widespread attention from both academia and industry. However, the process parameters of laser surface treatment are complex, efficiency is low, and the mechanism remains unclear. This paper, based on the response surface methodology (RSM), investigates the influence of laser secondary parameters on the resin removal rate of carbon fiber reinforced polymer/plastic (CFRP) surfaces and the impact of defocusing on surface treatment efficiency. The results indicate that when the total laser energy density (Et) is 69 J/cm2, the overlap ratio in the warp direction (OLs) is 76%, and the overlap ratio in the weft direction (OLh) is 85%, the surface tensile shear strength increases by 90.59% and 27.77% compared to the original surface and polished surface, respectively. When the defocus distance is +8 mm, the efficiency of laser surface treatment is 2.25 times that of non‐defocus, with minimal impact on mechanical performance. The surface treatment mechanism, with changes in Et, primarily involves the pure thermal decomposition of the resin matrix in an oxygen‐free environment, oxidative decomposition, and the synergistic action of the decomposition products' oxidation. Through the coupled optimization of laser process parameters, this work enhances the efficiency and effectiveness of composite material adhesive surface treatment, promoting the engineering application of laser technology.Highlights By establishing a response surface model, the study elucidated the impact patterns of laser secondary parameters (overlap rates in the warp and weft directions, total energy density) on the resin removal rate of CFRP surfaces. Based on the laser surface treatment phenomena at different total energy densities, the study analyzed and revealed the mechanism of near‐infrared (1064 nm) laser resin removal from CFRP surfaces. By increasing the spot size through defocusing, the efficiency of laser surface treatment was enhanced, and the impact on the interfacial properties of CFRP after defocused treatment was validated.

Lifetime Prediction Method of the Traction Converter IGBT Based on Plastic Strain Energy Density

Insulated gate bipolar transistor (IGBT) is the most important power electronic component in the traction converters of trains. During the operation of the IGBT, the solder layer is continuously subjected to alternating stress, which eventually leads to the fatigue failure of the solder layer. Therefore, an accurate assessment of the lifetime of the IGBT module solder layer is of great importance for the safe and reliable operation of the trains. Firstly, the micromechanism of the plastic deformation of the base solder layer of the IGBT module is introduced, as well as the lifetime model based on the plastic strain energy density. Then the total plastic strain energy density of the base solder layer is determined by conducting the accelerated aging tests on the IGBT module and combining the finite element simulation results. Meanwhile, the relationship between different aging degrees of the base solder layer of the IGBT module and the plastic strain energy density is studied by finite element simulation. Then, the lifetime of the base solder layer at different aging stages is calculated based on the above results so that the total lifetime of the IGBT module is obtained. Finally, the predicted lifetime of the IGBT module by the proposed method is compared with the lifetime obtained by the accelerated aging test and compared with the traditional lifetime prediction method based on the Coffin-Manson-Arrhenius model. The comparison results verify the accuracy of the proposed lifetime prediction method in this paper.

Properties of Electrode Materials and Electrolytes in Supercapacitor Technology

This thorough review article offers a cutting-edge analysis of the essential characteristics and developments in electrode materials and electrolytes for supercapacitor technology. We start by going over the basics of supercapacitors and how important characterization methods like electrochemical impedance spectroscopy, galvanostatic charge-discharge, and cyclic voltammetry work. Specific capacitance, energy, and power densities, three essential characteristics that are crucial for assessing supercapacitor performance, are carefully covered in this work. We also analyze the many kinds of capacitors, including hybrid supercapacitors, electric double-layer capacitors, pseudocapacitors, and supercapacitors, and explain their working principles and material-specific characteristics. The study highlights the importance of metal oxides and hydroxides, carbon-based materials, conductive polymers, and novel and hybrid materials such as MXenes and metal-organic frameworks. The special qualities of each material class, such as large surface area, electrical conductivity, and particular redox properties, are highlighted in this section. These qualities are crucial for maximizing the performance of supercapacitors. The topic of electrode materials is discussed in detail, including their benefits and the difficulties and chances to improve energy storage, stability, and affordability. Parallel to this, the study thoroughly examines various electrolyte kinds, a sometimes overlooked yet essential part of supercapacitor technology. Discussed include ionic conductivity, operating voltage windows, safety profiles, and electrochemical stability of aqueous, organic, ionic liquid, gel, and solid-state electrolytes. This paper highlights the relationship between supercapacitor performance and electrolyte type, explaining how electrolyte selection affects total energy density, power density, and operational longevity. This review article covers supercapacitor technology in detail and with a wide scope and is an invaluable resource. It is a fundamental work for scholars and practitioners new to the area. It offers sophisticated insights that may encourage creativity and application-specific advancement in this quickly changing field. The study presents a comprehensive analysis of the present and future developments in supercapacitor materials and technology, establishing it as a vital resource in the continuous search for cutting-edge energy storage solutions.

