Equivalent Poisson's Ratio Research Articles

Assessment of Free Energy Functions for Sand

ABSTRACTThe advantages of constitutive models in energy‐conservation frameworks have been widely addressed in the literature. A key component is choosing an appropriate energy potential to derive the hyperelastic constitutive equations. This article investigates the advantages and limitations of different energy potentials found in the literature based on mathematical conditions to guarantee numerical stability, such as the desired order of homogeneity, positive and non‐singular stiffness within the application range, and equivalent Poisson's ratio from a constitutive modelling standpoint. Potentials meeting the aforementioned criteria are employed to simulate the response envelopes of Karlsruhe fine sand (KFS). Moreover, the performance of the potentials, in conjunction with plasticity theories, is examined. To achieve this, the hyperelastic constitutive equations have been coupled with the bounding surface plasticity model of Dafalias and Manzari to reproduce the soil response in a hyperelastic–plastic frame. Finally, one of the potentials is modified, whereas recommendations for incorporating other appropriate free energy functions into different soil constitutive models are presented. Furthermore, 100 closed elastic strain cycles have been simulated with the bounding surface plasticity model of Dafalias and Manzari considering the original hypoelastic stiffness and hyperelastic–plastic constitutive equations. Using the hypoelastic framework in the simulation led to stress accumulation after 100 closed elastic strain loops, while a reversible response was predicted using the hyperelastic stiffness tensor.

Experimental measurement and simulation of the biaxial mechanical properties of solid propellant HTPB

AbstractHydroxyl‐terminated polybutadiene (HTPB) solid propellant was widely used in carrier rocket and guided missiles, owing to its excellent mechanical properties. The material of HTPB subjected to complex load such as in the process of manufacturing, storage and transportation. Therefore, the mechanical properties of HTPB had important implications for the safety of structure and service life. The purpose of this work is to study the effects of different loading ratios and loading speeds on the biaxial tension of hydroxyl‐terminated polybutadiene (HTPB) solid propellant with a proper kind of biaxial tensile specimen and a high volume fraction three dimensional particle filling model of the material. The proper kind of biaxial tensile specimen with which the stresses in its central part could be obtained with the loads acted on each loading direction was designed and used in the study, and the strains in its central parts were obtained with digital image correlation (DIC) method. The stress‐strain relationship at each direction could be obtained by experiments. Experimental results indicated that the loading speed remarkably influenced the biaxial tensile behaviors of HTPB propellant at room temperature and at different loading ratios. The finite element simulation results demonstrated the accuracy of the biaxial experiment. Based on the experimental results, the particle debonding in biaxial experiments were analyzed and an equivalent Poisson's ratio parameter was proposed to evaluate the degree of debonding. The highly volume fraction three dimensional particle filling model provides a good simulation with experimental results and the equivalent Poisson's ratio parameter can conveniently and accurately determine the debonding of particles which is meaningful to the structure integrity assessment of HTPB solid propellant.

An Investigation on Stress States of the Cataclastic Rock Specimen under Confined Compression Based on Modified Thick-walled Cylinder Model

In high in-situ stress zones, cataclastic rocks have exerted a significant influence on the stability of engineering structures. However, the mechanical properties of cataclastic rocks can not be accurately studied due to difficulties in sampling and laboratory testing. In this paper, laterally confined compression tests for specimens that were obtained by the developed in-situ sampling devices were performed to investigate the stress states. A modified thick-walled cylinder model considering axial shear stress was introduced. The interaction mechanics model for a compressed sample and an equivalent single-layer cylinder was established. Based on the principle of elasticity, the laterally confined stress, the axial shear stress, and the axial stress of the sample were derived and obtained. Moreover, the effects of mechanical and geometric parameters of the equivalent cylinder on the force condition of the specimen were analyzed. The results show that the confined stress is positively correlated with the equivalent elastic modulus and the geometric factor. Therefore, the confined stress can be strengthened by increasing the elastic modulus, alternatively, increasing the outer diameter and decreasing the inner diameter. However, the axial stress is little affected by the equivalent elastic modulus and the geometric factor and is not affected by the equivalent Poisson's ratio. As the distance from the center height increases, the axial stress decreases linearly and the difference in axial stress becomes larger considering axial shear stress and ignoring axial shear stress.

