Showing papers in "International Journal of Mechanical Sciences in 1972"

TL;DR: In this paper, a deformation theory for a solid weakened by numerous cracks or voids was developed and the treatment is completely isotropic and would be suitable whenever the voids are nearly spherical or where the direction of cracks is completely random.

TL;DR: In this article, the method of forming curved finite element shape functions from simple independent generalized strain functions is applied to a rectangular cylindrical shell element, which has 20 degrees of freedom and satisfies the conditions for rigid body displacements and constant strain (in so far as this is allowed by compatibility equations).

TL;DR: In this article, the determination of the maximum load domain that is safe with respect to shakedown is formulated as a mathematical programming problem by means of a finite element technique for plane stress problems.

TL;DR: In this article, a review is given of earlier work on the plastic response to impulsive loading of a beam clamped against end rotations and axial displacements, taking account of small finite transverse displacements and of strain-rate dependence of the yield stress.

TL;DR: In this article, the authors demonstrate that axial compression forces may be induced in the rails because of a rise in temperature, which in turn may reduce the critical velocity for the track to the range of operational velocities of modern high-speed trains.

TL;DR: In this article, the elastic-plastic solution of ball indentation was computed by the finite element method and the computed load-displacement curve, plastic zone development and indentation pressures were in good agreement with those obtained experimentally with heat-treated steel SAE4340.

TL;DR: In this paper, a new creep theory in which the anisotropy in creep is taken into account is described and the results of experiments to verify the theory by loading and unloading in steps, as well as a comparison of the theory with experimental data described in the literature, are given.

TL;DR: In this article, it is shown that the method may lead to grave inaccuracies and even become meaningless if the edge of the plate is free to move in in-plane directions.

TL;DR: In this article, the authors derived minimum weight solutions for both perfectly plastic and elastic grillages of given strength and stiffness, respectively, assuming a preassigned beam depth, and gave a minimum reinforcement volume for perfectly plastic fibre-reinforced plates.

TL;DR: In this paper, a thin shell theory solution for the response of a spherical elastic shell filled with a compressible, inviscid fluid and subjected to normal delta-function loading has been extended to loadings of finite duration.

TL;DR: Theoretical results for the limiting drawing ratios in deep-drawing of cylindrical cups with a flat-headed punch are presented in this article, where the material properties are characterized by the n-value and R-value.

TL;DR: In this article, a simplified form of Cantin and Clough's cylindrical shell element, reducing the size of the element stiffness matrix from 24 × 24 to 20 × 20, is presented.

TL;DR: In this article, a method for finding the normal displacements of the surface of a semi-infinite solid, subjected to arbitrary, transient surface heating is described, and analytical expressions are derived for the displacements due to instantaneous and continuous point and line heat sources.

TL;DR: In this paper, conditions for instability in these two modes are compared over a range of stress states and material properties by examining the roots of linearized dynamic equations, and regions of stress biaxiality ratios are determined for which one or the other deformation mode dominates.

TL;DR: In this paper, the assumption of common shear angle for the cores as used by previous investigators is shown to be quite erroneous in certain cases and is excluded from the present analysis.

TL;DR: In this paper, the precise representation of rigid-body motions in the displacement patterns of thin, curved shell elements is considered, which requires the development of explicit expressions for such motions and the examination of the strain-displacement equations of shell theory with regard to their consistency with the rigid body motions.

TL;DR: In this paper, the problem of a rigid cylinder rolling on a rigid/perfectly plastic half-space was analyzed and three types of deformation pattern can arise. But none of these deformation patterns can be generalized to elastic materials.

TL;DR: In this article, the mesh method of solving one-dimensional nonsteady subsonic flows is extended to cover supersonic flows and heat transfer, and an algorithm is presented for the computation of the Riemann variables with friction, area change, heat transfer and entropy gradients.

TL;DR: In this paper, a lower bound to the limit pressure of a flush oblique cylindrical branch in a spherical pressure vessel is computed using a non-linear programming method and the stress resultants in the branch and vessel are expressed in terms of an independent set of variables and the yield criterion used is one proposed by Ilyushin.

TL;DR: The relationship between stress, strain-rate and temperature is found to be similar to that observed for creep as discussed by the authors, and the activation energies for plastic flow are similar to those reported in the literature for the deformation of high purity aluminum.

TL;DR: In this article, the matrix progression method is used to determine eigenvalues and eigenvectors for the free vibration problem of thin circular cylindrical shells, the basic equations being those of Flugge.

TL;DR: In this article, an analysis of the postbuckled elasto-plastic behavior of a thin-walled box beam in pure bending was made, and the beam was shown to be post-buckled.

TL;DR: The elastic hysteresis theory of Tabor, the elastic-plastic theory of Merwin and Johnson, and the recent rigid-consistent theory of Collins are compared and their respective ranges of application are discussed in this article.

TL;DR: In this article, the significance of the plastic collapse speed and its relation to the bursting speed is investigated for a simple case for rotating cylinders and disks that obey the Tresca yield condition.

TL;DR: In this article, the authors investigated the combined effect of shear stresses and the centrifugal radial and hoop stresses in producing yield within disks of uniform thickness using Tresca's yield criterion and calculated the least time in which a given disk can be run up to its maximum speed without producing plastic deformation.

TL;DR: In this article, a numerical method is developed for the limit analysis of an assembly of three rotationally symmetric shells under pressure, and reasonably close lower and upper bounds may be obtained from this approach for a wide range of pressure vessel intersections.

TL;DR: In this paper, the steady oscillatory behavior of discrete symmetric structural systems with circulatory non-conservative loads is investigated in the region of the flutter point using a two-parameter perturbation approach.

TL;DR: In this paper, a theoretical and experimental study of the elastic-plastic response of certain structures to impact and impulsive load is described, where lead rings are allowed to fall freely on to a flat and pointed sharp anvil, aluminium rings are subjected to the impact of a free falling sharp indenter and thin aluminium cantilevers, rectangular and triangular frames and semicircular arches were subjected to magnetomotive and explosive impulse.

TL;DR: In this article, the data from a number of studies of plastic behavior of anisotropic metal sheets in simple and biaxial tension are reinterpreted, and it is shown that when direct stresses act along the principal directions of the anisotropy, Hill's definition of the generalized stress and strain can be used to predict the material behaviour in biaaxial tension using the information from simple tension tests.