scispace - formally typeset
Search or ask a question

Showing papers in "Computer Methods in Applied Mechanics and Engineering in 1980"


Journal ArticleDOI
TL;DR: Problems for the solution of incremental finite element equations in practical nonlinear analysis in static analysis and in dynamic analysis using implicit time integration are described and evaluated.

289 citations


Journal ArticleDOI
TL;DR: Staggered solution procedures for two-field problems governed by semidiscrete second-order coupled differential equations that find application in the modeling of structure-fluid, structure-soil and structure-structure interaction are formulated and applied.

250 citations


Journal ArticleDOI
TL;DR: In this paper, a finite element formulation of problems of limit loads in soil mechanics via limit analysis theory is presented, followed by a numerical formulation for both the static and kinematic approaches of the ultimate load.

234 citations


Journal ArticleDOI
TL;DR: In this article, the effect of member flexibility is modeled by applying a structural dynamics stiffness technique, using the assumption of superposition (uncoupling) of gross rigid-body motion and a small elastic deformation.

157 citations


Journal ArticleDOI
TL;DR: In this article, a general numerical method is developed for determining the dynamic response of beam structures to rapidly applied thermal loads, which consists of formulating and solving the dynamic problem in the Laplace transform domain with the aid of dynamic stiffness influence coefficients defined for a beam element in that domain and of obtaining the response by a numerical inversion of the transformed solution.

142 citations


Journal ArticleDOI
TL;DR: In this article, the authors examined the performance of three steady-state finite difference formulations, namely: (i) the hybrid central/upwind differencing scheme, 2.

133 citations


Journal ArticleDOI
TL;DR: In this article, the subspace iteration method for solving symmetric eigenproblems in computational mechanics is considered and effective procedures for accelerating the convergence of the basic subspace iterative method are presented.

125 citations


Journal ArticleDOI
TL;DR: In this article, a simple rational approach is presented for developing micropolar beam models for large repetitive beam-like planar lattices with rigid joints, which have independent microrotation, and displacement fields and are characterized by their strain and kinetic energies.

87 citations


Journal ArticleDOI
TL;DR: In this paper, three major theoretical aspects of variable-step explicit integration procedures are proposed and analyzed, including basic fixed-step integration formulas for no damping, diagonal damping and nondiagonal damping problems; adjustment of the basic formulas to accommodate step changes; and step size selection criteria.

66 citations


Journal ArticleDOI
TL;DR: In this article, a modified version of the variable time step method is proposed and the results computed from various methods clearly show the superiority of the present method over the others. And the numerical results are also compared with those obtained from the integral method and are found to be in very good agreement.

61 citations



Journal ArticleDOI
TL;DR: In this paper, the authors developed a model for the static, free vibration and buckling analysis of repetitive spatial beam-like lattices with rigid joints, which is characterized by their strain energy, potential energy due to initial stresses and kinetic energy from which the governing differential equations and boundary conditions can be derived.

Journal ArticleDOI
TL;DR: In this article, the same results were obtained for linear strain triangles and for all three methods of energy variation, of equivalent strength, and of fitting asymptotic series to nodal displacements.

Journal ArticleDOI
TL;DR: In this article, the authors extended the considerations of part I concerning large strain inelastic phenomena into the dynamic domain using the homogeneous, natural presentation of the strain and stress states, the description of material behaviour is discussed on the basis of thermodynamics.


Journal ArticleDOI
TL;DR: In this article, a procedure of deriving stiffness matrices for finite elements based on the patch-test using the natural method is described, which is tested on the construction of a triangular plate-bending element TRUNC, the natural stiffness of which appears as a simple hyperdiagonal matrix.

Journal ArticleDOI
TL;DR: In this paper, a method for solving the linear hydrodynamic equations for the sea, using an expansion of the horizontal component of current in terms of depth-varying functions (the basis functions) with coefficients that vary with time and horizontal position, is presented.

Journal ArticleDOI
TL;DR: In this paper, the optimal design of archgrids for a combination of given external loads and self-weight is discussed, and three different methods are described and illustrated with examples of one-and two-way arch systems.

Journal ArticleDOI
TL;DR: The variable-step central difference (VSCD) as discussed by the authors is implemented as a stand-alone software package that is easily accessed by existing structural dynamics analyzers (i.e., finite element, finite difference discrete element computer codes) through a common data structure, input/output (I/O) manager and a few user-supplied control and interface routines.

Journal ArticleDOI
TL;DR: In this paper, an extension of the range of application of the simple triangular shell element evolved in [1] to the domain of large inelastic deformations is presented, based on ideas of physical lumping which contain a simple mechanical interpretation.

Journal ArticleDOI
TL;DR: In this article, two alternative ways of performing the shakedown analysis of structures subjected to variable repeated loads are presented, one enables one to check whether the structure shakes down (i.e. responds elastically after a few elastoplastic cycles) or not.



Journal ArticleDOI
TL;DR: In this paper, a three-dimensional finite difference calculation procedure for problems characterised by a predominant flow direction except for a small but significant reverse-flow region is described, which is more general than the parabolic and partially parabolic methods which cannot handle flow reversals.

Journal ArticleDOI
TL;DR: In this paper, a procedure to obtain steady state heat, mass and fluid flows in the melt during Czochralski crystal growth is described, which is satisfactorily applied to the isothermal fluid flows caused by crystal rotation and to the nonisothermal fluid flow caused by combined free and forced convection.

Journal ArticleDOI
TL;DR: There is potential for continuous transition between various algorithms for structural optimization by integrating into both the approaches the state space design sensitivity analysis that has proven to be very general and efficient.

Journal ArticleDOI
TL;DR: In this paper, an asymptotic method based on Koiter's elastic stability theory is presented for geometrically nonlinear structure analysis; these structures are subjected to a proportional applied load system.

Journal ArticleDOI
TL;DR: In this article, a polynomial of arbitrary degree is used to represent the variation of the intensity of the source distribution over each element and a new technique has been developed for the calculation of the body radius in the authors' iterative inverse problem scheme.

Journal ArticleDOI
TL;DR: In this article, a mathematical programming method is proposed for determining the complete history of (generalized) stresses and strains during a loading process for a class of elastic-plastic structures, based on a pivoting procedure similar to the simplex method for a linear program.

Journal ArticleDOI
TL;DR: In this paper, an implicit scheme for solving Maxwell's equations is proposed, in which space discretization is obtained by the finite element method, while Newmark's scheme provides the time discretisation.