an analytical solution is presented for displacements and stresses of a three dimensional linear hyperelastic transversely isotropic layer bonded on the top of a transversely isotropic half-space subjected to an arbitrary, time-harmonic surface tangential force. the equations of equilibrium in terms of displacements are uncoupled by using a set of two potential functions introduced by eskandari...

by virtue of a complete set of two displacement potentials, an analytical derivation of the elastostatic green’s functions of an exponentially graded transversely isotropic bi-material full-space was presented. three-dimensional point-load green’s functions for stresses and displacements were given in line-integral representations. the formulation included a complete set of transformed stress-p...

In this paper we present a spline-based hyperelastic model for incompressible transversely isotropic solids. The formulation is based on the Sussman-Bathe model for isotropic hyperelastic materials. We extend this model to transversely isotropic materials following a similar procedure. Our formulation is able to exactly represent the prescribed behavior for isotropic hyperelastic solids, recove...

the problem of propagation of plane wave including body and surface waves propagating in a transversely isotropic half-space with a depth-wise axis of material symmetry is investigated in details. using the advantage of representation of displacement fields in terms of two complete scalar potential functions, the coupled equations of motion are uncoupled and reduced to two independent equations...

The problem of propagation of plane wave including body and surface waves propagating in a transversely isotropic half-space with a depth-wise axis of material symmetry is investigated in details. Using the advantage of representation of displacement fields in terms of two complete scalar potential functions, the coupled equations of motion are uncoupled and reduced to two independent equations...

Numerical investigation of indentation tests on a transversely isotropic elastic material by powerlaw shaped axisymmetric indenters Congrui Jin To cite this article: Congrui Jin (2016) Numerical investigation of indentation tests on a transversely isotropic elastic material by power-law shaped axisymmetric indenters, Journal of Adhesion Science and Technology, 30:11, 1223-1242, DOI: 10.1080/016...

Based upon the fundamental solution to a single straight dislocation segment, a complete set of exact closed-form solutions is presented in a unified manner for elastic displacements and strains due to general polygonal dislocations in a transversely isotropic half-space. These solutions are systematically composed of two parts: one representing the solution in an infinite transversely isotropi...

the dynamic response of a transversely isotropic, linearly elastic layer bonded to the surface of a half-space of a different transversely isotropic material under arbitrary shape surface loads is considered. with the help of displacements and stresses green’s functions, an analytical formulation is presented for the determination of the displacements and stresses at any point in both surface l...