Showing papers in "International Journal of Engineering Science in 1987"

TL;DR: In this paper, the authors derive from the equations of the nonlinear thermoelasticity a certain class of homogenized models of periodic composite materials, based on the methods of nonstandard analysis.

TL;DR: In this paper, explicit constitutive equations are given for the prediction of the overall behavior of unidirectional fiber-reinforced composites whose constituents are elastoplastic materials.

TL;DR: In this article, it was shown that Smith's basis for vector-valued, second order skew-symmetric tensor-valued and second order symmetric tensors is irreducible, once the redundant elements found by J.P. Boehler are eliminated.

TL;DR: In this paper, the integral balance laws of continuous systems with an interface are obtained as a limit of balance law relative to suitable three-dimensional continuum, and a physical interpretation of the quantities appearing in the balance laws and dodges around the not invariance under Galilean transformations of angular momentum balance.

TL;DR: In this article, a methode numerique is used to calculate the tenseurs d'interactions entre inclusions anisotropes dans un milieu anisotrope ainsi que la solution analytique dans Ie cas de deux inclusions spheriques situees din a matrice isotrope sollicitee en cisaillement.

TL;DR: In this paper, the authors considered Rayleigh waves propagating at the plane material boundary of an elastic half-space containing a distribution of voids (vacuous pores) and found that the dispersion is caused by both surface stresses exerted by the boundary and the voids inside.

TL;DR: In this paper, some surface constitutive equations when added to the balance laws and jump conditions allow us to formulate in principle a boundary value problem for phase transitions modelled as a continuum with an interface.

TL;DR: In this paper, the problems of modeling multilayered periodic composites have been dealt with and the proposed models take into account certain micromorphic effects resulting from the periodic structure of the body.

TL;DR: In this paper, numerical experience on the use of variational inequalities and cubic splines collocation technique to obtain approximate solution to a class of unilateral boundary value problems of elasticity, like those describing the equilbrium configuration of an elastic string stretched over an elastic obstacle.

TL;DR: In this paper, the boundary conditions for radial diffusion of a fluid through a hollow non-linear cylinder and the diffusion through a sheared nonlinear elastic layer are studied in detail, and it is found that shearing and stretching have qualitatively different effects on the diffusion process.

TL;DR: In this paper, the Lagrange identity method with the weight function method was used to obtain the uniqueness and continuous dependence theorems in bounded and exterior domains in linear thermoelasticity.

TL;DR: Adaptive finite element procedures are presented for the analysis of broad classes of two-dimensional problems in viscoplasticity which involve internal state variables and several a posteriori error estimates are developed.

TL;DR: In this paper, specific unified constitutive equations for an elastic-viscoplastic material are developed which in the limit of infinite resistance to plastic flow become those of a general hyperelastic isotropic material; and in the case of zero resistance to the plastic flow, the Reiner-Rivlin fluid becomes a general Reiner Rivlin fluid.

TL;DR: In this paper, the effect of stenosis on vascular deformability and the flow of blood in an artery through the use of a suitable mathematical model was examined based on an analytical study to examine the effect.

TL;DR: In this article, a unified approximate solution is formulated on the basis of the dynamic Marguerre-type equations for the titled problem, where the rotational stiffness variation is assumed to be identical along opposite edges.

TL;DR: An exact solution of the Navier-Stokes equations for the flow due to non-coaxial rotations of a porous disk, executing non-torsional oscillations in its own plane, and a fluid at infinity was obtained in this paper.

TL;DR: In this paper, the authors derived coupled evolution equations of charge carriers, momentum, energy and heat flux and charge carrier flux in deformable, extrinsic semiconductor in the framework of extended irreversible thermodynamics.

TL;DR: In this article, the propagation of bending waves in an infinite periodic beam is analyzed and the dispersion relation is obtained by using the theory of Floquet and is shown to define a Frequency-Wave Number curve.

TL;DR: In this article, a modified Riemann problem in which the initial and boundary conditions are constants is considered for plane waves in a half space occupied by an elastic solid, and wave curves for simple waves and shock waves are used to construct the solution.

TL;DR: In this article, the effects of rotation of the body on the phase speed, energy loss and decay coefficient are analyzed in some detail for small and large frequency dilatational waves influenced by the presence of voids.

TL;DR: In this article, the problem of steady-state penetration by a semi-infinite, rigid cylindrical penetrator with an ellipsoidal nose into an infinite, rigid-viscoplastic target has been studied.

TL;DR: In this paper, the existence of infinite sets of exact solutions for the flow in the geometry of an orthogonal rheometer in which the above non-torsional oscillations are superposed on the disks, is established.

TL;DR: In this paper, a nonlinear, rotationally invariant and thennodynamically admissible, continuum theory of deformable semiconductors is presented on the basis of general principles of continuum physics including the effects of singular surfaces and energy-carrying interfaces and a systematic use of virtual power for finite velocity fields.

TL;DR: In this article, the stability of plane Poiseuille flow of two immiscible liquids of different viscosities and equal densities was studied and a linear stability analysis of centrally located configuration to long waves was carried out by the analytic methods introduced by Yih.

TL;DR: In this article, the axisymmetric translation of a rigid disc-shaped inclusion which is embedded in bonded contact in an isotropic elastic solid is examined, where the plane containing the inclusion is weakened by an external circular crack.

TL;DR: In this article, a linearized anisotropic micropolar thermoelasticity theory that predicts a finite speed for thermal signals is presented. And a reciprocal principle of Betti-Rayleigh type is obtained in the context of the linearized linearized Biot-and Hamilton-types.

TL;DR: Bifurcation from a symmetrically to an unsymmetrically deformed homogeneous configuration of a plane incompressible isotropic elastic membrane subject to equal in-plane tensions is examined in this paper.

TL;DR: In this article, the transient response of two interface cracks, in a layered half space subjected to antiplane stress fields, is analytically studied, and the problem is formulated in terms of a coupled set of integral equations, which are then solved by expanding the unknown crack opening displacements in a complete set of Chebyshev's polynomials.

TL;DR: In this article, the axisymmetric deformation with torsion of an initially cylindrical membrane of Mooney-Rivlin material and reinforced by one family of perfectly flexible and inextensible helicoidal cords is considered.