Showing papers in "International Journal of Solids and Structures in 1973"

TL;DR: In this paper, the structure des relations de comportement d'un milieu elastique-plastique ou ELASTique-viscoplastique en transformation finie is studied.

TL;DR: For problems with singularities, the convergence rate for the finite element method is often controlled by the nature of the solution near the points of singularity as discussed by the authors. And unless the singularities are properly handled, the regular so-called high-accuracy element will not be able to improve the rate of convergence.

TL;DR: In this article, the initial postbuckling behavior of an integrally stiffened wide panel under compression was determined for a wide Euler column and local buckling of the plates between the stiffeners.

TL;DR: In this paper, the propagation of time harmonic longitudinal shear waves in a composite with randomly distributed parallel fibers is studied and the phase velocity and the damping of the average waves are obtained as functions of the statistical and the mechanical parameters of the system.

TL;DR: In this article, a binary mixture theory for wave guide-type propagation in laminated and undirectional fibrous composites is developed for wave-guide propagation in composite materials, and a rational construction of both mixture interaction and constitutive relations is given.

TL;DR: In this article, a matrix displacement approach is developed for the analysis of elastica problems of beams and frames, where the displacements considered are not small in comparison with the length of the beam member and the nonlinear path is predicted by the combination use of a midpoint tangent incremental approach and coordinate transformation at every step.

TL;DR: In this paper, the authors considered the problem of a laminate composite in the presence of a crack located normal to the bond lines and used an integral transform technique to formulate the problem in terms of a singular integral equation.

TL;DR: In this article, it was shown that the stiffness matrix produced by thin elastic plates becomes violently ill-conditioned as the thickness of the structure is reduced, and that the factor 1/t 2 causing this illconditioning can be removed from the stiffness matrices and consequently from its condition number by relating the thickness t to the diameter of the element h, without losing the rate of convergence provided by the degree of the shape functions inside the element.

TL;DR: In this paper, the authors considered the plane contact problem for an elastic layer lying on an elastic half space, where a compressive load is applied to the layer through a frictionless rigid stamp.

TL;DR: In this paper, a minimum-dimension formulation for finite-element appendage vibration equations is presented for a set of hinge-connected rigid bodies of tree topology, with rigid axisymmetric rotors and non-rigid appendages attached to each rigid body in the set.

TL;DR: In this paper, the effects of the uniformly applied stress and slight anisotropy of materials on the propagation of elastic waves are theoretically studied, and the effect of this rotation on the acoustical birefringence of two polarized shear waves is also discussed.

TL;DR: In this paper, the authors present a review of some recent theoretical and experimental developments in the field of nonlinear viscoelastic wave propagation in general materials with memory and discuss the correlation of these theoretical predictions with some recent experimental results obtained for a particular polymeric solid.

TL;DR: An alternative to the currently used Perzyna's theory of viscoplasticity for small strains is presented in this paper, where the plastic strain rate vector is normal to the quasistatic yield surface which in turn may not include the origin.

TL;DR: In this paper, the linear equations of piezoelectromagnetism were solved for the case of thickness-shear vibrations of a quartz plate, and the radiation from each face was about 25μW/cm 2 for a shear strain of 10 −5.

TL;DR: In this article, the debonding is caused by stress concentrations that are generated when a system of transient horizontally polarized shear waves strikes the tip of an interface flaw, and it is assumed that rupture of the adhesive bond is preceded by yielding of adhesive.

TL;DR: In this article, an approach to nonlinear free vibrations of elastic structures is developed with the aid of Hamilton's principle and a perturbation procedure, analogous to the theory of initial postbuckling behavior due to Koiter.

TL;DR: In this paper, the authors investigated the optimality of a design with simultaneous occurrence of buckling as a wide Euler column and local buckling of the plate between the stiffeners, and the total amount of material per unit width of the panel was prescribed.

TL;DR: An extension of the hybrid stress finite element model, originally suggested for linear small displacement problems by Pian, to the large deflection problem is presented in this article, where an incremental approach and the concepts of initial stress are employed.

TL;DR: In this article, upper and lower bounds on the spectral and maximum norms of stiffness, flexibility and mass matrices generated from regular and irregular meshes of finite elements were established for second and fourth order problems in one, two and three dimensions discretized with linear, triangular and tetrahedronal elements.

TL;DR: In this article, a crack is assumed to nucleate at a point in an infinite pre-stressed elastic medium, and the crack subsequently grows steadily with subsonic rupture velocities, maintaining the shape of an ellipse.

TL;DR: In this paper, the authors analyzed the effect of imperfection sensitivity of thin-walled compression members to initial waviness of the composing walls and to imperfection of the column axis.

TL;DR: In this paper, an iterative, finite element method for minimum weight design of structures with respect to buckling constraints is presented, which can handle problems characterized by the existence of two fundamental buckling modes at the optimal design.

TL;DR: In this paper, the Laplace transform with respect to time is used to reformulate the problem of stationary crack in a visco-elastic body under plane strain, subjected to dynamic loading.

TL;DR: An elastic-perfectly plastic analysis of a bar under repeated axial loading is presented in this paper, where the bar is taken as a one-dimensional continuum with both ends simply supported.

TL;DR: In this article, the authors present an efficient optimization method based on strain energy distribution and a numerical search for the minimum weight design of structures made from fiber reinforced composite materials, which takes into consideration multiple loading conditions and displacement constraints on the structure.

TL;DR: In this article, it is shown that a true minimum of the system potential energy must consider the idealization geometry as a primary parameter, and a technique for determining the optimum solution is described and is applied to an elementary two-dimensional example.

TL;DR: In this paper, a finite element displacement formulation is used to maximize the first mode natural frequency of a vibrating beam of specified volume with elastically restrained ends and resting on a continuous elastic foundatior subject to a constraint of minimum allowable moment of inertia.

TL;DR: In this paper, conditions for stability of incompressible elastic materials were derived by considering the speeds of small-amplitude plane waves superposed on a finitely deformed state of the material.

TL;DR: In this article, a nonlinear Volterra integral equation is used to characterize a class of nonlinear viscoelastic materials subject to uniaxial effects, and a number of unknown parameters appearing in the mathematical structure of the model is optimally determined such as to minimize a least squares functional of all the experimental data, assumed to be given in terms of relaxation tests performed at various strain levels.

TL;DR: In this paper, a plane strain or plane stress configuration of an inextensible transversely isotropic linear elastic material, with the axis of symmetry in the plane, leads to a harmonic lateral displacement field in stretched coordinates.