scispace - formally typeset
Search or ask a question

Showing papers in "International Journal of Engineering Science in 1977"


Journal ArticleDOI
TL;DR: In this article, the overall moduli of a 2-phase linearly elastic composite are estimated by the differential scheme, where the phases may be arbitrarily anisotropic and 1 phase is regarded as similar ellipsoidal inclusions at any concentration embedded homogeneously in a matrix.

507 citations


Journal ArticleDOI
TL;DR: In this article, existence and uniqueness theorems, known in the theory of the Navier-Stokes equations, are valid for the incompressible micropolar equations too.

215 citations


Journal ArticleDOI
TL;DR: In this paper, a solution for the problem of straight edge dislocation in non-local elasticity is presented for the same problem and the stress field and elastic energy are calculated.

109 citations


Journal ArticleDOI
TL;DR: In this paper balance laws for a mixture of granular materials of a type described by Goodman and Cowin are given for the case of two dry granular constituents, and consequences of the entropy principle are found.

79 citations


Journal ArticleDOI
TL;DR: In this paper, a thermodynamic analogue of the thermostatic temperature is defined by the vanishing heat exchange between a non-equilibrium system and a heat reservoir, called contact temperature.

60 citations


Journal ArticleDOI
TL;DR: In this paper, a solution for two bonded isotropic linearly elastic halfplanes of different elastic properties having a crack along the interface as welt as a perpendicular crack in one of the half-planes which may intersect the interface crack is given.

57 citations


Journal ArticleDOI
TL;DR: In this paper, the field equations of micropolar fluid theory are applied to consider transient unidirectional plane flows and the relative angular velocity is introduced and maximum and minimum principles of parabolic partial differential equations are utilized to establish a spin-vorticity relation.

43 citations


Journal ArticleDOI
TL;DR: In this paper, the theory of nonlocal generalised thermoelasticity is developed within the framework of the nonlocal continuum mechanics, and the constitutive relations are linearised and field equations are provided for homogeneous isotropic solids.

41 citations


Journal ArticleDOI
TL;DR: In this paper, the magnitude of discontinuities of the first derivatives of flow quantities in the unsteady flow of a perfect gas are shown to satisfy Riccatti equations along the orthogonal trajectories of sonic singular surfaces S(t).

40 citations


Journal ArticleDOI
TL;DR: The combined effect of Darcy and viscous resistances on the fully developed natural convection of a fluid between two heated vertical plates is investigated in this paper, where the authors obtain the modified Poiseuille flow distribution through porous media.

31 citations


Journal ArticleDOI
TL;DR: In this paper, a thermodynamically acceptable generalization of the Landau 2-fluid equations for the motion of helium II is proposed, which incorporates both healing and relaxation effects associated with conversion between superfluid and normal fluid.

Journal ArticleDOI
TL;DR: In this article, the authors considered the boundary conditions for a micropolar fluid with respect to the representation of a suspension of solid particles in a Newtonian fluid, and the case of a dilute suspension of rigid force-free spheres in slow viscous Couette flow parallel to a rigid plane wall is treated in an exact manner by classical continuum mechanics.

Journal ArticleDOI
TL;DR: With the help of dislocation theory, a new hardening law and a yield criterion are introduced and the initial and subsequent yield surfaces for both single crystals and polycrystalline aggregates are studied as mentioned in this paper.

Journal ArticleDOI
TL;DR: In this article, an approximate boundary condition for an acoustically penetrable or electromagnetically dielectric half plane is derived which depends on the thickness and material constants which constitute the half plane.

Journal ArticleDOI
TL;DR: In this paper, the effect of some parameters on shear stress and point of separation was studied in a non-symmetric channel with continuous constriction, and the expressions for velocity, micro-rotation and axial pressure gradient were derived.

Journal ArticleDOI
TL;DR: Hall effects on Couette flow of an electrically conducting fluid between two parallel plates for both the cases of impulsive as well as uniformly accelerated motion of one of the plates is discussed in this paper.

Journal ArticleDOI
TL;DR: In this paper, the authors considered the Hall effects on the combined free and forced convective fully developed flow in a parallel plate channel with perfectly conducting walls and obtained an exact solution of the governing equations.

Journal ArticleDOI
TL;DR: In this paper, two basic problems in 2D elastodynamic fracture analysis, the plane crack expanding from a line flaw at a constant rate and the semi-infinite plane crack, are treated simultaneously by allowing the former problem to have crack edges which equal or exceed the Rayleigh wave speed.

Journal ArticleDOI
TL;DR: An exact theoretical solution for the stresses and displacements in an infinite plate of finite thickness having a circular hole and subjected to axisymmetric normal leading was given in the form of Fourier-Bessel series and integral.

Journal ArticleDOI
TL;DR: In this article, an analysis of the plane infinite elastic wedge with a symmetric crack at the end is presented, and exact expressions for the stress intensity factors as functions of the wedge angle and the force direction are derived.

Journal ArticleDOI
TL;DR: In this paper, a Hard Sphere Expansion (HSE) conformal solution theory is developed in order to predict the vapor-liquid equilibria properties of multicomponent mixtures, and the HSE mixing rules are derived with consideration of the Kihara spherical core function as the pair potential together with the 3-body potential function.

Journal ArticleDOI
TL;DR: In this paper, a wave propagation analysis of half-space indentation by a rigid indentor of a general symmetric shape at arbitrary speeds is considered under conditions of frictionless contact and perfect adhesion.

Journal ArticleDOI
TL;DR: In this paper, a solution of an axisymmetric contact problem for an isotropie homogeneous, elastic layer bonded to the rigid foundation with a cylindrical hole is obtained.

Journal ArticleDOI
TL;DR: In this paper, the stress and couple-stress fields due to Frank disclinations in an infinitely extended isotropic, elastic, and micropolar continuum are estimated for both twist and wedge disclinations.

Journal ArticleDOI
TL;DR: In this paper, an exact solution has been obtained for the problem of combined effects of Hall current and rotation on the hydromagnetic flow due to non-torsional oscillation of a porous plate.

Journal ArticleDOI
TL;DR: In this article, the dispersion equation for elastic wave propagation in a pre-stressed plate composed of an isotropic hyperelastic medium with a strain energy function of general form is derived.

Journal ArticleDOI
TL;DR: The boundary value problem of place in nonlinear hyperelastostatics is considered in this article, where integral estimates for the displacement and the strain energy are obtained for the weak (or classical) solution in terms of the given body force.

Journal ArticleDOI
TL;DR: In this article, the first and second subsequent yield surfaces of aluminium were calculated and the obtained yield surfaces exhibit the following features: they shrink in the direction of prestressing, they show a rounded vertex near the prestress point, they become inflated on the side of prestress and deflated on the opposite side, and finally they may exclude the origin.

Journal ArticleDOI
TL;DR: In this paper, the non-homogeneous equations of equilibrium of the bending of micropolar plates are integrated in terms of complex potentials, conditions for the uniformity of the displacements, microrotations, stresses and micromoments are also given.

Journal ArticleDOI
TL;DR: The linearized equations of motion for small perturbations about a state of steady flow of a conservative dynamical system, when expressed in appropriate variables, admit a class of explicit constants of motion.