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Showing papers in "Computer Methods in Applied Mechanics and Engineering in 1982"


Journal ArticleDOI
TL;DR: In this article, an arbitrary Lagrangian-Eulerian kinematical description of the fluid domain is adopted in which the grid points can be displaced independently of fluid motion.

1,392 citations


Journal ArticleDOI
TL;DR: In this article, the authors developed an enlarged exploration of the matrix formulation of finite rotations in space initiated in [1] and showed how a consistent but subtle matrix calculus inevitably leads to a number of elegant expressions for the transformation or rotation matrix T appertaining to a rotation about an arbitrary axis.

637 citations


Journal ArticleDOI
TL;DR: In this paper, the exact virtual work equation for finite element analysis of inelastic problems is presented based on the exact (incremental) virtual work equations, and the procedure for integration of the constitutive rate equations to obtain incremental constitutive equations is based on assumption of a constant strain rate (or straight strain path) during the increment of the Newton-Raphson iteration.

242 citations


Journal ArticleDOI
TL;DR: In this article, a finite element method is presented for the numerical simulation of time-dependent incompressible viscous flows, based on a fractional step approach to the time integration of the Navier-Stokes equations in which only the incompressibility condition is treated implicitly.

217 citations


Journal ArticleDOI
TL;DR: In this paper, the bending behavior of a rectangular plate is analyzed with the help of a refined higher-order theory, based on a higher order displacement model and the three-dimensional Hooke's laws for plate material, giving rise to a more realistic quadratic variation of the transverse shearing strains and linear variation of transverse normal strain through the plate thickness.

204 citations


Journal ArticleDOI
TL;DR: In this paper, an efficient procedure for modeling inelastic behavior in three-dimensional beam-column finite elements is presented, where plastic hinge formation, the interaction of element forces at a hinge, and elastic unloading are taken into account.

189 citations


Journal ArticleDOI
TL;DR: The state of Lagrangian hydrocodes for computing the large deformation dynamic response of inelastic continua is reviewed in the context of engineering computation at the Lawrence Livermore National Laboratory, USA, and the DYNA2D/DYNA3D finite element codes as discussed by the authors.

146 citations


Journal ArticleDOI
TL;DR: In this article, the transient "static" and "dynamic" response of saturated porous medium is analyzed using the finite element method and time integration is achieved by using an implicit/explicit predictor/multicorrector scheme developed by Hughes and co-workers.

146 citations


Journal ArticleDOI
TL;DR: In this paper, the residual stresses and deformations due to arc-welding are determined in a rectangular steel plate, and the thermomechanical response behavior is computed in two steps (i), the heat flow analysis of the entire plate due to the moving electrode, and (ii) the thermo-elastic-viscoplastic response analysis for the transient temperature history at this section.

137 citations



Journal ArticleDOI
TL;DR: In this paper, a study of finite element methods for the analysis of Stokes' problem based on the use of exterior penalty formulations is described, and the results of several numerical experiments with these methods are also given.

Journal ArticleDOI
TL;DR: In this paper, the upwind, hybrid and quadratic finite-difference schemes are evaluated for various laminar, two-dimensional flows, and two new forms of the quadrastic formulation are presented for a uniform grid distribution and tested by reference to the results obtained from the up-wind and hybrid schemes and data from other sources.

Journal ArticleDOI
TL;DR: In this paper, the analysis of incompressible nonlinear elastic solids is considered by a penalty function approach, and the necessary compatibility conditions for developing penalty forms for isotropic non-linear elasticity are addressed.

Journal ArticleDOI
TL;DR: Two iterative solution procedures are applied to the non-linear analysis of reinforced concrete beams and slabs in which concrete cracking is the dominant non- linearity: ‘secant-Newton’, which is a form of accelerated modified Newton-Raphson iteration and ‘arc-length’ which treats the load level as an additional variable while adding a ‘length constraint’.

Journal ArticleDOI
TL;DR: In this article, a quasi-Eulerian finite element formulation for the analysis of transients in a fluid with a pressurized bubble is developed in both two and three dimensions, which can be programmed to move independent of the material, so that the method lends itself well to the treatment of fluid-structure problems.

Journal ArticleDOI
TL;DR: In this article, a number of aspects of reduction methods for solution of large-scale nonlinear problems are discussed including selection of basis vectors for steady-state problems, identification and determination of bifurcation and limit points, and tracing post-limit-point and post-bifurcation point paths using reduction methods.

Journal ArticleDOI
TL;DR: In this paper, a finite element analysis of large deformations in elasto-plastic frames is presented, focusing on the step-by-step analysis of the nonlinear behaviour of such structures.

Journal ArticleDOI
TL;DR: In this paper, the initial equilibrium problem for tension structures is described and a variety of methods for solving it are presented, including two least squares techniques and an extension of the nonlinear displacement analysis method based on a special slip formulation.

Journal ArticleDOI
TL;DR: In this paper, it is shown that most of the necessary quantities for this subsidiary computation are available as computed by-products in the preceding finite element solution procedure, which is shown to be a particular form of a procedure for which superconvergent theoretical error estimates have been proven elsewhere.

Journal ArticleDOI
TL;DR: In this article, the elastic-plastic and plastic stiffness matrices for one-dimensional members were derived using the incremental theory of plasticity and a new method for plastic analysis of plates and solid bodies was developed.

Journal ArticleDOI
TL;DR: In this paper, a theoretical framework for coupled thermomechanical deformations of solids, subject to large as well as inelastic deformations, is developed in pursuance of [4] the theoretical framework appertaining to coupled thermomagnetworks, and the essential feature of the analysis is a consistent natural formulation which encompasses also all thermodynamic aspects.

Journal ArticleDOI
TL;DR: In this article, a planar, elastic rod is considered as a model problem involving both material as well as geometrical nonlinearities; but, as far as possible, the discussion is kept general.

Journal ArticleDOI
TL;DR: In this article, a simple constructive method for determining the spurious modes is presented, followed by an analysis of the discrete stability condition for the penalty method, showing that this condition holds with a parameter that is O( h ).

Journal ArticleDOI
TL;DR: The computer implementation aspects for fluid-structure interaction problems are presented and special attention is placed on finite element fluid modelling, implicit-explicit transient algorithms and finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis.

Journal ArticleDOI
TL;DR: In this paper, a number of complex issues are resolved in a way that allows the incorporation of finite strain, inelastic material behavior into the piecewise numerical construction of solutions in solid mechanics.

Journal ArticleDOI
TL;DR: The superior accuracy of the new method is demonstrated by analysing its propagation characteristics and by comparing its performance on standard test problems with that of some well-known lower order methods.

Journal ArticleDOI
TL;DR: In this article, it was shown that the presence of the fluid has the effect of spreading the mechanical resonance frequencies of the tubes over intervals of varying width, and of introducing eigenfrequencies between these ranges.

Journal ArticleDOI
J. N. Reddy1
TL;DR: In this paper, a penalty-finite-element method was proposed for the problems of wall-driven cavity flow in a cubical box and natural convection in a cubic cavity subjected to differential side heating.

Journal ArticleDOI
TL;DR: By selectively underintegrating the continuous penalty formulation and selecting the penalty parameter e−1 optimally as a function of mesh size h, the ‘large number’ strategy is deduced and it is shown that the optimal rate is preserved.

Journal ArticleDOI
TL;DR: In this article, a new class of optimal structures termed "Prager-structures" were proposed, which satisfy the following design criteria: all members have the same constant stress throughout the system and the total structural weight is minimized with respect to the member layout as well as the location of external loads along their line of action.