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Showing papers in "International Journal of Engineering Science in 1981"


Journal ArticleDOI
TL;DR: In this article, the Laminar free convection boundary layer flow of a thermomicropolar fluid past a non-isothermal vertical flat plate has been studied in detail.

262 citations


Journal ArticleDOI
TL;DR: In this paper, a theory of nonlocal plasticity is developed, which is specialized to isotropic materials, and the yield criterion is derived from the second law of thermodynamics.

151 citations


Journal ArticleDOI
TL;DR: In this paper, implicit finite-difference analysis of transient free convective flow past a semi-infinite vertical flat plate, on taking into account mass transfer, is carried out.

119 citations


Journal ArticleDOI
TL;DR: In this paper, the authors examined the discrete eigenstructure of a well-known Lagrange multiplier formulation for linear elasticity or Stokes-flow and showed how the weak incompressibility constraint is reflected in the elementary divisor structure of the eigenproblem whose solution determines the finite element approximation to the natural modes.

102 citations


Journal ArticleDOI
TL;DR: In this article, a class of exact solutions to the equations of motion of a second grade fluid were established wherein the nonlinearities which occur in the equations are self-cancelling though individually non-vanishing.

90 citations


Journal ArticleDOI
TL;DR: In this article, a view of the relation between the continuum theory of defects in crystals and the mathematical theory of non-metric, non-Riemannian geometry is presented in the linear approximation.

85 citations


Journal ArticleDOI
TL;DR: In this article, the line-spring model developed by Rice and Levy for a surface crack in elastic plates is reconsidered and the problem is formulated by using Reissner's plate bending theory.

79 citations


Journal ArticleDOI
TL;DR: In this article, the theory of interacting continua is applied to the problem of diffusiion of a fluid through a non-linear elastic layer and a hollow sphere, and restrictions are derived from a thermodynamic standpoint for the partial stresses for the fluid and solid and the diffusive body force.

79 citations


Journal ArticleDOI
TL;DR: A thorough review of the main advances concerning both linear and nonlinear wave propagations in magnetizable deformable solids is presented in this paper, where the main features such as the influence of strong bias magnetic fields and the introduction of small parameters which bring corrections to classical results of elasticity theory are systematically investigated.

73 citations


Journal ArticleDOI
TL;DR: In this article, a systematic derivation of the approximate coupled amplitude equations governing the propagation of a quasi-monochromatic Rayleigh surface wave on an isotropic solid is presented, starting from the nonlinear governing differential equations and the non-linear free-surface boundary conditions, using the method of mulitple scales.

57 citations


Journal ArticleDOI
TL;DR: An exact solution for the flow of a second grade fluid between two infinite parallel plates rotating about non-coincident axes normal to the plates is given in this article, where the stability of the above flow is investigated for disturbances of finite amplitude.

Journal ArticleDOI
TL;DR: In this article, the convective instability of a micropolar incompressible fluid layer heated from below is treated within the framework of Serrin-Joseph's energy method, and the influence of various micropolarity parameters on the onset of convection is also analyzed.

Journal ArticleDOI
TL;DR: In this paper, a method for the numerical solution of singular integral equations with kernels having a singularity of the Cauchy type is presented, where the singular behavior of the unknown function is explicitly built into the solution using the index theorem.

Journal ArticleDOI
TL;DR: In this article, it was shown that a similar geometric construction is also possible in the quantum case, and the fundamental formulae of quantum case are given (they differ in some details from the classical ones), and possible physical applications are shortly sketched.

Journal ArticleDOI
TL;DR: In this article, a simple formula was derived for calculating the bounds of all orders as well as the selfconsistent value of the shear modulus for the special case of a macroscopically isotropic disordered polycrystalline aggregate of cubic crystals.

Journal ArticleDOI
TL;DR: In this paper, the authors demonstrate how complex variable techniques may be used to obtain closed-form solutions to dynamical problems in the classical theory of elasticity, such as the problem of a pair of punches moving along the lateral boundaries of the elastic strip and opening a crack along the mid surface.

Journal ArticleDOI
TL;DR: In this article, the instability of simple structures acted upon by compressive follower forces is discussed by using a static stability analysis, and it is concluded that depending on the amount of elastic restraint, divergence or flutter type instability is possible and the critical load of a divergence type non-conservatively loaded structure may be higher or smaller than the critical weight of the corresponding structure subjected to a conservative load.

Journal ArticleDOI
TL;DR: In this paper, a saturated porous rigid medium is studied by both theoretical and experimental approach, where liquid and electrical coupled macroscopic flows are obtained from the homogeneization method.

Journal ArticleDOI
TL;DR: In this paper, it is shown that subsequent to thermal runaway, the behavior of the system resembles that of self-induced combustion, except that the thermal explosion is now confined to a thin surface layer.

Journal ArticleDOI
TL;DR: In this paper, the authors compared the theories of brittle fracture fronts in solid materials with experimental data and showed that the limit velocity of brittle cracks front takes place immediately after the separation of the shock front and the front of brittle fractures, leading to the conclusion that in the two-front structure of plane shock waves the amplitude of elastic precursors, known as the Hugoniot elastic limit, exceeds the value of ultimate static strength of a solid material and has to increase with increasing of a finite shock pressure.

Journal ArticleDOI
TL;DR: In this article, the nonlinear mode coupling between two co-directional quasi-harmonic Rayleigh surface waves on an isotropic solid is analyzed using the method of multiple scales.

Journal ArticleDOI
TL;DR: The constitutive relations and rate laws proposed by Chen and Peercy as mentioned in this paper have been successfully implemented in describing the one dimensional polar mechanical and dielectric responses of the ferroelectric ceramic PZT 65/35 to a slowly varying cyclic electric field ( period > 1 s ).

Journal ArticleDOI
TL;DR: In this article, a pair of semi-linear hyperbolic partial differential equations governing the slow variations in amplitude and phase of a quasi-monochromatic finite-amplitude Love-wave on an isotropic layered half-space is derived using the method of multiple scales.

Journal ArticleDOI
TL;DR: In this article, the axisymmetric problem of an elastic layer lying on a semi-infinite foundation is considered, where the layer is pressed against the foundation by a uniform clamping pressure applied over its entire surface and a uniform vertical body force due to the effect of gravity.

Journal ArticleDOI
TL;DR: In this paper, the effective thermal stress and thermal expansion coefficients of unidirectional short-fiber composites were derived based on the known local elastic field solution derived by the perturbation expansion of the Green's tensor function.

Journal ArticleDOI
TL;DR: In this paper, the authors looked at possible applications of recent IR movie systems in the field of structural mechanics, where two main phenomenona are involved, on the one hand the isentropic temperature variations which occur during a periodic evolution, and on the other hand the dissipation of mechanical energy.

Journal ArticleDOI
TL;DR: In this paper, a variational principle for a coupled dynamic system of a solid and a water field with a free surface is derived with the aid of Hamilton and Toupin's dual principles.

Journal ArticleDOI
TL;DR: In this paper, a spheriod oscillating vertically along its axis of symmetry in an otherwise still, inviscid, incompressible, linearly stratified fluid of infinite extent is considered.

Journal ArticleDOI
TL;DR: In this article, a method of integrating Hamilton's canonical equations of motion by assuming that one component of the momentum vector can be represented as a field depending on time, generalized coordinates and the rest of the components of momentum vector was proposed.

Journal ArticleDOI
TL;DR: In this paper, the authors considered a rigid half-wedge which simultaneously translates tangentially and normally at constant speeds with respect to the surface of an elastic half-plane, and showed that the coupling effect may be small for low indentation speeds and relatively flat half-wedges.