Study on mechanical properties of cellular structures with negative Poisson's ratio based on the development of Abaqus plug-in tool

A parametric modeling approach is proposed based on secondary development of Abaqus and a plug-in tool is designed for emulation analysis on cellular structures through graphical user interface. Firstly, star honeycomb (SH), double-headed arrow honeycomb (DAH), and re-entrant hexagon honeycomb (RHH) are chosen, and prediction models are established to estimate their mechanical properties based on homogenization theory. Then, equivalent Poisson's ratio, elastic modulus and platform stress are verified through quasi-static compression tests and simulation analysis on DAH. Subsequently, the corresponding prediction models can be integrated into the plug-in tool to pre-analyze mechanical properties of cellular structures by inputting various geometric parameters. Secondly, parametric modeling on the three cellular structures is executed. Then, attribute assignments of material, load and constraint properties are set based on Python program. Based on this, the plug-in tool is utilized to output geometric models automatically and acquire target output data employed to draw curves by MATLAB. Then, quasi-static compression tests on RHH are performed to verify the accuracy of parametric models generated by plug-in tool. Eventually, multi-condition impact mechanical properties of RHH and the influences of structural parameters on mechanical properties of the SH are investigated based on the developed plug-in tool.

Mechanical properties of re-entrant chiral anisotropic honeycomb

In this paper, we proposed a honeycomb structure with enhanced anisotropy in the orthogonal direction with a re-entrant chiral hybrid deformation mechanism. The analytical formulas for the equivalent Poisson's ratio and normalized Young's modulus were derived based on the theory of the Timoshenko beam under small static deformations and verified by experiments and finite element simulations. Parametric analysis demonstrated the extreme anisotropy of this structure in the orthogonal direction, achieving a Poisson's ratio −10 or lower in one direction, while remaining nearly zero in the other direction. This property allowed the structure to be designed into a tubular stent that remained stable along its axial length when subjected to a compressive load in the radial direction. However, the stent underwent significant contraction in the radial direction when a compressive load was applied along the axial direction. This stent is expected to have biomedical applications to solve problems associated with cardiovascular obstruction, esophageal obstruction, and airway stenosis.

Mechanics Characteristics of a 3D Star-Shaped Negative Poisson's Ratio Composite Structure.

A negative Poisson's ratio honeycomb material has the characteristics of anti-conventional deformation behavior and high impact resistance, which is a new lightweight microstructure material with broad application prospects. However, most of the current research is still at the microscopic level and two-dimensional level, and little research has been carried out for three-dimensional structures. Compared with the two-dimensional level, three-dimensional negative Poisson's ratio structural mechanics metamaterials have the advantages of a lighter mass, higher material utilization, and more stable mechanical properties, and they have great potential for development in the fields of aerospace, the defense industry, and vehicles and ships. This paper presents a novel 3D star-shaped negative Poisson's ratio cell and composite structure, inspired by the octagon-shaped 2D negative Poisson's ratio cell. The article carried out a model experimental study with the help of 3D printing technology and compared it with the numerical simulation results. The effects of structural form and material properties on the mechanical characteristics of 3D star-shaped negative Poisson's ratio composite structures were investigated through a parametric analysis system. The results show that the error of the equivalent elastic modulus and the equivalent Poisson's ratio of the 3D negative Poisson's ratio cell and the composite structure is within 5%. The authors found that the size of the cell structure is the main factor affecting the equivalent Poisson's ratio and the equivalent elastic modulus of the star-shaped 3D negative Poisson's ratio composite structure. Furthermore, among the eight real materials tested, rubber exhibited the best negative Poisson's ratio effect, while the copper alloy showed the best effect among the metal materials, with a Poisson's ratio between -0.058 to -0.050.

PECULIARITIES OF TRANSPORTATION OF GRAIN PRODUCTS BY CONVEYOR SPIRALS

Under the current conditions of price growth, the expansion of agricultural enterprises and the creation of new ones based on them, the economic feasibility and practical possibility of purchasing the necessary equipment has significantly decreased. In connection with this and with the aim of expanding the functional capabilities of the technical means available in farms, the application of devices to serial machines is becoming more and more effective. The article presents an overview of modern attached screw equipment for quick unloading of motor vehicles. When designing screw equipment, it is necessary to take into account the peculiarities of their transport properties. The transportation of bulk goods by angle screw equipment depends on the frequency of rotation and the level of filling of the conveyor with the product. Structural and mechanical properties primarily depend on the density of packing of particles of loose material, their relative mobility. The mechanical properties of such a structure can be described by the equivalent modulus of elasticity and the equivalent Poisson's ratio. The nature of energy transfer in a loose material is largely determined by the forces of friction and adhesion at the points of contact of its particles. A characteristic feature of screw conveyors is that the screw working body is freely (without supports) located in an elastic or rigid casing and along its inner surface transports the material to the unloading area. The article presents the main theoretical ratios for determining the effectiveness of hinged screw products. A study was conducted to determine the influence of the main technical parameters on the performance of high-speed conveyors at a large angle.

