Showing papers in "International Journal of Solids and Structures in 1976"

TL;DR: In this paper, a self-consistent method for the elastic moduli of bodies containing randomly distributed flat cracks, with or without fluid in their interiors, is proposed and general concepts are outlined for arbitrary cracks and explicit derivations together with numerical results are given.

TL;DR: In this article, a theory of the behavior of an ideal mass of two-phase soil is developed, which unifies the usually separately considered aspects of analytical soil mechanics of settlement and deformation; time dependent consolidation; and yielding leading to collapse of the mass.

TL;DR: In this paper, a non-linear dynamic thermo-elastic shell theory based on the concepts of a two-dimensional directed continuum is developed, and the constitutive equations are postulated in a general form.

TL;DR: In this article, the authors considered the integration problem for the case of orthotropy, specifically in regard to the factorization of a certain sixth-order master-equation, and the boundary layer aspects of contracted or reduced boundary conditions for the interior solution contribution.

TL;DR: In this paper, a path independent integral formula is developed for the computation of the intensity of the stress singularity at a right corner where one edge is rigidly fixed and the other is free of traction.

TL;DR: In this paper, the shape of the region of integration of these equations is not specified beforehand but is determined from the condition that a certain integral functional attains an extremal value.

TL;DR: In this paper, the displacement formulation of the minimum potential energy can be used with the finite element method to approximate both compressible and incompressible equilibria of linearly elastic, isotropic solids.

TL;DR: In this paper, a discussion of published boundary value problems in structural mechanics, whose intuitive formulation led to incorrect boundary or matching conditions, is presented, along with three examples, using variational methods, how to obtain well posed formulations for problems of this type.

TL;DR: In this paper, the authors investigated axisymmetric torsion of an elastic solid lying within a radially convex region of revolution with plane ends, body force absent, and lateral surface traction-free.

TL;DR: In this paper, the static response of a single elastic cable which is suspended between two points that are not necessarily at the same level is analyzed using a Lagrangian approach, and the tension and displacements are given as functions of a one-dimensional co-ordinate.

TL;DR: In this article, the problem of minimizing the weight of elastic cylindrical bars under given constraints on their torsional and bending rigidities is solved by minimizing the cross-sectional shape of the optimal bar.

TL;DR: In this article, asymptotic methods are used to obtain simple formulas for use in predicting the effective modulus properties of composite materials containing randomly oriented fibers, both in two and three dimensional random orientation.

TL;DR: In this article, combined stress experiments in plasticity and creep of aluminum 1100-0 were conducted to determine the motion of the yield surface in tension-torsion space for three complicated prestressing paths.

TL;DR: In this paper, an exact asymptotic expansion is given for the initial post-bifurcation behavior of a perfect plate compressed into the plastic range, and the imperfection sensitivity is studied through an asymptic analysis of the behavior of the hypoelastic plate that results from neglecting the effect of elastic unloading.

TL;DR: In this paper, an idealized model of the double cantilever problem was developed within the framework of the geometric simplifications and the two dimensional elastostatic theory of plane.

TL;DR: For a periodic elastic composite which consists of a matrix and fibers with finite dimensions (i.e., a three-dimensional problem), this article gave estimates for eigenfrequencies and eigenfunctions.

TL;DR: In this paper, the buckling behavior of an axially compressed elastic-plastic cylindrical shell with an elliptical cross-section was investigated, and it was shown that the elastic material behavior reduces these collapse loads to such an extent that the shells are moderately imperfection-sensitive.

TL;DR: In this article, the elastic fields for line forces and dislocations in the vicinity of a crack tip and of a contained, double-ended planar crack are derived. And the corresponding stress intensity factors are listed.

TL;DR: In this article, a set of kinematic assumptions and constraints are used to develop a formulation for the analysis of thin-walled beams, of arbitrary open cross-section, subjected to arbitrarily large displacements in three-dimensional space.

TL;DR: In this article, the stress distribution in a scarf joint, with arbitrary angle of scarf, is analyzed as a two dimensional elasticity problem in plane stress, both the adherend and the adhesive are assumed to be elastic and isotropic.

TL;DR: In this paper, the method of expansion of three-dimensional displacements in a double power series of the transverse coordinates is employed to find one-dimensional equations applicable to low frequency vibrations of uniform, elastic, isotropic and anisotropic bars.

TL;DR: In this paper, a finite difference scheme for treating the static and dynamic stress fields under plane-strain conditions in the DCB is proposed, and the adequacy of the scheme is established via the static solution by comparing the results obtained numerically with those obtained experimentally.

TL;DR: In this article, the Bailey-Orowan equations for viscous, visco-elastic and non-linear constitutive relationships are evaluated for the limiting case when Δ t → 0.

TL;DR: In this paper, a theory for calculation of the influence of elastic edge restraints on the vibrations and buckling of stiffened cylindrical shells is derived for calculation, and a method of definition of equivalent elastically restrained boundary conditions by use of vibration tests is discussed.

TL;DR: In this paper, a method for reducing the size of finite element systems in dynamics is presented based upon a variational theorem in which it is admissible to describe the inertial properties of structures by way of independent displacement, velocity and momentum fields.

TL;DR: Using the Vainberg's theory of potential operators, variational principles are developed for linear dynamic theory of viscoelasticity in this paper, where the Euler equations of the functional developed herein are the governing field equations, including the boundary and initial conditions as opposed to equivalent set of Integro-differential equations of Gurtin's method.

TL;DR: In this article, a systematic derivation of the expression for the complementary energy in elastic buckling problems is presented, and the resulting eigenvalue problem is shown to be equivalent to, and sometimes more convenient than, the corresponding formulation in terms of the potential energy.

TL;DR: In this paper, the infinitesimal breathing motions of long cylindrical tubes and hollow spherical shells of arbitrary wall thickness subjected to a finite deformation field caused by uniform internal and/or external pressures are investigated.

TL;DR: In this article, a self-consistent method is proposed to determine the non-locality of effective properties or, if the Fourier transforms are considered, their dependence on the wave vector k. The method is applied to the electrostatic field in a heterogeneous body consisting of nearly spherical grains and an equation determining the effective dielectricity is obtained.

TL;DR: In this paper, the problem of minimum compliance of solid plates is formulated in statical terms, and necessary conditions for optimality that distinguish local minima from local maxima are derived from the second variation on the compliance.