Showing papers in "Computer Methods in Applied Mechanics and Engineering in 2001"

TL;DR: In this paper, the material density field is filtered to enforce a length scale on the field variation and is penalized to remove less effective intermediate densities to resolve the non-existent solution to the solid void topology problem.

TL;DR: In this paper, a methodology to model arbitrary holes and material interfaces (inclusions) without meshing the internal boundaries is proposed, which couples the level set method with the extended finite element method (X-FEM).

TL;DR: This is a tutorial article that reviews the use of partitioned analysis procedures for the analysis of coupled dynamical systems using the partitioned solution approach for multilevel decomposition aimed at massively parallel computation.

TL;DR: The second part of a two-part description of the topology optimization method applied to the design of multiphysics actuators and electrothermomechanical systems in particular is presented in this article.

TL;DR: In this article, the authors describe a pilot design and implementation of the generalized finite element method (GFEM), which makes possible the accurate solution of engineering problems in complex domains which may be practically impossible to solve using the FEM.

TL;DR: In this article, the authors propose to decompose the problem into a fluid and a structural part through an additive decomposition of the space of kinematically admissible test functions, which can be discretised in time by implicit, stable, energy conserving time integration schemes and solved by simple, iterative uncoupled algorithms.

TL;DR: In this article, the authors propose an approach to couple the original 3D equations with a convenient 1D model for the analysis of flows in compliant vessels, which allows for a dramatic reduction of the computational complexity and is suitable for ''absorbing» outgoing pressure waves.

TL;DR: In this article, the authors show how the algorithm can be improved by basing the artificial stress on the signs of the principal stresses in the dispersion relation for elastic waves in a uniform material, and apply the algorithm to oscillating beams, colliding rings and brittle solids.

TL;DR: In this paper, the eXtended Finite Element Method (X-FEM) is used to discretize the equations, allowing for the modeling of cracks whose geometry is independent of the finite element mesh.

TL;DR: In this article, a viscoelastic model for the fully three-dimensional stress and deformation response of fiber-reinforced composites that experience finite strains is presented, where the relaxation and/or creep response of each compound of the composite is modeled separately and the global response is obtained by an assembly of all contributions.

TL;DR: A variational formulation is developed which allows, among others, numerical treatment by the finite element method; a theory of a posteriori error estimation and corresponding adaptive approaches based on practical experience can be utilized.

TL;DR: In this article, a two-scale modeling scheme for the analysis of heterogeneous media with fine periodic microstructures is generalized by using relevant variational statements, which can be unified in association with the homogenization procedure for general nonlinear problems.

TL;DR: In this paper, the authors present a mathematical framework for assessing some important numerical properties of the chosen partitioned procedure, and predicting its performance for realistic applications based on the estimation of the energy that is artificially introduced at the fluid/structure interface by the staggering process.

TL;DR: In this article, a partition of unity finite element method and hp-cloud method for dynamic crack propagation is presented, where the approximation spaces are constructed using a partition-of-unity (PU) and local enrichment functions.

TL;DR: The paper presents applications of the method to complex, steady-state and time-dependent problems which highlight its anisotropic, feature-capturing abilities.

TL;DR: A finite element formulation for the numerical solution of the stationary incompressible Navier–Stokes equations including Coriolis forces and the permeability of the medium using the algebraic version of the sub-grid scale approach.

TL;DR: A study on the applicability of different kinds of neural networks for the probabilistic analysis of structures, when the sources of randomness can be modeled as random variables, is summarized.

TL;DR: In this paper, the utility of a discrete singular convolution algorithm for solving certain mechanical problems is explored, including plate vibrations and incompressible flows, and numerical results indicate that the present approach is very accurate, efficient and reliable for solving the aforementioned problems.

TL;DR: In this paper, the authors developed a numerical simulation system for the clinical study of a cerebral aneurysm, which consists of three processes: pre-processing, numerical simulation and post-processing.

TL;DR: In this paper, the authors consider topology optimization of elastic continua, where the elasticity tensor is assumed to depend linearly on the design function (density) as in the variable thickness sheet problem.

TL;DR: This work considers large-scale topology optimization of elastic continua in 3D using the regularized intermediate density control introduced in [1] using the nested approach, i.e., equilibrium is solved at each iteration.

TL;DR: This paper provides a theoretical analysis of the reproducing kernel particle method (RKPM), which belongs to the family of meshfree methods, and introduces the concept of a regular family of particle distributions, which can be used to yield error estimates for RKP solutions of BVPs.

TL;DR: In this paper, a fully coupled dynamic model is presented for the analysis of water and air flow in deforming porous media, in fully or partially saturated conditions, and the results of a full dynamic analysis are shown and discussed.

TL;DR: In this article, a new LPIM formulation is proposed to deal with fourth-order boundary-value and initial-value problems for static and dynamic analysis (stability, free vibration and forced vibration) of beams.

TL;DR: In this article, a computational procedure is developed to solve problems of viscous incompressible flows under large free surface motions using the Lagrangian-Eulerian (ALE) method.

TL;DR: In this paper, a finite element method for the solution of 3D incompressible magnetohydrodynamic (MHD) flows is presented, where a Galerkin-least-squares variational formulation is used allowing equal-order approximations for all unknowns.

TL;DR: In this paper, a 3D finite element analysis program is developed for fluid-structure interaction problems with structural buckling and large domain changes. But the authors focus on the simulation of the pulsation of a 2D artifical heart.

TL;DR: In this article, a mathematical model for analyzing strain localization in frictional solids exhibiting displacement jumps is presented, which is cast within the framework of finite element analysis employing the assumed enhanced strain method, circumvents mesh dependence issues often associated with rate-independent plasticity models.

TL;DR: In this paper, the authors developed a model in a general multi-variant framework for single crystals that is based upon lattice correspondence variants and the use of dissipation arguments for the generation of specialized evolution equations.

TL;DR: In this paper, a class of time-stepping algorithms for nonlinear elastodynamics that exhibits controllable numerical dissipation in the high-frequency range required for the robust solution of the resulting numerically stiff systems is presented.