In cylindrical continua, hoop stresses are induced due to the circumferential failure. This mainly happens when the cylinder is subjected to mechanical loads which vary in the circumferential directions. On the other hand, radial stress is stress in the direction of or opposite to the central axis of a cylindrical body. In the present study, the influence of curvilinear anisotropy on the radial...

Reaction-diffusion computational models of cardiac electrophysiology require both dynamic excitation models that reconstruct the action potentials of myocytes as well as datasets of cardiac geometry and architecture that provide the electrical diffusion tensor D, which determines how excitation spreads through the tissue. We illustrate an experimental pipeline we have developed in our laborator...

This work deals with the modeling of plate structures constituted Functionally Graded Material through a variable separation approach. The displacement field is approximated as sum separated functions in-plane coordinates x, y and transverse coordinate z. choice yields to nonlinear problem that can be solved by an iterative process. Two 2D 1D linear problems are successively. In thickness direc...

a new approach is proposed to model a crack in orthotropic composite media using the extended finite element method (xfem). the xfem uses the concept of partition of unity in addition to meshless basic idea of approximating a field variable by its values at a set of surrounding nodes. as a result, higher order approximations can be designed with the same total number of degrees of freedom. in t...

A mathematical model of the dynamic instability a three-layer conical shells with honeycomb structure made using additive technologies has been obtained. Dynamic is recognized as interaction shell supersonic gas flow. The middle layer that homogenized into an orthotropic homogeneous medium. top and bottom layers are carbon fiber. vibrations described by fifteen unknowns. Each five unknowns: thr...

The conditions that strain energy tensor and necessary condition on the roots of a constitutive equation must be positive definite produces some inequalities. These inequalities reduce the number of Rayleigh waves in orthotropic and transversely isotropic materials. Some earlier published work is found to be erroneous.

The influence of magnetic field on the propagation of Rayleigh waves in an inhomogeneous, orthotropic elastic solid medium has been discussed. The method of separation of variable is used to find the frequency equation of the surface waves. The obtained dispersion equations are in agreement with the classical results when magnetic field and non-homogeneity are neglected

A closed-form solution is obtained for the interfacial edge crack between two bonded dissimilar orthotropic strips loaded by antiplane point loading in form of screw dislocation or line force. Conformal mapping and existing dislocation solutions are utilized for constructing the fundamental solution of the problem. The stress intensity factor (SIF) and the energy release rate (ERR) are obtained...

The in-plane orthotropic elastic constants of machine-made paper and paperboard were determined in a compact testing machine equipped with an optical extensometer and using a high-speed digital image sensor. Commercial copy paper, sack paper and paperboard were tested in a standard atmosphere of 23