Introduction to Isotropic Elastic

In this paper, a calculation method of equivalent belt material parameters for the simplified FE tire model is proposed based on the three-dimensional (3-D) anisotropic elasticity of the cord reinforced composites.

A rate-independent model for isotropic elastic–orthotropic plastic material behaviour including the plastic spin is presented in this paper.

Conclusions: The cornea is confirmed to be a strongly anisotropic elastic material that cannot be characterized with a single elastic modulus.

These inclinations were readily explained by the isotropic elastic theory of an individual TD.

To verify the reliability of the suggested approach, the anisotropic elastic properties of 51 clayey soil specimens from 21 different soil types relating to 15 various sites in 4 countries were collected based on the experimental laboratory tests reported in literature.

In this work, the main-group (sp) element dependences of anisotropic elastic moduli, including elastic constants Cij, Young's moduli En, shear moduli Gm, n, Poisson's ratioνm, n and Zener anisotropy index Az, and their correlated electronic origins in the Ni2MnZ (Z = Al, Ga, In, Si, Ge, and Sn) alloys were studied by first-principles calculations.

We consider multi-scale energetics, employing Molecular Statics simulations and anisotropic elasticity formalisms, to establish a Terrace-Disconnection (TD) topology as the energy-minimal nanostructure.

The accurate information of the thermal stresses and temperature in isotropic elastic solids is the key for many engineering applications.

It is shown that light earth performance can be satisfactorily predicted, whatever the wall configuration using the Transfer Matrix Method computation with isotropic elastic and porous layers.

These processes then enable us to not only derive the general relationship of indentation depth D and total load P that acts on the punch but also explicitly obtain the general analytical expressions of the stress fields beneath the surface of an isotropic elastic half-space.

It was further shown that the raster angle–dependent strength and fracture properties of 3D-printed ABS can be predicted with an acceptable accuracy by a relatively simple FE model considering the anisotropic elasticity and failure properties of FFF specimens.

By the dislocation interaction model based on the anisotropic elasticity theory, the improved Peierls-Nabarro (P–N) model for nonplanar dislocation core structures is obtained from the variational principle.

A variation model of the gradient anisotropic elasticity theory is constructed.

Our simulations reveal that a stronger chiral effect results in a greater anisotropic elastic behavior in α-antimonene than in β-antimonene.

Fourier integral transformation is applied to convert the boundary value problem for a homogeneous, isotropic elastic material to the Fredholm integral equation of second kind.

In addition, we provide a few simple simulations of this model in the case of isotropic elastic materials in 2D.

Using first-principles calculations, we predict highly stable cubic bialkali bismuthides Cs(Na, K)2Bi with several technologically important mechanical and anisotropic elastic properties.

By feeding the isotropic elasticity characteristics of the phosphosilicate glass to the model, such as Young's modulus, density, and maximum compressive stress of the produced glass samples to fit the aim of their clinical use.

The waveguide consists of anisotropic elastic crystal layer of cubic system m3m class enclosed between crystal halfspaces of same anisotropy class.

Also, TPMS structures could exhibit both isotropic and anisotropic elastic properties, in which Primitive and Neovius were among the most anisotropic structures.

We have determined how highly accurate reverse time migrated images and FWI model parameter gradients for anisotropic elastic FWI can be efficiently computed without significant disk I/O using two wavefield propagations by means of the principle of superposition.

The wave propagation database was constructed using FEA considering the grain orientation distribution and the anisotropic elastic constants in the welds.

The purpose of the proposed work is to assess the differences in stress-strain state characteristics (especially residual mesostresses) at isothermal loads of the representative volume of polycrystals due to considering the anisotropy of elastic properties of its crystallites with HCP and tetragonal lattices (as compared to the data obtained for material with isotropic elastic properties obtained using different averaging procedures – Voigt, Reuss and Hill).

The stability, anisotropic elastic behavior and electronic properties of trigonal In2Si2Te6, InSiTe3, In2Ge2Te6, and InGeTe3 compounds have been studied by first-principles calculations.

However, the anisotropic elasticity and the application-driven slenderness make these profiles prone to local buckling failure, well below their ultimate load capacity.

This paper aims to simulate the isotropic elastic damage theory of Liu Jun (2012) using the self-programmed UMAT subroutine in the interface of ABAQUS.

This paper concerns a time-domain scattering problem of elastic plane wave by a rigid obstacle, which is immersed in an open space filled with homogeneous and isotropic elastic medium in two dimensions.

We have developed a vector elastic deconvolution migration method for high-resolution imaging of subsurface structures in isotropic and anisotropic elastic media.

It is demonstrated that this method allows for the determination of the isotropic elastic constants from the measured surface acoustic phonon frequencies.

The study analyzes the elastic properties of chiral metallic nanotubes formed by rolling up thin crystal plates with the [011] and [111] orientations within two frameworks of anisotropic elasticity and molecular statics.

The anisotropic elastic energy by shape change of martensite changes depending upon variants in neighbour austenite grains, whereas it does not in immediate parent grains in which martensite grows.

We report a study of thermally induced depolarisation of a laser beam in single cubic syngony crystals of 23 and m3 symmetry groups with an anisotropic elastic stiffness tensor.

Surface acoustic waves are propagated toward the edge of an anisotropic elastic medium (a silicon crystal), which supports leaky waves with a high degree of localization at the tip of the edge.

Our stack model provides clear insights into the key role of the flexural modes in the TBC and how the anisotropic elastic properties of h-BN affect heat dissipation.

The dependence of microseismic source images on these parameters provides essential insights into anisotropic model accuracy, and it suggests that misfocused energy on extended image gathers may be used as a criterion for updating earth models through anisotropic elastic image-domain inversion.

Although SBP methods have been applied to elastic wave equations many times, an SBP-SAT method for general anisotropic elastic wave equations has not yet been presented in the literature.

Besides an anisotropic elastic response that appears in the nonlinear regime and at non-zero pressure, the compounds contract when the temperature increases.

The inverse problem of finding the slowness vector from a known ray direction in general anisotropic elastic media is a challenging task, needed in many wave/ray-based methods, in particular, solving two-point ray bending problems.

The Lame system is a classical model for isotropic elasticity and has important applications in seismology.

(The concept of representative crack elements (RCE) for phase-field fracture: anisotropic elasticity and thermo-elasticity.

The discussion of anisotropic elasticity showed that both o-AlCu3 and h-AlCu3 are anisotropic, and the order of anisotropy is: o-AlCu3 > h-AlCu3.

In this paper, the wave based method (WBM) is extended to solve two-dimensional anisotropic elastic wave problems.

MSM simulations also show that α and χ-BNTs both have anisotropic elastic properties.

The estimates provided by the present homogenization model are compared to full-field calculations from the literature for two-phase non linear particulate composites constituted of an isotropic elasto-viscoplastic matrix phase and isotropic elastic particles, and, for radial and non-radial loadings.

In accordance with the theory, reinforcement is modeled by a vanishing thickness prestressed membrane embedded in an isotropic elastic matrix material.

They exhibit anisotropic elasticity and internal damping.

Firstly, crack propagation is predicted in single crystal specimens with anisotropic fracture energy but isotropic elastic constants to investigate the impact of the anisotropy strength parameter and the crystal orientation.

A new chain stress corrosion mechanism from anisotropic elastic (001) tensile deformation, microcrack generation, nonpolar surface reconstruction, HF attack to metal dissolution is proposed to paint the full picture of the structural degradation of NLOs.