Showing papers in "International Journal of Solids and Structures in 1969"

TL;DR: In this paper, a numerical solution capability is developed for the solution of problems in three dimensional elastostatics, which utilizes singular integral equations which can be solved numerically for the unknown surface tractions and displacements for the fully mixed boundary value problem.

TL;DR: Two body mechanical systems operating within dynamics laws simulating backward and forward bending motions of falling cat are shown in this paper. But they do not describe the behavior of the falling cat.

TL;DR: In this paper, the Kirchhoff theory of shells is refined to include a transverse shear deformation and the Lagrange equations are introduced to derive the equations of the discrete system.

TL;DR: In this paper, a variational principle is formulated as the foundation of the finite element method proposed by Pian, and an extension of Pian's original proposal is made and the convergence of the approximate solution to the exact one is proved.

TL;DR: In this paper, a question of the correlation between stability and quasistability regions of elastic and viscoelastic systems subjected to non-conservative forces is discussed, and it is shown that for real laws of damping, a considerable part of the stability region belongs in fact to instability region.

TL;DR: In this paper, an experimental investigation was undertaken in order to study the behavior of fully-clamped rectangular plates when subjected to uniformly distributed impulsive velocities, and the total energy of the dynamic loads was sufficiently large to cause plastic flow of the plate material and maximum permanent deflections from 0.2 to nearly seven times the corresponding plate thicknesses.

TL;DR: In this paper, a consistent matrix formulation for the discrete element technique for linear and eigenvalue problems of structures assembled from thinwalled segments with open cross section is presented using the solutions of homogeneous differential equations governing the static problem as deformation modes.

TL;DR: In this article, an extended Kantorovich method for the solution of eigenvalue problems in partial differential equations is presented, where the specific examples treated are: the vibrations of a rectangular membrane and the stability of an elastic rectangular plate compressed in its plane.

TL;DR: In this paper, the authors investigated the decay of axial force in an infinite cylindrical elastic bar that is completely bonded to an all around infinite elastic medium of distinct mechanical properties.

TL;DR: In this article, it was suggested that an anomaly observed by C.A. Mead in measurements of the capacitance of thin dielectric films, may be due to an electromechanical effect not accounted for in the classical, continuum theory of piezoelectricity.

TL;DR: In this article, a specialized form of Reissner's variational principle is developed which is suitable for anisotropic incompressible and nearly-incompressible thermoelasticity.

TL;DR: In this paper, the large deflection behavior of a shallow circular arch subjected to a vertical point load is studied analytically using the Rayleigh-Ritz finite element method.

TL;DR: In this paper, a variational principle based on assumed stress hybrid method suitable for incompressible or near-incompressible solid is formulated for finite element analysis, and one example to illustrate the use of the method is given.

TL;DR: In this article, the method of collocation is used to obtain dispersion curves for wave propagation in infinite rectangular bars, and the results are used to assess the accuracy of two recent approximate theories for waves in bars.

TL;DR: In this article, the buckling and postbuckling behavior of complete spherical shells were investigated under the assumption that both the unintentional, random initial deviations from the exact shape, and the following elastic deformations are symmetric to some radius of the shell.

TL;DR: In this paper, a modified formulation of the optimal design problem of solid plates is presented, where the condition of constancy of specific power of dissipation on the exterior plate surfaces is usually applied.

TL;DR: In this paper, an approximate method of stability analysis for equilibrium in elastic continuums subjected to follower type surface traction is presented, where the follower type is assumed to have a follower-type surface traction.

TL;DR: In this paper, the optimal design of structures of various types that are excited to harmonic vibrations by a single load, the intensity of which varies harmonically with time, is studied, and necessary and sufficient optimality conditions are given for rods and beams with continuously varying or segmentwise constant cross sections.

TL;DR: In this paper, the authors studied the stress field in Hertzian contact of parallel cylinders composed of some general anisotropic materials and of transversely isotropic spherical bodies.

TL;DR: In this article, the authors considered structures with constitutive laws that exhibit a linear elastic range limited by independently acting yield planes, and linear or piecewise-linear hardening, or nonhardening, plastic behaviour.

TL;DR: In this paper, the stiffness matrix is derived in a general way that is valid for all mathematical models which accept Kirchhoff's assumption, and a numerical example is presented to indicate the quality of results that can be obtained with 9 or 18 degrees of freedom at each meshpoint and basic functions of classes C1 or C2.

TL;DR: In this paper, the authors apply energy-decay inequalities to the axisymmetric end problem for a circular elastic cylinder and obtain lower bounds in terms of Poisson's ratio.

TL;DR: In this paper, the effects of temperature on composite beams of rectangular cross section were investigated and bounds on the thermal stress at each point and in each material were determined in a form especially useful for beams with a large number of uniformly distributed fibers.

TL;DR: In this article, a specialized form of Reissner's variational principle for stresses and displacements suitable to formulate a finite element version of the governing equations for thin shells is presented.

TL;DR: A general perturbation theory for the branching analysis of discrete conservative structural systems is presented in this paper, which is best analyzed without resorting to a scheme of diagonalization, and the absence of such a scheme distinguishes the present development from earlier studies.

TL;DR: In this article, an experimental study of the strain rate behavior of technically pure iron in pure shear is reported, and the basic assumptions of the visco-plasticity theory for complex states of stress have been examined in the light of this experimental evidence.

TL;DR: The author's recent investigations in the crack propagation theory are summarized in this paper as mentioned in this paper, which is a summary of the author's previous work in this field. But this paper is based on a different approach.

TL;DR: In this paper, an elastic wedge of interior angle χπ is subjected to spatially uniform but time-dependent shear tractions, which are applied to one or both faces of the wedge, parallel to the line of intersection of the faces.

TL;DR: In this paper, the stability of a Mooney material in plane strain subjected to a constant axial and lateral pressure is investigated, and two types of lateral pressure are considered, namely, a hydrostatic pressure and a constant directional pressure.