Monte Carlo simulation for exploring the mechanical properties of particle-reinforced composites based on the scale boundary finite element method

Particle-reinforced composites are a widely favored high-performance material. Mechanical properties are important indicators for evaluating composite materials. This paper presents a method for analyzing the mechanical properties of particle-reinforced composites. The way is based on the Scaled Boundary Finite Element Method (SBFEM) and Monte Carlo method to study the mechanical properties of composite materials. This study will explore the mechanical properties of particle reinforced composites from three aspects: equivalent modulus, equivalent Poisson's ratio, and the major principal stress. First, the number of models is determined by the Monte Carlo method. Secondly, the factors affecting the mechanical properties of composites and their influencing laws are analyzed from inclusion distribution (inclusion volume ratio, inclusion number, inclusion distribution density) and inclusion shape factor (elliptical Shape features, 6inclusion distribution angle). Finally, the fitting equation for evaluating the mechanical properties of composites is given. Compare the calculated results with the statistical results to verify the validity of the fitting function. A total of 160,000 computational models are analyzed in this work. The conclusion includes the variation law and fitting function of particle-reinforced composites' mechanical properties.

Topology design and equivalent mechanical properties of a three-dimensional star-shaped auxetic structure

Topology design is the most important method of obtaining optimal material distribution that is directly related to the mechanical properties of structural materials. Aimed at improving the accuracy and efficiency of topology design, this paper explores an innovative topological technique that integrates a sigmoid-rational approximation of material properties approach, with a modified optimality criteria algorithm. Furthermore, a three-dimensional (3D) star-shaped auxetic structure, based on the sigmoid-rational approximation of material properties approach and a modified optimality criteria technique is proposed. The unit cell structural parameters are extracted, and the mechanical properties of the 3D star-shaped structure, including the relative density, equivalent elastic modulus, and equivalent Poisson's ratio, are investigated using mechanical derivation, numerical, and experimental methods. The subsequent results demonstrate that the sigmoid-rational approximation of material properties approach and a modified optimality criteria technique provides a feasible novel idea for multicellular structure development and that the advantageous 3D star-shaped auxetic structure has great potential within the field of structural safety.

Design, simulation and experimental verification of novel 3D metamaterial structures with negative Poisson’s ratio

In order to improve the specific stiffness of negative Poisson's ratio metamaterial structures. In this paper, a novel circular NPR (negative Poisson's ratio) metamaterial structure was designed. The equivalent Poisson's ratio and the equivalent elastic modulus of the circular NPR were deduced, and the mechanical properties of the circular NPR structure and the cube NPR structure were compared. Meanwhile, the influence of geometrical size on the Poisson's ratio of the whole structure was studied. The results show that the circular structure has the properties of negative Poisson's ratio. Compared with the cube NPR structure, under the same external dimensions, the weight of the circular NPR structure was reduced by 16.7%. When the two structures were applied the same load, the Von Mises stress of the circular NPR structure decreased by 71.6% compared with that of the cube NPR structure in the elastic range. Due to its light weight and greater resistance to deformation, the specific stiffness of the circular NPR structure was larger. Meanwhile, by changing the geometric size, the negative Poisson's ratio of the circular NPR structure can be regulated.