The Hubble tension from the standpoint of quantum cosmology

The Hubble tension is analyzed in the framework of quantum cosmological approach. It is found that there arises a new summand in the expression for the total energy density stipulated by the quantum Bohm potential. This additional energy density acts similarly to a stiff matter component, modifying the expansion history of the early universe and decaying with scale factor a as a-6\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$a^{-6}$$\\end{document}, faster than radiation, in late universe. Taking account of this matter-energy component of quantum nature can, in principle, eliminate a discrepancy between the direct late time model-independent measurements of the Hubble constant and its indirect model dependent estimates. The considered model allows one to extend the standard cosmology to quantum sector.

Photobiomodulation Recovers the Submandibular Gland in Vismodegib-Treated Rats.

Objective: The submandibular gland (SMG) produces the most saliva, and factors such as aging and chemotherapy can affect its structure and function. However, there are only temporary treatments available for salivary hypofunction. This study aimed to evaluate the effects of photobiomodulation (PBM) on the function of SMG by using a rat animal model and vismodegib, an antagonist of the sonic hedgehog (SHH) pathway. Methods: Vismodegib (10 mg/kg) drug was gavaged orally for 14 days in rats to significantly decrease the SHH signaling proteins [SHH, protein patched homolog 1 (PTCH1), smoothened protein (SMO), glioma-associated oncogene homolog 1 (GLI1)], induce damage in SMG tissue, and affect salivary functional markers AQP5 and Keratin5. After that, in conjunction with vismodegib administration, PBM was performed using an 850 nm high-power light-emitting diode (LED) device treated daily for 6 days at varying total energy densities of 60, 120, and 180 J/cm2 in at least 3 rats per group. The test results were confirmed by Western blot, immunofluorescence staining, and hematoxylin and eosin staining, and the statistics were t-test or one-way analysis of variance (ANOVA) with Tukey's multiple comparisons tests. Results: Significant decreases in the expression of SHH-related proteins (PTCH1, SMO, GLI1, p < 0.05) with damage of SMG ductal cells were observed with vismodegib administration. However, a significant increase in the expression levels of SHH-related proteins (SHH, SMO, GLI1, p < 0.05) and recovery of SMG ductal cells damaged after vismodegib administration were observed for PBM-treated groups. Salivary functional marker AQP5 also showed the same increase or decrease. Conclusions: This study found that vismodegib damages SMG ductal cells and decreases SHH-related proteins and associated salivary functional markers. Also, 850 nm high-power LED recovered the damaged structure of SMG and increased SHH-related proteins and salivary functional markers. The study results suggest that PBM can restore SMG structure and function through SHH signaling.

Phonon Transport Characteristics of Nano-Silicon Thin Films Irradiated by Ultrafast Laser under Dispersion Relation

The gray model simplifies calculations by ignoring phonon polarization, but sacrifices a certain level of computational accuracy. In effect, the frequency and wavevector of phonons form complex polarization patterns, which means their propagation modes and vibrational directions have different influences. Therefore, based on the phonon dispersion relations in silicon, the lattice Boltzmann method is used to analyze the phonon transport characteristics in nano-silicon films under ultrafast laser excitation. The results show that the total energy density distribution obtained by superimposing acoustic and optical branches exhibits multiple wave-like behaviors. Among them, the acoustic branch has excellent transfer capability, dominating the rate at which the total energy density reaches a steady state distribution, while the optical branch has stronger heat capacity characteristics, with a greater impact on the peak value of the total energy density. When the heat transfer approaches a steady state, the longitudinal optical branch surprisingly contributes up to 52.73%. This indicates that the often-neglected optical phonons should also receive sufficient attention. Additionally, compared to the results of the gray model, it is found that the dispersion model is preferred when more attention is paid to the propagation characteristics during phonon transport.

