Introduction to Transversely Isotropic

The object of the Field Boundary Element Method is the transversely isotropic plane plate.

This paper studies the stress intensity factors of square cracks horizontally placed in one-layered transversely isotropic halfspaces using the dual boundary element method (DBEM).

In this paper, we investigate the response of multilayered transversely isotropic poroelastic media under vertical rectangular moving loads by utilizing the extended precise integration method (PIM).

To investigate this problem, a time-dependent analysis method for the interaction between retaining piles and stratified saturated soils with transversely isotropic property due to pre-excavation dewatering (PED) is established by the coupling of the extended precise integration method (PIM) and the finite element method (FEM).

Then, using the finite element method (FEM), PD due to the ARFI excitation PSFs in 42 elastic, incompressible, transversely isotropic (TI) materials with shear moduli ratios of 1.

The formula for the model I fracture toughness of the transversely isotropic material is obtained on the basis of the finite element method (FEM) together with the J-integral.

The initially stressed composite structure is comprised of a transversely isotropic fluid saturated porous layer over a foundation with dry sandy elastic stratum and functionally graded substrate (semi-infinite medium) in which the bonding between the interfaces of the layers and semi-infinite medium are considered to be imperfect.

The assumed model consists of tri-mediums resting over a viscoelastic semi-infinite medium and the considered tri-mediums are transversely isotropic, porous, and heterogeneous respectively under the impression of initial stress.

Considering the large offset coverage of modern seismic acquisitions, we propose new approximations designed to be accurate at zero and infinitely large offsets over layered transversely isotropic media with vertical symmetry axis (VTI).

This paper presents an analytical solution to the mixed boundary value problem for a dynamic rigid rectangular plate on the surface of a layered transversely isotropic half-space.

We validate the method by comparing the numerical results with the exact solutions for a homogeneous transversely isotropic model and a two-layered model.

This method reduces the problem of a layered material with isotropic layers to the problem of a homogeneous transversely isotropic medium.

To solve these problems, we have formulated the factored topography-dependent anisotropic eikonal (FTDAE) equation in tilted transversely isotropic (TTI) media using the factorization principle.

For our numerical tests, we specify the operators for a mildly anisotropic tilted transversely isotropic (TTI) medium.

The present research deals with the mathematical model for study of the disturbance due to mechanical (horizontal or vertical) and thermal source in two dimensional transversely isotropic magneto thermoelastic solid under initial stress due to time-harmonic source with generalized Lord–Shulman (LS) theory of thermoelasticity with two temperatures.

<p>We present a three-dimensional transversely isotropic velocity model of the crust and upper mantle beneath the East Asia Continent and Western Pacific subduction zone based on the full waveform inversion (FWI).

Herein, qP-wave propagation is simulated in vertical transversely isotropic (VTI) media using the one-way wave equation in the ray-centred coordinate system (15°), which combines the flexibility of ray theory and accuracy of wave theory to describe wave propagation.

We apply this methodology to develop an efficient 3-D FSM to compute the first-arrival traveltimes for qP waves in 3-D vertical transversely isotropic (VTI) media.

The present paper proposes a new Strain Energy Function (SEF) for incompressible transversely isotropic hyperelastic materials, i.

Recently, we introduced a nearly incompressible transversely isotropic (NITI) model based on two independent shear moduli determining tensile and out-of-plane shear behavior.

The composites are assumed to be constituted by a non-aging, isotropic viscoelastic matrix reinforced by square or hexagonal arrangements of elastic transversely isotropic long and short fibers, the latter being cylindrical inclusions.

The analysis of the results demonstrated that the purely elastic transversely isotropic material model is adequate for predicting behavior, at least before nonlinearities occur.

We develop a generalized reflection and transmission coefficient method (GRTM) for generating six-component (6-C) synthetic seismograms in horizontally layered vertically transversely isotropic (VTI) media.

To solve the eikonal equation in vertically transversely isotropic (VTI) or tilted transversely isotropic (TTI) models with irregular geometry, we have formulated a new iterative fast sweeping method (FSM) on unstructured triangular meshes.

An efficient theoretical solution is proposed to investigate the time history response of an elastic circular thin plate bonded on multilayered transversely isotropic soils.

The foundation is modeled as a rigid disk, with either permeable or impermeable and smooth contact surface, whereas a multilayered transversely isotropic poroelastic half-space is defined for the supporting soil.

Electroelastic piezoelectric transversely isotropic half-plane with a homogeneous or a functionally graded coating is considered.

The inhomogeneities and matrix materials exhibit piezoelectric transversely isotropic symmetry.

In this work, linearized elastic isotropic continuum-kinematics-inspired-peridynamics (CPD) is further generalized to study the elastic, damage, and fracture behavior of anisotropic continua, focusing on 3D transversely isotropic and 2D orthotropic body.

By minimising the difference between PDO and the new approximation, we compute optimal coefficients based on a least-squares method, and then derive the new time–space domain PAWEs in both 3D transversely isotropic and orthorhombic anisotropic media.