Multi-material 3D double-V metastructures with tailorable Poisson's ratio and thermal expansion

Natural materials have achieved excellent comprehensive mechanical properties and fascinating synergistic functionalities through composite architectures and optimum materials distribution within a single tissue during natural selection/adaptation. Producing three-dimensional (3D) architectures with multi-materials has been a major challenge in artificial materials. Herein, 3D double-V hierarchical (DVH) lattices with multi-materials were designed and fabricated using interlocking assembly strategy. Theoretical analysis, numerical simulation and experimental verification were conducted to investigate the mechanical response of the multi-material metastructures, especially effective Poisson's ratio and coefficient of thermal expansion (CTE). The results revealed that the equivalent Poisson's ratio of the 3D DVH lattices can be tuned by changing not only the geometric parameters but also the relative stiffness of the two V segments. Poisson's ratio of the multi-material metamaterials has the minimum/maximum value at transition point and tends to zero with the increase or decrease of the relative stiffness. The equivalent CTE of concave 3D DVH lattices can be tuned by changing not only the geometric parameters but also the relative CTE and relative stiffness of the two V segments from magnified positive to near zero or large negative. Coupled negative Poisson's ratio and CTE, which are hardly found in natural materials, are easily achieved by the architected DVH composite lattices. This work provides an innovative approach for the design, fabrication and characterization of 3D architected cellular materials with simultaneously tailorable auxetic behavior and thermal expansion, which are promising in advanced engineering applications.

The calculation of in-plane equivalent elastic parameters of a grid beetle elytra plate core

To study the mechanical properties of beetle elytra plates (BEPs) with numerical and theoretical methods, this paper selects the basic unit according to the periodicity of the core layer of grid beetle elytra plates (GBEPs) and establishes an equivalent model of the GBEP core layer. The equivalent Young's modulus and equivalent Poisson's ratio of the unit are obtained on the basis of structural mechanics and the energy method. Compared with the results of finite element method (FEM) simulation, the calculation results of this equivalent model are sufficiently accurate when λ1 (the ratio of the cylinder radius to the wall thickness of a core unit) is within a certain range. Compared with the case of the grid plate (GP) core unit of the same size, the elastic parameters of the GBEP core unit show no superiority when buckling is not considered. The in-plane equivalent Young's modulus of the GBEP core unit can reach 7 times that of the honeycomb core element of a similar size, and the larger λ1 is, the higher the GBEP core unit performance. In this paper, an equivalent model of GBEPs is established and compared with GPs and honeycomb plates (HPs) in FEM and theoretical analysis, laying a foundation for the application of the equivalent model in FEM analysis.

Bending analysis of functionally graded graphene oxide powder-reinforced composite beams using a meshfree method

In this paper, the linear bending response of straight, thin to moderately thick functionally graded (FG) composite beams reinforced with graphene oxide powder (GOP) and subjected to two types of static mechanical loads, with various boundary conditions is investigated using a meshfree collocation method based on multiquadric radial basis functions. The weight fractions of the GOP are considered to vary continuously through the thickness direction of the composite beams. To determine the effective Young's modulus of the FG-GOP reinforced composite beams, a modified Halpin–Tsai model is used, whereas the rule of mixture is adopted to estimate the equivalent Poisson's ratio. The first-order shear deformation (FSDT) beam theory is adopted to model the functionally graded graphene oxide powder (FG-GOP) reinforced composite beams. The static equilibrium equations and associated boundary conditions of the FG-GOP reinforced composite beams are obtained by using the principle of minimum potential energy. The governing equations are rewritten in a matrix-vector strong form and discretized using the multiquadric radial basis functions. Various comparisons studies are performed to demonstrate the robustness and accuracy of the proposed numerical model. Parametric studies are conducted to examine the effects of length-to-thickness ratio, GOP distribution patterns, weight fraction, and size of GOP, types of loads, and boundary conditions on the bending behavior of the FG-GOP reinforced composite beams.

Longitudinal wave analysis of infinite length piezoelectric circular rod based on temperature effect