High fractal-dimensional carbon conductive agent for improving the Li storage performance of Si-based electrode

Constructing stable Si electrodes with high areal capacity is crucial for improving the total energy density of lithium ion batteries (LIBs). However, it remains challenging because the poor intrinsic conductivity and serious pulverization of Si usually lead to the active material falling-off from the conductive network. Herein, we demonstrate novel spatially extended graphene ribbons with a high fractal-dimension structure (HFGR-400), which can construct highly conductive and mechanically reinforced networks when used as the conductive agent for Si electrodes. The HFGR-400 added electrode shows 1.5–3.2 times higher conductivity and 1.4–2.3 times larger peeling strength than those of the commonly used carbon conductive agent added electrodes. Moreover, the flexible HFGR-400 ribbons with appropriate amount of functional groups ensure large contact area and strong interfacial interaction with Si particles, but without blocking the ion transport channels. Therefore, the HFGR-400 added Si electrode exhibits good cycle stability (2051.8 mAh/g after 200 cycles) and high rate performance. Moreover, the high Si mass loading HFGR-400 electrode shows a competitive areal capacity of 3.5 mAh cm−2 after 200 cycles, superior to most of the reported Si-based electrodes. Our work highlights the importance of conductive agents with high fractal-dimension structure for practical Si-based electrodes.

Comparative study of various adsorbents for adsorption-based thermal energy storage

Adsorption-based thermal energy storage (ATES) systems can potentially replace conventional heating technologies. This research explores the application of ATES systems for heating, focusing on the performance of various adsorbents using lumped parameter modeling. UiO-66, MOF-801, and their modified counterparts are evaluated alongside silica gel in terms of total and useful energy for end-users. Analysis of the ATES system encompasses Coefficient of Performance (COPh), Specific Heating Power (SHP), and Temperature Lift (ΔT) across different operating conditions. Isotherm characteristics reveal that (CH3)2-MOF-801 and NH-UiO-66 excel in water uptake at low relative pressures (Henry's region), resulting in high total and useful energy density. Notably, higher cooling water flow rates generally enhance Energy Storage Density (ESD) for materials like silica gel, UiO-66, and NH2-UiO-66, albeit at the cost of reduced SHP and COPh. Conversely, lower flow rates can lead to higher temperature lift (ΔT) for specific materials, although with a slight ESD decrease. Adjusting the chilled water inlet temperature typically favors ESD and COPh with higher temperatures while affecting SHP and ΔT differently. Heat source temperature impacts ESD and SHP variably due to isotherm characteristics and dynamic water uptake. The results highlight the superiority of (CH3)2-MOF-801 and N-UiO-66, achieving 91 % and 76 % of total energy density, with 94 kg of (CH3)2-MOF-801 covering 89 % of energy requirements for a single South Korean home annually.

A Ductile Fracture Phase Field Model Based on Strain Rate‐Dependent Fracture Toughness

The numerical simulation of ductile fracture failure plays an important role in the evaluation of the integrity of engineering structures with the development of computing science and technology. As a competitive approach to predict fractures, the phase field model has been developed for about two decades to deal with a variety of crack growth problems. Rate‐dependent fracture is an important research interest, and some studies have begun to focus on using phase field method to predict rate‐dependent fracture. Such as coupling viscous material constitutive with phase field or defining a rate‐dependent fracture toughness within the framework of phase field models. In this paper, a ductile fracture phase field model based on strain rate‐dependent fracture toughness is presented to describe the rate‐dependent mechanical response in elastoplastic materials such as metallic alloys. The fracture toughness is defined as a power function of the plastic strain rates, which can make a more flexible control of the rate‐dependent behavior of ductile fracture compared with the existing phase field methods. Additionally, a total energy density threshold is introduced to ensure a real stress‐strain response of elastoplastic materials prior to crack growth. Several numerical examples are conducted to illustrate the effectiveness of this model.

