Showing papers in "International Journal of Engineering Science in 1964"

TL;DR: In this paper, the formulation of the basic field equations, boundary conditions and constitutive equations of simple micro-elastic solids is discussed. And explicit expressions of constitutive expressions of several simple micro elastic solids are given and applied to some special problems.

TL;DR: In this paper, the specific form of constitutive equations for isotropic micro-elastic materials, various approximate theories, the linear and the determinate theory of couple stress, were obtained and applied to the study of the Rayleigh surface waves in microelasticity.

TL;DR: In this article, the balance equations are postulated as integral equations from which the corresponding differential and jump equations are derived for both an individual constituent and for a reacting continuum, which is useful in formulating theories describing particular heterogeneous reacting continua.

TL;DR: In this article, a new method which involves the determination of a function of the complex variable representing the field of isostatics is used for the solution of stress distribution in rectangular bars compressed by uniformly distributed normal loads.

TL;DR: In this paper, the origin and development of the theory of plasticity and yielding in the terminology of Riemannian and non-Riemannians geometry are outlined in Section I, which is intended for a non-mathematical introduction.

TL;DR: In this article, it was demonstrated that the complex modulus function is the most convenient way of experimentally characterizing the corresponding mechanical properties and that by direct conversion the relaxation function may be obtained for times several orders of magnitude shorter than is possible by a relaxation experiment.

TL;DR: In this paper, asymptotic solutions of the differential equations for unsymmetrical deformations of such shallow shells of revolution as behave qualitatively similar to shallow spherical shells are superimposed.

TL;DR: In this article, the state of stresses on a thin strip (or a thin slab in the three dimensional case) and the semi-infinite substrate, rigidly adhering to each other and with different elastic properties, under elliptically distributed normal and tangential boundary stresses is obtained in terms of Fourier integrals.

TL;DR: In this paper, the basic field equations, boundary conditions, and constitutive equations, necessary for the treatment of problems involving the nonlinear, steady state behaviour of isotropic elastic solids subject to large deformations, electromagnetic fields and thermal gradients, are derived and employed to solve three specific problems.

TL;DR: In this paper, the authors considered the problem of determining the field of a plane wave of transverse magnetic type in the presence of a right-angled dielectric wedge and derived an explicit solution, and shown to be unique.

TL;DR: In this article, a simple model is used to consider the spread of plasticity between two identical coplanar cracks in the interior of an infinite body subject to an applied shear stress which causes the body to deform in an antiplane strain mode.

TL;DR: In this article, Eringen's theory of homogeneous, isotropic hyperelastic dielectrics is applied to the symmetric expansion of a thick spherical shell and the effect of polarization is to increase the radial stress.

TL;DR: In this article, a rigorous derivation of the general equations of elastic shells was given in which the entire boundary-value problem of shell theory under the Kirchhoff-love hypothesis was recast in terms of symmetric strain measures and symmetric resultants.

TL;DR: In this article, the large-time transient behavior of diffraction of a plane pulse by a circular cylinder is investigated for three different boundary conditions, and the solutions are expressed in integral forms by Laplace Transforms.

TL;DR: In this paper, conditions for the existence of a Spanning Liapunov Function (SLF) ensuring stability for the generalized Lur'e problem with m nonlinearities were derived.

TL;DR: In this paper, a comparison of the constitutive equations of Rivlin and Ericksen, Reiner and Rivlin, Oldroyd, and a linear viscoelastic relation was made by using them in solving the problem of finite-amplitude lowfrequency oscillation of a flat plate bounding a semi-infinite body of fluid.

TL;DR: In this article, the flexural stresses near an edge which coincides with a line of curvature of a non-shallow thin shell of arbitrary shape were determined and a first order solution with an error of order √( t r ) was derived for the restricted case of a shell of revolution under axially symmetrical load.

TL;DR: In this article, the authors derived explicit expressions for the boundary layer stresses with an accuracy of order √( t r ) with respect to the normal deflexion of a thin shell of revolution under internal pressure.

TL;DR: In this paper, the velocity potential of a rigid piston in an infinite plane baffle was obtained when the boundary condition on the baffle is pressure = (velocity normal to the piston) × (constant acoustic impedance) of the piston, and the potential on the piston was expanded in infinite Dini series of Bessel functions; to find the coefficients in the series one has to solve an infinite set of linear equations.

TL;DR: In this paper, the propagation of changes in strain associated with an unstable load are presented. But these deformations frequently propagate at speeds which are less than 10 in/sec, and the response is approximately that of a linearly elastic material.

TL;DR: Inverse constitutive rate equations are proposed for the rigid/plastic solid in this article, which express the stress rate in the deforming region in terms of the strain-rate and an arbitrary symmetric tensor.

TL;DR: In this article, an approach to the integral transform analysis of linear differential systems is presented based on the expansion theorem of Weyl, Stone, Titchmarsh, and Kodaira (W-S-T-K).

TL;DR: In this paper, the numerical solution of a linear differential problem is formulated as an overdetennined linear model with the objective of minimizing approximation errors, and the dual of this model is a linear program.

TL;DR: In this paper, the transients due to uniform heat addition to the steady sub-true-sonic, one-dimensional flow of an ideal, inviscid, perfectly conducting compressible fluid, subjected to an oblique magnetic field with two nonzero components, are determined by the use of a linearization based on small heat addition.