Piezoelectric elements have been commonly used because of their wide applications in sensors, transducers, and some micro intelligent structures. However, in the fields of aviation, aerospace, and automation, some relevant equipment works in a harsh environment and is susceptible to the temperature change, thereby leading its performances to be greatly affected. Therefore, the problem of nonlinear wave relating to piezoelectric circular rods in different temperature fields is studied by modeling and numerical analysis. Firstly, based on the theory of finite deformation, we take infinite piezoelectric circular rod as a research object and consider the effects of transverse inertia and equivalent Poisson's ratio under the thermoelectric coupling action. Using the Hamilton principle and introducing the Euler equation, the longitudinal wave equation of piezoelectric circular rod is obtained. Secondly, Jacobi elliptic cosine function and Jacobi elliptic sine function expansion method are used to solve the wave equation of the piezoelectric circular rod, and the solitary wave solution and the exact periodic solution of the wave equation are obtained. It is found that the periodic solution can be reduced into a solitary wave solution under certain conditions, and it is proved theoretically that there may be solitary wave stably propagating in a piezoelectric circular rod. Finally, the dispersion curves of different wave velocity ratios and the curves about influences of temperature field on the waveform, amplitude and wave number of the piezoelectric rod are obtained by Matlab. The numerical results show that the wave velocity decreases with the increase of temperature when the wave velocity ratio is constant. Given the temperature is constant, it can be found that with the increase of the ratio, the amplitude of solitary wave gradually increases while the wavelength gradually decreases. In addition, the images obtained show that although temperature change can cause the characteristics of solitary waves to change, the solitary waves are always symmetrical bell shaped waves in the propagation process, reflecting the stability characteristics under the combined action of nonlinear and dispersion effects. Therefore, the variation of temperature field can influence and control some propagation characteristics of solitary waves. Moreover, the wave theory has been widely used in the nondestructive testing of structures and the improving of information transmission quality due to its special stability.

Nonlinear constitutive relations of thin-walled honeycomb structure

An analytical model is developed to investigate the in-plane mechanical properties of a thin-walled honeycomb structure. Nonlinear constitutive relations of honeycombs are presented based on in-plane large deformation analysis of a beam; elastic and plastic behaviors are both considered. These relations reflect the dependence of the equivalent stress, equivalent Young's modulus, and equivalent Poisson's ratio on deformation. Numerical simulation results indicate the effectiveness of the proposed method. Paramatric study is then conducted to investigate the effects of structural and material parameters on the honeycomb structure which is valuable for honeycomb structure design.

Design and analysis of 2D double-U auxetic honeycombs

Abstract In this study, two dimensional double-U auxetic honeycombs (2D DUHs) composed of curved shell members have been proposed based on traditional double-V (concave quadrilateral or re-entrant double-arrowhead) auxetic honeycombs (2D DVHs). Theoretical analysis, numerical simulation and compression experiments are adopted to characterize the mechanical properties including equivalent Young's modulus, equivalent Poisson's ratio, and quasi-static collapse process of 2D DVHs and DUHs. Specimens of the 2D DUHs and DVHs made of Aluminum alloy (A6061) are fabricated through wire cut electrical discharge machining. Both numerical and experimental results illustrate that concave DUHs exhibit tunable negative Poisson's ratio and equivalent stiffness level compared to DVHs. Furthermore, DUHs have smooth geometry configurations that can reduce stress concentration at elastic region and exhibit stronger auxetic behavior during large deformation. Those mechanical properties of 2D DUHs satisfy the requirements for practical engineering applications such as energy absorption. The dynamic crushing responses of 2D DVHs and DUHs are also investigated, and it is found that the crushing collapse modes and plateau stress improvement of 2D DUHs are related to the crushing velocity. Finally, the local impact responses of 2D DVHs and DUHs are studied numerically, the influences of impact velocity and indenter size are considered. This study provides useful instructions for the design, fabrication and analysis of auxetic structures, which has a broad prospect in some advanced technical applications.

Design and characterization of axisymmetric auxetic metamaterials

Traditional three dimensional (3D) block auxetics exhibit anisotropic cross-section changes even they exist in isotropic forms due to finite size and boundary effect. Herein, a systematic design strategy of axisymmetric auxetic metamaterials is proposed with rotationally symmetric transverse deformation mode. The axisymmetric auxetics are obtained by the revolution of two-dimensional curved auxetic configurations along the axis of rotation and composed with shell elements. Finite element simulations and mechanical experiments reveal that the axisymmetric deformation mechanism cause transversely isotropic negative Poisson's ratio and enhance the specific Young's modulus compared to corresponding 2D and 3D cellular structures. The influence of geometric parameters on elastic constants is investigated numerically. Three kinds of 3D printing technologies are adopted to fabricate the axisymmetric auxetics which shows the relative Young's modulus and equivalent Poisson's ratio are independent of constitute materials. This study systematically characterizes the mechanical responses of axisymmetric auxetic metamaterials and expounds the potential multifunctional applications, such as reusable energy absorption.

