Showing papers in "International Journal of Solids and Structures in 1979"

TL;DR: In this paper, an incremental approach to the solution of buckling and snapping problems is explored, where the authors use the length of the equilibrium path as a control parameter, together with the second order iteration method of Newton.

TL;DR: In this article, the authors derived the variational principle governing the displacement distribution on a unit sphere about point 0 of the crack front edge at the surface of an elastic body, using spherical coordinates r, θ, φ and assuming all three displacements to be of the form r λ p p F ( θ, λ ) where p = distance from the singularity line (crack front edge or notch edge) and p = given constant.

TL;DR: In this article, a direct approach is employed to obtain a general formulation of plate bending problems in terms of a pair of singular integral equations involving displacement, normal slope, bending moment and shear on the plate boundary.

TL;DR: In this paper, the effects of non-random distributions of dry and saturated cracks on the effective elastic stiffnesses of a cracked body were studied and the results for two special distributions were given.

TL;DR: For large deformation elastoplasticity, the question of the decomposition of the total strain and the strain rate into the elastic and plastic constituents is critically examined in this paper.

TL;DR: In this article, the concepts of yield surface and loading surface at room temperature and elevated temperature are discussed and experimental results on pure aluminum in support of these concepts are presented, and recommendations for future experimental research are presented.

TL;DR: An experimental investigation into the plastic buckling of cylindrical tubes subjected to bending moments at the ends is reported in this article, where suitable parameters by means of which the buckling moment may be represented are first discussed, and after a description of the apparatus and the testing procedure, the results of tests on stainless steel and aluminium alloy tubes are given.

TL;DR: In this paper, a finite element approach is proposed for the static and dynamic nonlinear analysis of cable structures, in which a variational formulation of equilibrium equations is derived in which static and kinematic variables are measured in some previous configuration of the body.

TL;DR: In this paper, the axially symmetric elastostatic problem of a half space containing a partially embedded, axially-loaded, rigid cylindrical rod is investigated, and the results appear to be comparable to those of Muki and Sternberg for an axially loaded rod.

TL;DR: In this paper, a doubly asymptotic boundary element (BE) treatment of dynamic soil-structure interaction where the surrounding medium is treated as linear-elastic is presented.

TL;DR: The Griffith criterion for fracture, considered within the framework of nonlinear thermoelasticity, is shown to be a necessary condition for crack initiation, provided the underlying strain energy is properly interpreted, and provided the initial temperature is continuous at the crack tip.

TL;DR: In this paper, a direct approach based on the theory of a Cosserat curve comprising a one-dimensional curve and a pair of directors attached to every point of the curve is proposed.

TL;DR: In this article, the authors used the theories of Seeger's dislocation pile-up and Orowan's dispersion hardening to show that the behavior of single crystals obeys Prager's kinematic hardening rule.

TL;DR: In this article, the authors considered the elastostatic problem for a relatively thin-walled spherical cap containing a through crack and derived the numerical solution of the problem for an isotropic shell and for two specially orthotropic shells.

TL;DR: In this article, Nagtegaal et al. developed a variational principle for nearly incompressible materials in the fully plastic range and extended it to the domain of nonlinear elasticity.

TL;DR: In this article, a theory of porous elastic solids, either dry or saturated by a compressible fluid, is presented which is based upon Hamilton's extended variational principle and includes the effects of the local expansions and contractions of the porous structure (microinertial effects).

TL;DR: In this article, a soil mechanics oriented theory of the hysteretic behaviour of materials under alternating loading is presented, focusing on the behaviour within the yield locus. But the authors do not consider the effects of the load on the soil.

TL;DR: In this article, optimal structural design corresponds to non-analytical points for which the first variation of volume or cost does not necessarily vanish, such as when optimal design is aimed at maximizing the lowest eigenvalue (natural frequency, buckling load) and a multimodal solution occurs.

TL;DR: In this paper, the boundary value problem for the plane-strain uniaxial tension of a rectangular bar is posed in two ways, in one case the ends of a specimen of compressible elastic-plastic material are assumed to remain shear free.

TL;DR: In this paper, the growth and stability of a system of thermally induced equally spaced parallel edge cracks in a half-plane consisting of a homogeneous isotropic linearly elastic brittle solid has been studied.

TL;DR: In this article, the order-three, integro differential, nonlinear equations of motion for an inextensional beam, derived by the authors in a previous publication, were analyzed to investigate non-linear resonant coupling effects between the non-planar free oscillation modes of a fixed-free beam with asymmetric support conditions.

TL;DR: In this paper, a mathematical model was developed for two phase materials with the object of using it for predicting the response of masonry walls to dynamic inputs, and the method employed here uses the theory of mixtures applied to a two phase material in which the phases reflect a periodic structure and in which each phase is linearly elastic.

TL;DR: In this paper, the problem of determining the limiting pressure of a cylindrical tube with a fixed elongation was studied and an optimization scheme using a projected gradient was proposed to solve it.

TL;DR: In this paper, a theory for the dynamic response of a homogeneous, elastic, dispersive material is developed, which is derived from a general theory for all two phase periodic materials which was developed earlier.

TL;DR: In this paper, the problem of calculating the stresses near the tip of a radial crack at the edge of a circular hole in an infinite elastic solid when the crack and the hole are loaded in an arbitrary fashion is reduced to a pair of singular integral equations which are solved numerically.

TL;DR: In this paper, the distortions within beams and rods undergoing large displacements and rotations are derived from three-dimensional elasticity by an asymptotic procedure, based on the premise that strains vary more gradually along the rod than in transverse directions, taking full account of the shape of the cross section, the traction conditions on the lateral boundary and any material anisotropy.

TL;DR: In this paper, the complete stress field due to contact between identical, transversely isotropic, rough spheres loaded normally and tangentially is derived for any point in the medium.

TL;DR: In this paper, the authors used minimum potential and complementary energy for the establishment of upper and lower bounds for the influence coefficients of cantilever beams in terms of influence coefficients, based on previous work for the problem of end-loaded cantilevers with loading conditions prescribed by displacements rather than stresses, for the purpose of defining shear center location.

TL;DR: In this article, the effects of transverse shear on flat rectangular plates in uniform uniaxial compression were analyzed using a hardening material obeying the von Mises yield condition.

TL;DR: In this paper, an explicit 3-term asymptotic solution for small branch angles was obtained for the problem of finding a branch angle as large as 72°, which was shown to be reasonably accurate.