Showing papers in "Computer Methods in Applied Mechanics and Engineering in 2004"

TL;DR: This paper introduces and analyze a finite element method for elasticity problems with interfaces and proposes a general approach that can handle both perfectly and imperfectly bonded interfaces without modifications of the code.

TL;DR: In this article, a bridging domain method for coupling continuum models with molecular models is described, where the continuum and molecular domains are overlapped by bridging sub-domains, and the Hamiltonian is taken to be a linear combination of the continuous and molecular Hamiltonians.

TL;DR: In this paper, a second-order computational homogenization approach is applied for the multi-scale analysis of simple shear of a constrained heterogeneous strip, where a pronounced boundary size effect appears.

TL;DR: These are the first solutions that deal with particulate flows with very flexible solids and the higher-ordered RKPM delta function enables the fluid domain to have nonuniform spatial meshes with arbitrary geometries and boundary conditions.

TL;DR: A large deformation particle method based on the Krongauz–Belytschko corrected-gradient meshfree method with Lagrangian kernels with results obtained for a variety of problems that compare this method to standard forms of SPH, the Randles–Libersky correction and large deformed versions of the element-free Galerkin method.

TL;DR: In this article, the authors present a simultaneous solution procedure for fluid-structure interaction problems, where the structural motion is described by geometrically nonlinear elastodynamics, and the fluid is modeled by the incompressible Navier-Stokes equations.

TL;DR: This paper presents a general overview on the existing techniques to enforce essential boundary conditions in Galerkin based mesh-free methods and special attention is paid to the mesh- free coupling with finite elements for the imposition of prescribed values and to methods based on a modification of theGalerkin weak form.

TL;DR: In this article, a color level-set model is proposed for structural shape and topology optimization in a multi-material domain, which is an alternative approach to the popular homogenization-based methods of rule of mixtures for multiphase modeling.

TL;DR: This introductory article briefly review the essential tools used by nanoscale researchers, and summarizes the strengths and limitations of currently available multiple-scale techniques, where the emphasis is made on the latest perspective approaches, such as the bridging scale method, multi-scale boundary conditions, and multi- scale fluidics.

TL;DR: It is shown that block-triangular approximations of the Jacobian matrix, obtained by neglecting selected fluid–structure interaction blocks, provide good preconditioners for the solution of the linear systems with GMRES.

TL;DR: In this article, the elastic moduli of polymer-carbon nanotube composites are examined by molecular dynamics simulations of a single-walled carbon-nanotube embedded in polyethylene.

TL;DR: A segment-to-segment contact approach based on the mortar method is developed and demonstrated, which appears to be much more robust than the node-on-se segment approach by eliminating the over-constraint.

TL;DR: Despite the fact that modern views of the subject have been under development for nearly a decade, much remains to be done toward developing concrete approaches for implementing V&V procedures for particular applications.

TL;DR: This paper gives a definition of compatible flow and transport schemes, with emphasis on two popular types of transport algorithms, the streamline diffusion method and discontinuous Galerkin methods.

TL;DR: In this article, the robust design of structures with stochastic parameters is studied using optimization techniques and the robustness of the feasibility is also taken into account by involving the variability of the structural response in the constraints.

TL;DR: In this article, a stabilization technique for finite element methods for convection-diffusion-reaction equations, originally proposed by J. Douglas, Jr. and T. Dupont, was presented.

TL;DR: An order-N atomic-scale finite element method (AFEM) is proposed, which is as accurate as molecular mechanics simulations, but is much faster than the widely usedOrder-N 2 conjugate gradient method.

TL;DR: In this article, a combination of discrete element method (DEM) and finite element method for dynamic analysis of geomechanics problems is presented, which can employ spherical (or cylindrical in 2D) rigid elements and finite elements in the discretization of different parts of the system.

TL;DR: In this article, a mathematical framework for deformation and strain localization analyses of partially saturated granular media using three-phase continuum mixture theory is presented, which degenerates to the classical modified Cam-Clay model of soil mechanics in the limit of full saturation.

TL;DR: In this article, the simulation of the isolated chips involving material failure due to shear bands is used as a test problem to investigate the strength and weakness of the different approaches to implementing contact in multi-material Eulerian calculations.

TL;DR: The Extended immersed boundary method (EIBM) as discussed by the authors has several distinct features in comparison with the immersed boundary (IB) method, where the interaction between the immersed elastic boundary and the surrounding viscous fluid is replaced with an equivalent body force distribution within the fluid domain.

TL;DR: This work develops a segment-to-segment contact approach based on the mortar method that was applicable to large deformation mechanics and proved extremely robust since it eliminated the over-constraint which caused “locking” and provided smooth force variations in large sliding.

TL;DR: In computation of fluid–structure interactions involving large displacements, a mesh update method composed of mesh moving and remeshing-as-needed is used, able to limit mesh distortion in thin layers of elements placed near fluid-structure interfaces.

TL;DR: In this article, a multiscale postbuckling analysis of carbon nanotubes is presented, which is based on a multi-scale partition, which consists of a coarse scale component represented by mesh-free approximation, and a fine scale component to be resolved from molecular dynamics.

TL;DR: In this article, a reduced model for the effective behavior of nonlinear composites, such as metal-matrix composite materials, has been recently proposed by the authors, which extends and improves on the Transformation Field Analysis of Dvorak by considering nonuniform transformation strains, also called plastic modes.

TL;DR: The material point method as discussed by the authors is a variant of the finite element method formulated in an arbitrary Lagrangian-Eulerian description of motion, where the motion of material points, representing subregions of the analysed continuum, is traced against a background of the computational element mesh.

TL;DR: In this paper, a triaxial constitutive model is developed for elastoplastic behavior of geomaterials, which accounts for tensile damage, and a number of load histories are examined to illustrate the performance of the material model in axial tension, compression, shear and confined compression.

TL;DR: In this paper, the authors investigate the deformation and the localization behavior of unsaturated soil and exhibit the influence of the solid-fluid coupling on the localization analysis, which is a crucial issue and has thus been intensively investigated in the last decades.

TL;DR: This paper presents a detailed introduction to the available technologies in the field of multiple-scale analysis, and focuses on methods which aim to couple molecular-level simulations to continuum level simulations (such as finite element and meshfree methods).