Magmatism versus serpentinization—crustal structure along the 13°N segment at the Mid-Atlantic Ridge

SUMMARY A region of oceanic core complexes (OCCs) exists at 13°N on the Mid-Atlantic Ridge that is regarded as a type site. This site includes two OCCs at 13°20′N and 13°30′N, thought to be in the active and dying stages of evolution, and two together called the Ashadze Complex (centred at 13°05′N) that are considered to be relict. Here we describe the results of S-wave seismic modelling along an ∼200-km-long 2-D transect traversing, south-to-north, through both the Mercurius and Marathon fracture zones, the southern outside corner of the 13°N segment, the OCCs, the ridge axis deviation in trend centred at 13°35′N, and the youngest oceanic crust of the eastern ridge flank to the north. Our inversion model, and the corresponding Vp/Vs ratio, show that the majority of the crust beneath the 13°30′N OCC comprises metamorphosed lithologies that have been exhumed to the shallowest subseabed level, while basaltic lithologies underlie the 13°20′N OCC. The transition between these contrasting crustal structures occurs over a distance of <5 km, and extends to at least ∼2 km depth below seafloor. The northern and southern OCCs of the Ashadze Complex have contrasting structures at shallow depth, with the northern OCC having a faster S-wave velocity in the upper crust. A Vp/Vs ratio of >1.9 (and equivalent Poisson's ratio of >0.3) indicates exhumed and/or metamorphosed lithologies beneath the bathymetric depression between them and within the crust beneath the southern OCC. Between the northern and southern flanks of the Marathon fracture zone and northern flank of Mercurius fracture zone, the lower crust has a relatively low Vp/Vs ratio suggesting that the deformation associated with Marathon fracture zone, which facilitates fluid ingress, extends laterally within the lower crust. Marathon fracture zone itself is underlain by a broad zone of low S-wave velocity (∼2.0 km s−1) up to ∼20 km wide from the seabed to at least the mid-crust, that is mirrored in a high Vp/Vs ratio and lower density, particularly deeper than ∼1 km below seabed within its bathymetric footprint. Volcanic domains are highlighted by a low Vp/Vs ratio of <1.6 (and equivalent Poisson's ratio of <0.15). Our combined seismic and density models favour the localized model of OCC evolution. They also show a considerable ridge-parallel variability in the amount and distribution of magmatic versus metamorphosed crust. Our results suggest that the current focus of magmatism lies to the north of the 13°20′N OCC, where the magmatic accretion-type seabed morphology observed is mirrored in the pattern of microseismicity, suggesting that its inward-facing median-valley-wall fault may link to the 13°20′N OCC detachment surface. Magmatism and active faulting behind (to the west) the footwall breakaway of the 13°30′N OCC, and the microseismicity concentrated in a band along its southern flank, suggest a readjustment of ridge geometry along axis is underway. As part of this, a transform offset is forming that will ultimately accommodate the 13°30′N OCC in its inside corner on the eastern flank of the ridge axis to the north.

The equivalent modeling of hard-coating blisk based on mistuning identification

In order to accurately capture the dynamic characteristics of the actual hard-coating blisk and reduce the computation cost, an equivalent finite element modeling method based on mistuning identification was proposed in this study. In this modeling method, virtual single-layer material blades were used to replace the hard-coating blades of multi-layer structure. Meanwhile, based on the mistuning identification theory, the equivalent elastic modulus, as the key parameter, was determined. In addition, the methods to generate the other two equivalent parameters (equivalent density and equivalent Poisson's ratio) were also proposed. Moreover, through the numerical and actual cases, the equivalent models were created by the proposed method respectively and the modal data of the equivalent models was compared and analyzed. Compared with the traditional finite element model (FEM), the structure of the equivalent model is simpler and the number of elements is smaller, however, for the modal data, the comparison results showed good correspondence of the equivalent model and the actual hard-coating blisk.

Mechanical properties investigation on single-wall ZrO2 nanotubes: A finite element method with equivalent Poisson's ratio for chemical bonds

A method to obtain the equivalent Poisson's ratio in chemical bonds as classical beams with finite element method was proposed from experimental data. The UFF (Universal Force Field) method was employed to calculate the elastic force constants of ZrO bonds. By applying the equivalent Poisson's ratio, the mechanical properties of single-wall ZrNTs (ZrO2 nanotubes) were investigated by finite element analysis. The nanotubes' Young's modulus (Y), Poisson's ratio (ν) of ZrNTs as function of diameters, length and chirality have been discussed, respectively. We found that the Young's modulus of single-wall ZrNTs is calculated to be between 350 and 420 GPa.