Showing papers in "International Journal of Solids and Structures in 1972"

TL;DR: In this paper, it was shown that if the displacement field and stress intensity factor are known as functions of crack length for any symmetrical load system acting on a linear elastic body in plane strain, then the stress intensity factors for any other symmetric load system whatsoever on the same body may be directly determined.

TL;DR: In this article, two-dimensional equations of motion of piezoelectric crystal plates are obtained by retaining early terms of power series expansions of the mechanical displacement and electric potential in a variational principle for the three-dimensional equation of PDEs.

TL;DR: In this paper, the authors present numerical methods for the determination of the ultimate load of two-and three-dimensional structures assuming an ideal rigid-plastic behavior of the material.

TL;DR: In this paper, the results of an experimental study of yield surfaces of pure aluminum at elevated temperatures from 70 to 305°F are presented, where several prestressing paths in σ-τ space are used.

TL;DR: In this paper, the eigenvalue problems of cracked rectangular plates are solved for a plate with a crack emanating from one edge and a plate having a centrally located internal crack, and the singularity of the solution is isolated and treated analytically.

TL;DR: In this article, it is shown that the micropolar medium is a continuum approximation to large grid frameworks under initial axial forces, and the finite difference method, which is one possible means for the analysis of the overall behavior of a large framework, is investigated and found to give rather accurate results using much fewer unknowns than the exact analysis.

TL;DR: In this paper, the contact problem in a multilayer medium is analyzed based upon classical elasticity theory and the mixed boundary value problem is reformulated into a general approximation technique suitable for calculation on a digital computer.

TL;DR: In this paper, the transient stress and displacement fields around a finite crack opened out by normal and shear tractions applied to its surface are obtained using integral transforms coupled with the technique of Cagniard.

TL;DR: In this paper, the numerical solution of three problems of finite deflection of uniform beams using the Euler-Bernoulli law of bending is presented, i.e., the uniformly loaded cantilever, the simply supported beam and the column under axial loading.

TL;DR: In this article, the authors extended the existing literature to provide hybrid coordinate equations of motion for a finite element model of a flexible appendage attached to a rigid base undergoing unrestricted motions and some of the advantages of the finite element approach are noted.

TL;DR: In this article, the Galerkin technique is used to reduce the problem to a system of coupled non-linear ordinary differential equations for the modal amplitudes, which are solved for arbitrary initial conditions by using the multiple-time scaling technique.

TL;DR: In this paper, two-dimensional equations of successively higher orders of approximation for elastic, isotropic plates are deduced from the three-dimensional theory of elasticity by a series expansion in terms of simple thickness-modes for infinite plates.

TL;DR: In this paper, the authors performed axial compression tests on eleven thin-walled aluminum cylinders with rectangular cutouts and found that reinforcement of the cutout is of no benefit unless the cylinder is of extremely high (geometrical) quality.

TL;DR: In this article, the problem of diffraction of normally incident longitudinal and antiplane shear waves by two parallel and coplanar Griffith cracks embedded in an infinite, isotropic and homogeneous elastic medium is solved.

TL;DR: In this paper, the plane elastostatic problem for bonded materials containing a flat inclusion is considered and the stress intensity factors are presented as functions of the ratio of the distance from the interface to the length of the inclusion.

TL;DR: In this article, the eigenfunction technique of Little and Childs is further developed into a method, such that the stress-singularities at the circumference of the end-planes can be incorporated.

TL;DR: In this paper, the validity of Neuber's relationship between the stress and strain concentration factors for the plane stress problems is examined and a generalized Stowell formula for the stress concentration factor is proposed for problems in which the applied loading may be pure shear as well as pure tension and furthermore, other stress states.

TL;DR: In this article, a time independent incremental constitutive law corresponding to hypoelasticity is examined with particular reference to its description of failure, and material constants applicable to plain concrete are determined and the resulting law is shown to describe the behavior up to and including failure for both triaxial and combined torsion and compression loading.

TL;DR: In this paper, the effects of small deviations of the meridian from a "perfect" form may be analyzed with ease, and solutions are found for several kinds of imperfection and the results plotted in a specially compact form.

TL;DR: In this paper, the nonlinear basic equations which govern the motion of beams are developed on the basis of three-dimensional theory of thermo-elastodynamics in terms of a reference state.

TL;DR: In this paper, the instability of a rectangular solid loaded in plane strain by constant axial and transverse pressures was investigated using a variational method using two types of slightly compressible rubber-like material.

TL;DR: In this article, an integral equation method is presented which permits evaluation of stress and displacement fields in two-dimensional elastic solids near corners and notches, and sample numerical solutions are presented for notched and cracked plates.

TL;DR: In this paper, the steady-state motion of a rigid beam resting on the surface of a two-dimensional model is analyzed considering permanent contact and a distributed mass of the shear layer.

TL;DR: In this paper, a procedure is given in order to determine various functions and constants entering in a constitutive equation exhibiting both time-dependent and time-independent plasticity, starting from a set of experimental data.

TL;DR: In this article, the authors derived the plane stress limit conditions or maximum plastic strength envelopes using limit analysis for arbitrary planar arrays of thin, strong filaments in a matrix of weaker material.

TL;DR: In this paper, a number of extremum principles are developed for the acceleration fields associated with rigid-plastic dynamic loading problems, where major emphasis is given to global and local principles for mode solutions (where the spatial variables may be separated from time).

TL;DR: In this article, the authors investigated the dynamic buckling of elastic shallow structures subject to periodic loading by means of two simple model structures, where the cycle averaging technique was employed to formulate an autonomous system for the cycle-averaged motion of the structure.

TL;DR: In this article, a general non-self-adjoint eigenvalue problem is examined and it is shown that the commonly employed approximate methods, such as the Galerkin procedure, the method of weighted residuals and the least square technique lack variational descriptions.

TL;DR: It is shown how the technique of geometric programming may be used to rapidly ascertain the influence of any constraints which are imposed on the objective function in order that inactive ones may be omitted before the main minimization calculation is started.

TL;DR: In this paper, the transient response of an elastic prolate spheroidal shell to a uniform pressure suddenly applied to its surface, and the pressure field in the surrounding acoustic fluid are obtained.