The matter Lagrangian of a non-perfect fluid

We show that the matter Lagrangian of a non-perfect fluid takes the negative or positive value of the total energy density of the fluid, which is composed of the rest plus internal energy densities. The ambiguity of the sign depends on the definition of the matter action and the chosen signature.

10,600 nm High Level-Laser Therapy Dosimetry in Management of Unresponsive Persistent Peripheral Giant Cell Granuloma to Standard Surgical Approach: A Case Report with 6-Month Follow-Up.

Peripheral giant cell granuloma (PGCG) is a non-neoplastic, tumour-like reactive lesion that exclusively involves the gingiva and/or the alveolar crest. The surgical approach with a scalpel has been the golden standard of treatment for PGCG, but the scientific literature reports a high rate of lesion recurrence. Hence, this unique case report aimed to evaluate the efficacy of λ 10,600 nm high-level laser therapy (HLLT) in eradicating persistent, aggressive, and recurrent PGCG that failed to respond to standard surgical treatment. A fit and healthy thirty-four-year-old Caucasian male presented with a two-month history of recurrent episodes of an oral mucosal lesion involving the buccal and lingual interdental papillae between the lower right second premolar (LR5) and lower right first molar (LR6), which was surgically excised with a scalpel three times previously. A λ 10,600 nm-induced HLLT was chosen as a treatment modality at a lower peak power of 1.62 W, measured with a power metre, emitted in gated emission mode (50% duty cycle), whereby the average output power reaching the target tissue was 0.81 W. The spot size was 0.8 mm. Ninety seconds was the total treatment duration, and the total energy density was 7934.78 J/cm2. Patient self-reporting outcomes revealed minimal to no post-operative complications. Initial healing was observed on the 4th day of the post-laser treatment, and a complete healing occurred at two-weeks post-operatively. The histological analysis revealed PGCG. This unique case report study demonstrated the efficacy of λ 10,600 nm-induced HLLT and its superiority to eradicate persistent aggressive PGCG over the standard surgical approach with minimal to no post-operative complications, accelerating wound healing beyond the physiological healing time associated with no evidence of PGCG recurrence at the six-month follow-up timepoint. Based on the significant findings of this unique study and the results of our previous clinical studies, we can confirm the validity and effectiveness of our standardised λ 10,600 nm laser dosimetry-induced HLLT and treatment protocol in achieving optimal outcomes. Randomised controlled clinical trials with large data comparing λ 10,600 nm with our dosimetry protocol to the standard surgical treatment modality at long follow-up timepoints are warranted.

Modulation of Prelithiation Solution for Hard Carbon Anodes of Lithium-Ion Batteries

The increasing demand for high-energy and high-power lithium-ion batteries (LIBs) in portable gadgets and electric vehicles has led to exploration of high-performance silicon and hard carbon (HC) anodes to replace traditional graphite anodes. However, their practical application is hindered by low initial coulombic efficiency and large irreversible capacity, which decreases the total energy density. Prelithiation is a strategy to restore energy density by supplying additional Li ions. Chemical prelithiation, involving immersing the electrode in a reductive Li−aromatic hydrocarbon (arene) complex solution, is a standout method due to its safety, high efficiency, and practical feasibility. It not only restores the lost lithium but also aids in maintaining a more stable solid electrolyte interphase layer to guarantee battery cycling stability. The first part of our study addresses the issue of expensive and impractical arene complexes for prelithiation, we focus on using low-cost and commercially available aromatic compounds such as naphthalene and methyl-substituted naphthalene compounds. This study investigates the effects of electron-donating methyl groups on naphthalene on the prelithiation activity toward HC using density functional theory calculations. In the second part of this study, we use low-cost and easily available solvents such as ethylene glycol dimethyl ether, bis(2-methoxyethyl) ether, and triethylene glycol dimethyl ether for chemical prelithiation. Ether solvents have a desirable solvation effect with Li+, and the ether with low solvation power enhances the prelithiation activity. The degree of prelithiation is greatly affected by the reaction time, and the details of this relationship are rarely investigated. In the final part of our study, we conduct a detailed investigation on the effects of various reaction times on the prelithiation activity toward the HC anode. This study provides useful insights for effective prelithiation, in terms of choosing aromatic compounds, solvents, and reaction time.