An exact approach is used to investigate the propagation of a Love-type wave in a low-velocity piezoelectric-viscoelastic material (PV) stratum bonded to a functionally graded transversely isotropic viscoelastic (FGTIV) material substrate.

The crux of the present study is to analyze the dispersion characteristics of the Love-type wave in a micropolar elastic stratum overlying a functionally graded transversely isotropic substrate.

The present analysis confers the propagation characteristics of horizontally polarized​ shear (SH) wave through a heterogeneous transversely isotropic fluid-saturated poroelastic sandwiched layer of finite width embedded between two heterogeneous isotropic elastic half-spaces due to the impact of an impulsive line source.

Introduction: In this paper, a mathematical model of Love-type wave propagation in a heterogeneous transversely isotropic elastic layer subjected to initial stress and rotation of the resting on a rigid foundation.

Considering the large offset coverage of modern seismic acquisitions, we propose new approximations designed to be accurate at zero and infinitely large offsets over layered transversely isotropic media with vertical symmetry axis (VTI).

Compared with isotropic media, at least two extra parameters are involved in common P-wave seismic data processing and interpretation for transversely isotropic media.

It indicates that the MAE behaves as a transversely isotropic material in the presence of an external magnetic field.

Exact solution of axisymmetric wave propagation problem in radially and functionally graded circular cylinder made from combination of isotropic and transversely isotropic materials is obtained.

The failure and mechanical behavior of transversely isotropic rock are significantly affected by the original bedding planes.

Transversely isotropic rock is a typical anisotropic rock type.

In this paper, the consistent second-order plate theory is developed for transversely isotropic plates.

In this paper, three high-order shear deformation theories are presented to investigate in-plane dominated vibrations for circular transversely isotropic plates.

The use of isotropic and transversely isotropic elastic theories was explored, as well as the implementation of stress relaxation in the plastic regime of the material.

A method proposed earlier, relying on the use of harmonic Cartesian polynomial and rational functions, is extended here to find a semi-analytical solution to the uncoupled, two-dimensional problem of thermo-magnetoelasticity for a system of long parallel, non-intersecting, transversely isotropic elastic cylindrical electrical conductors.

We validate the method by comparing the numerical results with the exact solutions for a homogeneous transversely isotropic model and a two-layered model.

The proposed transversely isotropic model accounts for viscoelastic effects in the principal direction of the fibre coupled with the continuum damage mechanics approach.

This paper presents an analytical solution to the mixed boundary value problem for a dynamic rigid rectangular plate on the surface of a layered transversely isotropic half-space.

A technique is proposed for solving a 3D problem of elasticity theory for a transversely isotropic half-space.

In this paper, differential evolution algorithm (DEA) has been utilized to quantitatively analyze the piezoelectric properties of transversely isotropic piezoelectric mediums via PFM experiment.

In this paper, we study a penny-shaped crack model with electrically and thermally semi-permeable boundary conditions in a three-dimensional transversely isotropic piezoelectric semiconductor.

To further understand the non-linear, tension-compression asymmetric and transversely isotropic properties of the SSTPS, inner configurations were investigated by X-ray computed tomography and scanning electron microscopy.

This study investigated the transversely isotropic properties of water-bearing shale by performing laboratory experiments on shale specimens with different bedding angles of 0°, 45°, and 90° under different saturation conditions.

Aiming at the vibration isolation in transversely isotropic soil, a T-shaped partially embedded periodic barrier for surface waves is proposed, and its shielding performance is explored by using fi.

An efficient theoretical solution is proposed to investigate the time history response of an elastic circular thin plate bonded on multilayered transversely isotropic soils.

In this paper, the three-dimensional solutions of homogeneous transversely isotropic coated structure under spherical contact loadings are derived based on the three-dimensional general solutions of the transversely isotropic material.

In this paper, the 3D solutions of elastic transversely isotropic coated structure under conical contact are derived based on the general solutions of the elastic transversely isotropic material.

An exact approach is used to investigate the propagation of a Love-type wave in a low-velocity piezoelectric-viscoelastic material (PV) stratum bonded to a functionally graded transversely isotropic viscoelastic (FGTIV) material substrate.

This work aims to develop a wave propagation-based analytical solution that can be effectively used for calculating the mechanical responses of transversely isotropic viscoelastic multi-layered asphalt pavement subjected to moving harmonic load.

An implicit constitutive relation is proposed to study transversely isotropic bodies.

In this work, we studied the axisymmetric elastic equilibrium of transversely isotropic bodies of revolution, which are simultaneously under the influence of surface and volume forces.

In this study, a nanoscale beam of transversely isotropic thermoelastic (TIT) medium with two temperature and with Green–Naghdi (GN) III theory of thermoelasticity for free vibrations with simply supported boundaries have been examined.

Effective elastic and thermal properties for isotropic or transversely isotropic thermoelastic fibrous composite materials are obtained.

The paper deals with the finite bending analysis of transversely isotropic hyperelastic slender beams made of a neo-Hookean material with longitudinal voids.

The present paper proposes a new Strain Energy Function (SEF) for incompressible transversely isotropic hyperelastic materials, i.

We illustrate the implementation of the model by showing reasonable predictions on the transversely isotropic behaviour of the heterogeneous pavement.

