Showing papers in "Computer Methods in Applied Mechanics and Engineering in 1997"

TL;DR: The scaled boundary finite-element method, alias the consistent infinitesimal finite element cell method, is developed in this paper starting from the governing equations of linear elastodynamics and converges to the exact solution in the finite element sense in the circumferential directions.

TL;DR: In this paper, generalized plasticity is adopted as a framework for the development of one-and three-dimensional constitutive models for shape-memory alloys, such as superelasticity, different material behavior in tension and compression, and the single-variant-martensite reorientation process.

TL;DR: In this article, a constitutive model was developed to reproduce the superelastic behavior of shape-memory alloys at finite strains, and the numerical implementation within a finite-element scheme was discussed in detail.

TL;DR: In this article, the authors generalize the classical mathematical homogenization theory for heterogeneous medium to account for eigenstrains and derive a close form expression relating arbitrary eigen-strains to the mechanical fields in the phases.

TL;DR: In this paper, a Lagrangian finite element model of ductile penetration is developed, and an explicit contact/friction algorithm is used to treat the multi-body dynamics.

TL;DR: In this article, a locking-free finite element model using the form of the exact solution of the Timoshenko beam theory is developed, which yields exact nodal values for the generalized displacements for constant material and geometric properties of beams.

TL;DR: A simple core library is described which aids program development by isolating repetitive tasks into optimized classes that address the reduction of interdependence in the code project, and facility expandability in the long term.

TL;DR: In this paper, a space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations is presented for the analysis of free surface flows, moving spatial configurations and deforming fluid-structure interfaces.

TL;DR: A domain decomposition finite element technique for efficiently generating lower and upper bounds to outputs which are linear functionals of the solutions to symmetric or nonsymmetric second-order coercive linear partial differential equations in two space dimensions is presented.

TL;DR: In this article, the authors discuss some aspects of the three-dimensional finite rotations pertinent to the formulation and computational treatment of the geometrically exact structural theories and propose a choice featuring an incremental rotation vector.

TL;DR: The tool developed for 3D simulation of fluid-particle interactions with the number of particles reaching 100 can be used for simulation of this class of problems with computing durations kept at acceptable levels.

TL;DR: In this article, a new damage detection algorithm is formulated to utilize an original analytical model and frequency response function (FRF) data measured prior and posterior to damage for structural damage detection, which can be used to determine a damage vector indicating both location and magnitude of damage from perturbation equations of FRF data.

TL;DR: In this paper, a variational formulation of the Navier-Stokes problem that accommodates the use of equal velocity-pressure finite element interpolations is proposed. But the authors do not consider the effect of the difference between two discrete Laplacian operators computed in a different manner.

TL;DR: The method, which represents a significant departure from traditional homogenization methods, provides a systematic and rigorous approach towards resolving the effects of microstructure of different scales on the macroscopic response of complex heterogeneous structures.

TL;DR: In this paper, detailed finite element models are used for predicting the free-vibration response of infinitely long and rectangular sandwich panels, where the panels considered have square-cell honeycomb core and simply supported edges.

TL;DR: In this paper, a mixture theory that equilibrates the traction across the material interface and limits the shear stress according to a Coulomb friction law is developed, making the mixture theory the natural starting point in the treatment of the contact inequalities.

TL;DR: The main components needed for an adaptivehp-version finite element algorithm are discussed: an adaptive hp-refinement strategy, effective methods for constructing conforming hp-approximations, and, efficient solvers for the large, ill-conditioned systems of linear equations.

TL;DR: In this article, the authors consider numerical solutions of second-order elliptic partial differential equations, such as Laplace's equation, or linear elasticity, in two-dimensional, non-convex domains by the element-free Galerkin method (EFG).

TL;DR: In this paper, a meshless Petrov-Galerkin formulation is developed in which derivatives of the trial functions are obtained as a linear combination of derivatives of Shepard functions, and conditions on test functions and trial functions for nonintegrable pseudo-derivatives for Petrov Galerkin method which pass the patch test.

TL;DR: In this article, the authors considered the Galerkin finite element method for partial diffferential equations in two dimensions, where the finite-dimensional space used consists of piecewise (isoparametric) polynomials enriched with bubble functions.

TL;DR: In this article, the authors describe imperfections as nodal degrees of freedom at the element level, which are implemented by isoparametric shape functions in a finite shell element including finite rotations and thickness stretch.

TL;DR: In this article, the authors deal with the formulation of beam elements for the numerical analysis of instability phenomena in frame-type structures, for both two-dimensional and three-dimensional problems and the similarities between the two types are outlined.

TL;DR: In this article, an Arbitrary Lagrangian-Eulerian method is used to accurately model the sublimation front of the freeze-drying process and both the primary and secondary drying stages of the process are modelled.

TL;DR: In this paper, the authors developed essentially non-oscillatory finite volume methods on conforming triangulations for the numerical solution of hyperbolic conservation laws, which can be theoretically predicted.

TL;DR: In this article, an iterative method of determining the limit state of a perfectly plastic body for the Von Mises yield condition is described, where a sequence of incompressible linear elastic solutions are defined with a spatially varying shear modulus.

TL;DR: In this article, a stochastic heat transfer variational principle is suggested for transient and steady-state heat problems, which allows incorporation of system uncertainties into the conventional finite element equations, which are solved for the first two probabilistic moments of the nodal random temperature field.

TL;DR: In this article, a numerical algorithm using equal-order linear finite element and fractional four-step methods is presented for the analyses of incompressible fluid flow and heat transfer problems, where the SUPG (streamline upwind Petrov-Galerkin) method is used for the weighted formulation of Navier-Stokes equations.

TL;DR: TRIC as discussed by the authors is a 3-node shear-deformable isotropic and composite flat shell element suitable for large-scale linear and nonlinear engineering computations of thin and thick anisotropic plate and complex shell structures.