Energy Evolution Law of Sandstone Material during Post-Peak Cyclic Loading and Unloading under Hydraulic Coupling

The sustainability of rock engineering is an emerging trend in future development, as society increasingly recognizes the importance of environmental conservation and responsible resource utilization. In this context, the field of rock engineering is undergoing a paradigm shift toward more sustainable practices. A significant aspect of this shift is the investigation of energy evolution laws specific to rocks, which assumes paramount importance in ensuring the sustainable utilization of damaged rock roadways. To investigate the impact of confining pressure and pore pressure on the energy evolution characteristics of rock beyond the peak, post-peak cyclic loading and unloading tests were conducted on sandstone specimens under hydraulic coupling conditions using the MTS815 rock mechanical test system. The study encompassed three sets of confining pressures, namely, 10 MPa, 20 MPa, and 30 MPa. Different levels of pore pressure were applied within each confining pressure group. For the 10 MPa confining pressure, the pore pressure values were set at 2 MPa, 4 MPa, 6 MPa, and 8 MPa. Similarly, for the 20 MPa and 30 MPa confining pressures, the corresponding pore pressure values were 2 MPa, 6 MPa, 10 MPa, 14 MPa, 18 MPa, and 22 MPa. The experimental findings indicate that as the confining pressure increases, both the maximum and residual elastic energy densities of the rock gradually increase. The rise in confining pressure impedes the release of elastic energy. Moreover, with increasing confining pressure, the rate of increase in the maximum dissipated energy density diminishes, highlighting the inhibitory effect of confining pressure on energy dissipation and release within the rock. Pore pressure, on the other hand, disrupts the load-bearing structure of the rock and reduces its energy storage capacity. Under a constant confining pressure, for a fixed number of cycles (axial strain), the total input energy density, elastic energy density, and dissipation energy density exhibit a negative correlation with pore pressure. With an increase in the number of cycles (axial strain), the proportion of elastic energy initially rises but subsequently declines, while the proportion of dissipated energy follows the opposite trend. Furthermore, as the confining pressure increases, the peak proportion of elastic energy also tends to increase. This indicates that higher confining pressures promote energy accumulation after rock failure, enhancing the rock’s ability to store elastic energy.

Enhancement of energy storage performances in BaTiO3-based ceramics via introducing Bi(Mg2/3Sb1/3)O3

Lead-free relaxor ferroelectric ceramics have attracted extensive attention on account of their excellent energy storage properties. However, these ceramics still have some difficulties in improving the energy storage density, efficiency and stability. Herein, (1-x)BaTiO3-xBi(Mg2/3Sb1/3)O3 (BT-xBMS, x = 0.08, 0.12, 0.16, and 0.20) ceramics were designed in this study. After the addition of Bi/Mg/Sb (BMS) elements into BaTiO3(BT) system, the grain size of ceramics increases obviously. And the grain boundary activation energy increases with the increase of resistivity, which is due to the difficulty of grain boundary oxygen vacancy transition. This measure can effectively enhances the breakdown strength (Eb), thereby improving the energy storage properties. Significantly, it is worth mentioning that BT-0.16BMS ceramics exhibit excellent total energy density (Wtotal = 4.56 J/cm3), large recyclable energy storage density (Wrec = 4.28 J/cm3) and high efficiency (η = 93.70 %) under Eb of 550 kV/cm. In particular, BT-0.16BMS ceramics achieved excellent current density (CD = 1475.58 A/cm2), power density (PD = 177.07 MW/cm3), discharge energy density (Wd = 1.35 J/cm3) and extremely fast discharge time (t0.9 = 27.34 ns). In addition, BT-0.16BMS ceramics have excellent temperature range (20–140 °C) and frequency (1–200 Hz) stability. Therefore, the excellent energy storage properties make BT-0.16BMS ceramics have broad prospects in advanced pulse power capacitors.