They are used to identify the elastic constants of the fibres, assuming a transversely isotropic behaviour, by minimising a cost function between measured and estimated values.

The foundation is modeled as a rigid disk, with either permeable or impermeable and smooth contact surface, whereas a multilayered transversely isotropic poroelastic half-space is defined for the supporting soil.

In this paper, we investigate the response of multilayered transversely isotropic poroelastic media under vertical rectangular moving loads by utilizing the extended precise integration method (PIM).

The aim of this investigation is to examine the vibration phenomenon in 2D transversely isotropic homogeneous Euler–Bernoulli nanobeam with laser pulse with new modified three-phase lag Green Naghdi (TPL GN) model.

The study looks upon the process of the physically non-linear deformation of transversely isotropic homogeneous continuous solid bodies made from composites where the reinforcing elements are far more rigid than the binder.

A transformation matrix based on Rodrigues’ rotational formula for transversely isotropic Micropolar-Cosserat lamina has been introduced; which reduces it to the well-known non-classical (classical and couple-stress) elastic formulation.

The present study deals with the propagation of waves in a transversely isotropic micropolar generalized thermoelastic material possessing temperature dependent elastic properties.

When the spheroidal inclusions are aligned, the transversely isotropic symmetry is described by Hill’s 5 elastic moduli, which are obtained after solving a system of nonlinear algebraic equations.

The inhomogeneities and matrix materials exhibit piezoelectric transversely isotropic symmetry.

In this work, we present the mathematical formulation and the numerical implementation of a new model for initially straight, transversely isotropic rods.

We then present the most general quadratic form of the Helmholtz energy per unit undeformed length for both hemitropic and transversely isotropic rods.

Three types rocks including heterogeneous coal, homogeneous sandstone, and transversely isotropic shale, were selected as the impact target rock.

The stress concentrations in the wall of a horizontal well in transversely isotropic shale are quantified and the stable mud weight window is established using a modified Hoek-Brown failure criterion.

The measurement leads to a full elastic tensor of the transversely isotropic polycrystal during the stress-induced austenite  →  R-phase  →  B19 ′ martensite transformation.

Examples for orthotropic polycrystals of cubic materials and transversely isotropic polycrystals of hexagonal materials (showing the connection and applicability of the results also to fiber orientation distributions) are discussed.

According to the transversely isotropic characteristics of layered rock mass, the failure approach index (FAI) was selected to evaluate the damage and failure of thin shale.

A new creep model that connects a Maxwell body, a Kelvin body, and a nonlinear visco-plastic body was proposed to describe both the full creep process (including the transient, steady, and accelerated creep stages) and the transversely isotropic characteristics of phyllite.

Isotropic and transversely isotropic layers (i.

We have developed and tested an approximate formula for the reflection moveout of a wave converted at a horizontal reflector underlying a homogeneous transversely isotropic layer with the vertical axis of symmetry.

The present research deals with the mathematical model for study of the disturbance due to mechanical (horizontal or vertical) and thermal source in two dimensional transversely isotropic magneto thermoelastic solid under initial stress due to time-harmonic source with generalized Lord–Shulman (LS) theory of thermoelasticity with two temperatures.

This paper examines a mode I elliptic crack problem in transversely isotropic magneto-electro-elasticity.

We have demonstrated a laboratory method for estimating the crack status inside a cylindrical rock sample based on a vertically cracked transversely isotropic solid model by using measured P- and S-wave velocities and porosity derived from strain data.

We obtain objectivity of strain energy for initially stressed transversely isotropic solids to derive the invariants and study resulting symmetry.

The object of the Field Boundary Element Method is the transversely isotropic plane plate.

The case study of this Field Boundary Element Method is the transversely isotropic plane plate.

The article is devoted to solving the problem of cylindrical bending of a flat panel made of a transversely isotropic incompressible composite material with finite deformations.

Here we consider the torsion of a solid circular cylinder composed of a transversely isotropic incompressible fiber-reinforced hyperelastic material.

Comparison with existing study indicates that the proposed model has a good performance in simulating the typical pre and post strain localization behaviors of transversely isotropic geomaterials.

For the sedimentary genesis, this rock can be considered a transversely isotropic geomaterial, as also documented in the experimental literature.

Transversely isotropic fibers obey linear elastic rule while isotropic polymeric matrix follows both standard solid and Kelvin-Voigt viscoelastic models.

In particular, we consider the transversely isotropic fiber composites with phases characterized by the stiffening behavior stemming from the non-Gaussian statistics of polymer chains.

The objective of this study was to develop and validate a novel elastography reconstruction technique suitable for estimating the linear viscoelastic mechanical properties of transversely isotropic soft tissues.

The paper aims to investigate the finite bending of hyperelastic beams composed of transversely isotropic soft materials.

The model of an anisotropic interface in an elastic particulate composite with initial stress is developed as the first-order approximation of a transversely isotropic interphase between an isotropic matrix and spherical particles.

The rigorous analytical solution to the unit cell model of spherical particle composite with transversely isotropic interphase and incoherent material interface has been obtained by the multipole expansion method.