Showing papers in "International Journal of Engineering Science in 1971"

TL;DR: Representation formulae are derived for scalar-valued isotropic functions of an arbitrary number of symmetric tensors, skew-symmetric Tensors and vectors.

TL;DR: In this article, the authors derived the differential equations and boundary conditions describing the behavior of an electrically polarizable, finitely deformable, heat conducting continuum in interaction with the electric field.

TL;DR: The limitations of this theory and its relationship to the more general thermodynamical theory of Green and Naghdi has not been made clear as discussed by the authors, and the present paper is intended to provide the needed clarifications.

TL;DR: In this article, the nonlinear theory of micropolar elasticity through a function basis is presented, and the fundamental problems solved include (i) motions independent of response functions, (ii) acceleration waves, and (iii) constrained microrotation and its application to rubber bonded barium ferrites.

TL;DR: In this paper, a flat crack of infinite length and constant finite width between dissimilar anisotropic materials is examined and the stress distribution throughout the materials is determined for the case when the crack is subjected to a non-uniform applied stress.

TL;DR: In this paper, the dependence of the singularities on the local geometry and on the types of boundary conditions is investigated, and it is found that the type of boundary condition determines the singularity but the geometry largely influences the magnitude of singularity.

TL;DR: In this paper, the exact analysis of stresses and displacements in a linear elastic half-space composed of one or two layers bonded to another homogeneous half space is presented, in a form suitable for numerical computation.

TL;DR: In this article, a large deformation analysis of the inflation of rotationally symmetric balloons is developed and specialized to inflation of an initially spherical balloon, which reveals the existence of a local maximum indicating the occurrence of a tensile instability.

TL;DR: In this article, two axially symmetric mixed boundary value problems in an elastic dissimilar layered medium are considered, where an elastic layer is bonded to two semi-infinite half spaces along its plane surfaces and contains a penny-shaped crack parallel to the interfaces.

TL;DR: In this article, a micromorphic theory for polycrystalline mixtures, granular composites, and fluid suspensions is developed for the case where the wave length of the imposed motion is comparable to the average dimension of the intrinsic discontinuities in the material, e.g. the average grain size or inter-grain distance.

TL;DR: In this paper, the authors considered the problem of determining the stress field in an elastic strip of finite width when pressure is applied to the faces of a Griffith crack situated symmetrically within it.

TL;DR: In this article, the static and dynamic theory of electric and magnetic multipoles is given for a rigid medium and then generalized for a nondissapative deformable continuum, respectively, for the case of a non-asymptotic medium.

TL;DR: In this article, the problem of determining the stress and displacement fields in an elastic half-plane containing an edge crack normal to the free surface when the crack faces are subjected to normal pressure is reduced to a mixed boundary value problem for the quarter plane.

TL;DR: In this paper, the authors derived constitutive equations for a mixture of two incompressible Newtonian fluids and the flow induced in such a mixture by the steady oscillation of an infinite plate.

TL;DR: In this article, a new mathematical model is used to represent systems characterized by dynamic hysteresis loops, which is completely specified by three nonlinear functions: a restoring function f, a dissipation function g, and a weighting function h. Simple procedures are given for constructing these functions so the resulting model will simulate a given loop exactly.

TL;DR: In this paper, the torsion problem of homogeneous and isotropic beams in the linear theory of micropolar elasticity is solved in terms of three Torsion functions.

TL;DR: In this article, the macroscopic relation between isotropic stress and dilatation was analyzed for a composite consisting of elasto-plastic matrix and elastic particles or empty cavities (porous material), on the basis of the composite spheres assemblage model.

TL;DR: In this paper, a method for finding contact pressures and surface displacements of a semi-infinite elastic solid, indented by a rigid, heated punch, is described, which is reduced to an equivalent isothermal problem by making use of various properties of the point source solution and superposing these on the initial profile of the solid.

TL;DR: In this paper, the authors solved the Saint-Venant's problem in the linear theory of micropolar elasticity in terms of three functions and proved the existence of the solution.

TL;DR: In this article, a class of exact (controllable) solutions for materials subjected to thermomechanical constraints are presented, which are intended to model materials reinforced with cords.

TL;DR: In this paper, the authors apply geometric optics to linear shell analysis using tensors and tensor products rather than the components of tensors used by most of the original tensors.

TL;DR: In this article, the authors extended the linear theory of thermo-viscoelasticity to include a larger group of materials and environmental effects, and found that this mapping can have a profound effect on the resulting stress distributions.

TL;DR: In this paper, the boundary value problems of micropolar elasticity were studied and existence theorems were derived by using the method of potentials, where the potentials are used to obtain the boundary values.

TL;DR: In this article, the lateral surface is assumed to be traction free, whereas its end sections are subjected to prescribed tractions and/or displacements, and a family of biorthogonal eigenfunctions are generated via Love's function.

TL;DR: In this paper, Fourier-Mellin and Laplace inversions of the Boltzmann-Volterra integrals are used to obtain integral representations of the kernel, which can frequently facilitate computation and clarify the physical significance of the coefficients in the eγ function.

TL;DR: In this paper, a general local potential for the stability of parallel flows with an imposed temperature gradient (normal or "adverse") has been proposed, with two well defined limits: the Benard problem for a Reynolds number equal to zero, and the Orr-Sommerfeld problem for vanishing Rayleigh number.

TL;DR: In this article, the results relating to stationarity conditions in non-local variational mechanics are extended to include nonlocalizable problems with implicit nonlocality, and the results are extended further to include problems with explicit non-locality.

TL;DR: In this paper, a relativistic theory of micropolar media is presented, which extends the account on the classical theory, presented in Part I, to the domain of the special theory of relativity.

TL;DR: In this article, a method was developed, making use of finite-element techniques, for calculating stress-distributions, slip amplitudes, and damping capacities in a number of simple clamped joints under alternating loading conditions with a finite coefficient of friction on the interface.

TL;DR: In this article, the distribution of stress in an elastic sphere when it is deformed by the application of pressure to the inner surfaces of a penny-shaped crack, which is situated in a diametrical plane, is analyzed.