Showing papers in "International Journal of Solids and Structures in 1974"

TL;DR: In this article, a system of two-dimensional equations for high frequency motions of crystal plates accounting for coupling of mechanical, electrical and thermal fields is derived for high-frequency motions.

TL;DR: In this paper, a mathematical model was developed to describe the mechanism of normal perforation of projectiles in metallic targets, which was considered to be divided into three interconnected stages, and the analysis enabled the residual velocity to be calculated as a function of the target thickness and its mechanical and physical properties, and of the mass, geometry and impact velocity of the projectile.

TL;DR: In this article, a general nonlinear theory of elastic shells for large deflections and finite strains in reference to a certain natural state is presented, where the expansion of the Cauchy-Green strain tensors and Kirchhoff stress resultants are expressed in terms of these expanded displacement components.

TL;DR: In this article, the authors derived the deflection function corresponding to the optimal plate thickness function from a non-linear, fourth order partial differential eigenvalue problem, derived by variational analysis.

TL;DR: In this article, the authors formulates, by the technique of integral transforms, the solution of a layered half space subjected to a concentrated force which may act either vertically or horizontally in the interior of the system.

TL;DR: Incompressibility is gradually introduced into the finite elements with the mesh refinement in such a way as to balance it with the residual discretization energy in order to ensure fastest convergence to the incompressible solution with best conditioned stiffness matrix to minimize round-off errors in the computations.

TL;DR: In this article, the axisymmetric double contact problem for an elastic layer pressed against a half space by an elastic stamp is considered under the assumptions that the three materials have different elastic properties, the contact along the interfaces is frictionless and only compressive normal tractions can be transmitted across the interfaces, and, in the case of the elastic stamp, the local radius of curvature of the stamp is large compared to the stamp-layer contact radius.

TL;DR: In this article, a solution to the problem of the consolidation of a clay layer resting on a rough rigid base and subject to general surface loading is given, evaluated for the particular cases of a uniformly loaded strip, circle and square for a variety of Poisson's ratio's.

TL;DR: In this paper, an experimental program on ballistic perforation of metallic plates was described, where three kinds of rifles and various steel and aluminum target plates were used to test the performance of the initial and post-perforation velocities.

TL;DR: The boundary layer method proposed by Everstine and Pipkin for the analysis of highly anisotropic materials, such as fibre-reinforced materials, in elastic plane strain is developed and extended also to include plane stress.

TL;DR: For structural systems with a coincident lowest eigenvalue λ c, the influence of imperfections on the buckling of the systems depends to a very large extent upon the distribution of the imperfections as mentioned in this paper.

TL;DR: In this paper, the plane strain problem of a multi-layered composite with parallel cracks is considered and the main objective is to study the interaction between parallel and collinear cracks.

TL;DR: In this paper, an internal variable model of rate-independent plastic behavior based on loading-unloading irreversibility is proposed, which assumes no yield or loading function, stability postulate or specific nature of the internal variables.

TL;DR: A tentative measure of the forces tending to cause crack growth, the apparent crack extension force, is defined within the framework of continuum mechanics as mentioned in this paper, which is specialized to elastic, viscoelastic and elastic-plastic materials.

TL;DR: In this article, the plane elastostatic problem for two bonded half planes containing an arbitrarily oriented crack in the neighborhood of the interface is considered using Mellin Transforms, and the numerical results given in the paper include the stress intensity factors, the strain energy release rates and the probable clevage angles giving the direction of crack propagation.

TL;DR: In this article, a semi-infinite body with an edge crack subjected to far out-of-plane shear is solved by a transformation to a hodograph plane and the Wiener-Hopf technique.

TL;DR: In this paper, the series expansion of displacement in terms of simple thickness modes is used to obtain approximate two-dimensional equations of motion for crystal plates from the three-dimensional theory of elasticity.

TL;DR: In this article, a solution in terms of spherical harmonics and a general numerical solution based upon the field equations are used to determine the power dependence of the field quantities upon the distance from the apex of the cone.

TL;DR: In this paper, it is shown that the problem of elasto-plastic finite deformation is governed by a quasi-linear model irrespective of deformation magnitude, which is based on the Galerkin method.

TL;DR: In this paper, energy-decay inequalities are applied in investigating the decay of end effects in a transversely isotropic circular cylinder subject to torsionless axisymmetric end loads.

TL;DR: In this article, a theorem bounding the residual deflection at any point is presented, and some numerical examples are discussed for continuous structures composed of elastic perfectly-plastic material subjected to cyclic loads.

TL;DR: In this paper, the conceptual difficulties and paradoxes surrounding plastic bifurcation buckling analysis are discussed, including nonconservativeness, loading rate during buckling, and the discrepancy of buckling predictions with use of J 2 flow theory vs. J 2 deformation theory.

TL;DR: In this article, the tensile load transfer problem in a model of an adhesives lap joint is considered and the adhesive layer is regarded as infinitesimally thin and displacement and traction vectors in the adherends are assumed to be continuous across the bond.

TL;DR: In this paper, a higher order linear theory of piezoelectric crystal bars is presented, where a hierarchy of 1-dimensional approximate equations of motion, charge equations of electrostatics, initial and boundary conditions, strain-displacement and electric field-electric potential relations, and macroscopic constitutive equations constitutes the theory.

TL;DR: In this article, the theory of small deformations superposed on finite deformations is applied to determine the critical conditions under which bifurcation solutions (i.e. adjacent equilibrium positions) can exist.

TL;DR: In this article, the constitutive equations which relate partial interaction with shear lag are formulated and solved by series solutions for deflexion and in-plane stress in the slab to satisfy all the known boundary conditions.

TL;DR: In this article, the propagation of acceleration waves in inextensible elastic bodies is studied and the results are interesting and quite unlike the corresponding results for unconstrained bodies, where the reaction stress is compressive and sufficiently large, the corresponding speed of propagation becomes non-real.

TL;DR: In this article, the authors considered an isotropic plate continuous over an intermediate-rigid or elastic-support and free and with no in-plane loads at the outer edge.

TL;DR: In this paper, Likins et al. extended their work on finite element appendage equations for hybrid coordinate dynamic analysis and on the dynamic analysis of a system of hinge-connected rigid bodies with nonrigid appendages to the simulation of non-rigid spacecraft.

TL;DR: In this paper, an unifying approach for deriving the geometric stiffness and mass matrices for finite element hybrid models is presented, which is based on a modified Reissner Principle.