A New Class of Simple, General and Efficient Finite Volume Schemes for Overdetermined Thermodynamically Compatible Hyperbolic Systems

In this paper, a new efficient, and at the same time, very simple and general class of thermodynamically compatible finite volume schemes is introduced for the discretization of nonlinear, overdetermined, and thermodynamically compatible first-order hyperbolic systems. By construction, the proposed semi-discrete method satisfies an entropy inequality and is nonlinearly stable in the energy norm. A very peculiar feature of our approach is that entropy is discretized directly, while total energy conservation is achieved as a mere consequence of the thermodynamically compatible discretization. The new schemes can be applied to a very general class of nonlinear systems of hyperbolic PDEs, including both, conservative and non-conservative products, as well as potentially stiff algebraic relaxation source terms, provided that the underlying system is overdetermined and therefore satisfies an additional extra conservation law, such as the conservation of total energy density. The proposed family of finite volume schemes is based on the seminal work of Abgrall [1], where for the first time a completely general methodology for the design of thermodynamically compatible numerical methods for overdetermined hyperbolic PDE was presented. We apply our new approach to three particular thermodynamically compatible systems: the equations of ideal magnetohydrodynamics (MHD) with thermodynamically compatible generalized Lagrangian multiplier (GLM) divergence cleaning, the unified first-order hyperbolic model of continuum mechanics proposed by Godunov, Peshkov, and Romenski (GPR model) and the first-order hyperbolic model for turbulent shallow water flows of Gavrilyuk et al. In addition to formal mathematical proofs of the properties of our new finite volume schemes, we also present a large set of numerical results in order to show their potential, efficiency, and practical applicability.

An Investigation of Modular Composable Acoustic Metamaterials with Multiple Nonunique Chambers.

To make the sound absorber easy to fabricate and convenient for practical application, a modular composable acoustic metamaterial with multiple nonunique chambers (MCAM-MNCs) was proposed and investigated, which was divided into a front panel with the same perforated apertures and a rear chamber with a nonunique grouped cavity. Through the acoustic finite element simulation, the parametric studies of the diameter of aperture d, depth of chamber T0, and thickness of panel t0 were conducted, which could tune the sound absorption performances of MCAM-MNCs-1 and MCAM-MNCs-2 for the expected noise reduction effect. The effective sound absorption band of MCAM-MNCs-1 was 556 Hz (773-1329 Hz), 456 Hz (646-1102 Hz), and 387 Hz (564-951 Hz) for T = 30 mm, T = 40 mm, and T = 50 mm, respectively, and the corresponding average sound absorption coefficient was 0.8696, 0.8854, and 0.8916, accordingly, which exhibited excellent noise attenuation performance. The sound absorption mechanism of MCAM-MNCs was investigated by the distributions of the total sound energy density (TSED). The components used to assemble the MCAM-MNCs sample were fabricated by additive manufacturing, and its actual sound absorption coefficients were tested according to the transfer matrix method, which demonstrated its feasibility and promoted its actual application.

Experimental study on the effect of titanium hydride content on the detonation performance of emulsion explosives

AbstractIn order to improve the explosion characteristics of emulsion explosives, titanium hydride was added to emulsion explosives to produce a new type of hydrogen storage emulsion explosives. Charges with different contents of titanium hydride were evaluated through underwater explosion experiments and detonation velocity tests. The tests on underwater explosion and detonation velocity reveal that compared to pure emulsion explosives, the detonation parameters of emulsion explosives containing titanium hydride showed a trend of first increasing and then decreasing. When the mass ratio of titanium hydride in the emulsion explosive is 1 % to 3 %, all detonation parameters have been improved to a certain extent. When the mass ratio of titanium hydride in the emulsion explosive is 3 % to 10 %, only part of the detonation parameters (specific impulse, specific shock energy, specific total energy and volume energy density) has been improved. The maximum increase of specific impulse, specific shock energy, specific total energy and volume energy density of emulsion explosive containing titanium hydride is 7.06 %, 8.95 %, 3.97 % and 8.22 %, respectively. Based on the analysis, it is evident that though powdered TiH2 participates in the detonation reaction process of the emulsion explosive, the majority of TiH2′s energy is released during the secondary reaction occurring after the detonation wave front. Therefore, the detonation performance of emulsion explosives can be effectively improved by adding a certain mass ratio of titanium hydride.