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Showing papers in "International Journal of Engineering Science in 1976"


Journal ArticleDOI
TL;DR: In this article, the boundary layer flow over a semi-infinite flat plate is studied and the partial differential equations of motion are reduced to 2 couple differential equations and numerical solutions for different values of the parameters are obtained.

523 citations


Journal ArticleDOI
TL;DR: In this article, the mean motion of a flexible body undergoing arbitrarily large rotations with respect to an inertial frame is split into a mean rigid body motion, defining a dynamical reference frame, and a relative motion taking into account the deformations.

172 citations


Journal ArticleDOI
TL;DR: In this paper, a finite theory of the elastoviscoplastic behavior of single crystals based on the theoretical and experimental results concerning the microdynamics of crystal defects is presented.

112 citations


Journal ArticleDOI
TL;DR: In this paper, the stability of a layer of micropolar fluid heated from below is studied employing a linear theory as well as an energy method, and it is proved that the principle of exchange of stability holds and the critical Rayleigh number is obtained.

95 citations


Journal ArticleDOI
TL;DR: In this article, a theory of heatconducting micromorphic continua is applied to an analysis of heat conduction in materials with inner structure, and the constitutive coefficients are specified as functions of the volume concentration of inner structure and thermal properties of materials.

95 citations


Journal ArticleDOI
TL;DR: In this paper, the authors studied the thermal instability of a horizontal layer of micropolar fluid heated from below and found that the plot of Rayleigh number versus wave number has two branches separating the zones of Stability.

84 citations


Journal ArticleDOI
A. E. Green1
TL;DR: In this article, a phase plane analysis is used to obtain some non-linear solutions of the governing equations when viscosity is neglected, which is a limiting case of the theory.

71 citations


Journal ArticleDOI
TL;DR: In this article, self-similar flows of a non-ideal gas driven by an expanding piston are studied and the equation of state for such gases is taken in the best suitable form that is found to be fairly accurate at low density region.

68 citations


Journal ArticleDOI
TL;DR: In this article, a finite theory of the elastoviscoplastic behavior of single crystals based on the theoretical and experimental results concerning the microdynamics of crystal defects is presented.

64 citations


Journal ArticleDOI
TL;DR: In this paper, a continuum theory for axisymmetric plastic deformation of fibrous composites is proposed and a simple Hardening Rule I and an associated flow rule are formulated.

53 citations


Journal ArticleDOI
TL;DR: By using the principle of superposition and the results of an earlier paper, the problem is reduced to that of solving a pair of singular integral equations as discussed by the authors, and a number of special cases are considered and numerical results given.

Journal ArticleDOI
TL;DR: In this paper, it was shown from simple physical arguments that the material equations of a gas should have frame-dependent terms of the kind appearing in the Burnett equations, which indicates severe limitations of the range of validity of the Principle of Material Frame-Indifference.

Journal ArticleDOI
TL;DR: In this article, rate equations of coupled thermoplasticity are derived assuming that the total strain rate is composed of elastic and plastic terms and accounting for coupling effects such as heat of dissipation, piezocaloric effect, in both mechanical and temperature equations.

Journal ArticleDOI
TL;DR: In this article, the authors derived a closed form expression for a kernel function K(l; t1; x, t) such that the stress-intensity factor k(L, t1) at the point (l (t 1), 0, t 1) is given by

Journal ArticleDOI
TL;DR: In this article, the authors considered the Hall effects in a parallel plate channel with a transverse magnetic field and found that the primary flow shows incipient flow reversal at the upper plate for an increase in temperature along that plate.

Journal ArticleDOI
TL;DR: In this article, the problem of a crack at the interface of a half-space and a layer whose second edge is joined with a different elastic halfspace has been reduced to a singular integral equation with respect to an auxiliary unknown function.

Journal ArticleDOI
TL;DR: In this article, the authors considered the effective thermal conductivity of a random suspension of spheres in the limit of small concentrations and studied the effect of clustering on the thermal conductivities.

Journal ArticleDOI
TL;DR: In this article, the problem of the slow deformation of an ellipsoidal inhomogeneity inside a viscous liquid of different viscosity is extended to derive the equations governing the flow of an initially spherical inhomogeneous when a two-dimensional pure strain rate is applied at infinity.

Journal ArticleDOI
TL;DR: In this article, the authors considered the study of two-dimensional wave propagation in a half-space due to indentation by a rigid smooth indentor of a general shape at a non-uniform velocity and assumed that the indentor shape and displacement history can be represented by polynomial curves in a spatial variable and the time.

Journal ArticleDOI
TL;DR: In this paper, a study of the propagation of small amplitude waves in prestressed cylinders is made, where the initial state of finite strain is assumed to be a pure homogeneous biaxial deformation and the cylinder composed of a Mooney material.

Journal ArticleDOI
TL;DR: In this article, energy methods are employed to obtain information on the domain of attraction of steady state solutions to a class of heat conduction problems with nonlinear heat generation, and essential use is made of an inequality of Sobolev type, which may be of interest beyond the present context.

Journal ArticleDOI
TL;DR: In this article, the authors determined the motion of an elastic, homogeneous and isotropic half-space, excited by a normal point load traveling uniformly over the free surface.

Journal ArticleDOI
TL;DR: In this article, the general nature of certain global analytical estimates are in good qualitative agreement with existence of a transition slenderness ratio that separates buckling characteristic of long bars from axisymmetrie bulging characteristic of short bars.

Journal ArticleDOI
TL;DR: The elastodynamic stress field near a crack tip rapidly propagating along the interface between two dissimilar isotropic elastic solids is investigated in this article, where both anti-plane and in-plane motions are considered.

Journal ArticleDOI
TL;DR: In this article, a variational principle for linear coupled dynamic theory of thermoviscoelasticity is constructed using variational theory of potential operators, and the functional derived herein gives, when varied, all the governing equations, including the boundary and initial conditions, as the Euler equations.

Journal ArticleDOI
TL;DR: In this article, the superposition-related problems arising from the non-symmetric extension at a constant rate of a plane crack from a small flaw by the removal of normal and shear tractions along the crack plane is treated.

Journal ArticleDOI
TL;DR: In this paper, a possible form for the strain energy function for soft biomaterials is proposed, and application to the fundamental problems of simple elongation of a cylindrical bar and simultaneous inflation and extension of a circular cylinder tube is discussed.

Journal ArticleDOI
TL;DR: In this paper, the authors solved the Saint-Venant's problem in the linear theory of micropolar elasticity for a circular cylinder and obtained expressions for the macrodisplacement vector and microrotation vector.

Journal ArticleDOI
TL;DR: In this paper, a biorthogonality relation is constructed for the axisymmetric deformations in a cylinder whose plane faces are either stress-free or displacement-free.

Journal ArticleDOI
TL;DR: In this paper, the elastodynamic stress field near a crack tip rapidly propagating along the interface between two dissimilar orthotropic elastic solids is solved numerically, for in-plane motion.