Showing papers in "International Journal of Engineering Science in 1982"

TL;DR: In this paper, the theory of consolidation with double porosity is further substantiated by establishing certain general results concerning the mathematical behavior of the relevant partial differential equations, including uniqueness and a variational principle.

TL;DR: In this article, macroscopic entropy balance equations for components, momentum and energy are established for a multiphase flow with diffusion, chemical reactions, heat transfer and exchanges of components between phases in a porous medium.

TL;DR: In this article, a higher order continuum theory with microstructure is derived for the modeling of the 3D motion of fiber-reinforced composites in which both the matrix and fibers constituents are assumed to be elastic-viscoplastic work-hardening materials.

TL;DR: In this article, simple relations are established between isotropic functions and anisotropic functions through some vectors or tensors which characterized the anisotropy group, and the results enable us to obtain representations of anisoustropy functions using the much well-known tables for representations of isotropics.

TL;DR: In this article, the authors considered noncentrosymmetry in a micropolar elastic solid and derived three new elastic constants in addition to the six considered in the fully isotropic micropolastic solid.

TL;DR: In this article, the origin of turbulent secondary flow in pipes of noncircular cross section is examined from a theoretical standpoint, and it is proven mathematically that secondary flows result from a nonzero difference in the normal Reynolds stresses on planes perpendicular to the axial flow direction.

TL;DR: In this article, the physics of water flow within glacier ice is closely examined with special reference to the unsteady flow through intraglacial channels, and 1-dimensional balance laws are derived which are valid for a curved and torded tube-like volume.

TL;DR: In this paper, the steady motion of a viscous incompressible fluid is studied and the locus Γ of the centers of the concentric circles is a skew curve.

TL;DR: Several different problems of determining unknown parameters or functions in parabolic partial differential equations from overspecified boundary data are treated in this paper, where explicit solutions are presented for various problems and the existence of a solution of various other problems is presented.

TL;DR: In this article, the asymptotic behavior of the solution of an electrically conducting viscous incompressible fluid in a rotating system under the influence of a uniform transverse magnetic field is investigated when one of the plates is set into motion with the time dependent velocity in its own plane.

TL;DR: In this article, it was shown that there exists a continuous transition between the asymptotic structures corresponding to different situations, and that the structure for concentrations of particles 0(1) gives by a limit process the scheme for small concentration.

TL;DR: In this article, the Hopf bifurcation of solutions to a certain mathematical model for a continuous fermentation process was investigated, and it was shown that the model, which incorporates Monod kinetics and a variable yield term which depends linearly on the underlying substrate, possesses a one-parameter family of periodic solutions when certain system parameters of the model assume a specific ratio.

TL;DR: In this article, the rate type constitutive equations are obtained from the standard theory with intermediate configuration for finite deformations of an isotropic elasto-plastic material.

TL;DR: In this paper, the convergence, uniqueness, and existence properties associated with solutions generated via the elliptically constrained incremental Newton-Raphson (ECINR) algorithm are analyzed.

TL;DR: In this article, the form of the energy equation for the flow in porous media was established and it was shown that the dissipative term as well as corrective convection terms must be taken into consideration.

TL;DR: The applicability of the power-type constitutive equations in mechanics of deformation and fracture of solids is related to a deep physical property of the process under consideration: its self-similarity.

TL;DR: In this paper, the Yang-Mills universal gauge theory construction is used to erect a complete continuum theory of material bodies with dislocation and disclination fields, and an analysis is made of the field equations and associated dispersion relations that obtain in a disclination free material in the linear elasticity approximation.

TL;DR: In this paper, it was shown that the principle of exchange of stability is not always accomplished in the Rayleigh-Benard problem for fluids with internal structure, and the possibility of oscillatory motions and the dependence of the critical Rayleigh number on the wave number was given.

TL;DR: In this article, the problem of forced heat or mass transfer from a single sphere in low Reynolds number flow is studied and a general "master-formula" is derived which involves Stokes resistance.

TL;DR: In this paper, a simple asymptotic analysis of two-dimensional cellular convection in a fluid saturated horizontal porous layer is performed using a simple algorithm based on the physical grounds, supported by experiments.

TL;DR: In this article, a three-layered composite with a crack spreading in the center layer has been analyzed to evaluate the effect of material nonhomogeneity on a constant velocity crack, and the results show that the intensity of local dynamic stresses increases or decreases with crack length to layer thickness as a function of the relative magnitudes of the adjoining layer's material properties.

TL;DR: In this article, a method for the determination of the natural modes and frequencies of liquid-filled storage tanks is presented, which is based on an analytical solution of the problem, and it is shown that the method can be used to determine the mode and frequency of storage tanks.

TL;DR: In this article, the equations governing the motion of a mixture of two incompressible inert Newtonian fluids are stated and some steady 2-dimensional solutions are derived and using these results a procedure is suggested for determining certain combinations of the coefficients which appear in the constitutive equations.

TL;DR: The covariant definition of the ponderomotive force density which is given in explicit form is based on the covariant decomposition of the 4-gradient in the energymomentum conservation equation.

TL;DR: In this article, the hydrodynamics of self propulsion of a spermatozoa, swimming through the mucus filling the cervical channel, is investigated and the results are elaborated through graphs.

TL;DR: In this article, the dimension reduction argument given in the appendix together with programs in the REDUCE-2 algebraic manipulation language reduce the computation time from man-years to a few mornings work at a computer terminal.

TL;DR: In this article, the exchange processes of energy involved in non-isothermic elastic-inelastic deformations lead to a decomposition of applied mechanical work into three parts: the strictly reversible work, the immediately dissipated work, and a part called stored energy.

TL;DR: In this article, a plasticity theory for ideal granular materials is formulated for isotropic and incompressible materials. All the equations are expressed in the form of 3-dimensional tensor equations.

TL;DR: In this article, a study of the dislocation path shear stress is presented, showing that the singularity order drops when the disolation moves at the Rayleigh wave speed, or supersonically.

TL;DR: In this article, the authors consider the Stefan problem in a medium with a solid-liquid phase change at a prescribed melting temperature and show that in order for such problems to be well-posed, this fraction of water must necessarily be specified initially in the region at the melting temperature.