Meshfree and particle methods and their applications-Reference-Cited by-同舟云学术

Meshfree and particle methods and their applications

Published:2002-01-01 Issue:1 Volume:55 Page:1-34
ISSN:0003-6900
Container-title:Applied Mechanics Reviews
language:en
Short-container-title:

Author:

Li Shaofan¹,Liu Wing Kam²

Affiliation:

1. Department of Civil & Environmental Engineering, University of California, Berkeley CA 94720; li@ce.berkeley.edu

2. Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Rd, Evanston IL 60208; w-liu@northwestern.edu

Abstract

Recent developments of meshfree and particle methods and their applications in applied mechanics are surveyed. Three major methodologies have been reviewed. First, smoothed particle hydrodynamics (SPH) is discussed as a representative of a non-local kernel, strong form collocation approach. Second, mesh-free Galerkin methods, which have been an active research area in recent years, are reviewed. Third, some applications of molecular dynamics (MD) in applied mechanics are discussed. The emphases of this survey are placed on simulations of finite deformations, fracture, strain localization of solids; incompressible as well as compressible flows; and applications of multiscale methods and nano-scale mechanics. This review article includes 397 references.

Publisher

ASME International

Subject

Mechanical Engineering

Link

http://asmedigitalcollection.asme.org/appliedmechanicsreviews/article-pdf/55/1/1/5438621/1_1.pdf

Reference397 articles.

1. Liu WK , Belytschko T, and Chang H (1986), An arbitrary Lagrangian-Eulerian finite element method for path-dependent materials. Comput. Methods Appl. Mech. Eng. 58, 227–246.

2. Liu WK , Chang H, Chen JS, and Belytschko T (1988), Arbitrary Lagrangian and Eulerian Petrov-Galerkin finite elements for nonlinear problems, Comput. Methods Appl. Mech. Eng. 68, 259–310.

3. Huerta A and Liu WK (1988), Viscous flow with large free surface motion, Comput. Methods Appl. Mech. Eng. 9, 277–324.

4. Liu WK , Chen JS, Belytschko T, and Zhang YF (1991), Adaptive ALE finite elements with particular reference to external work rate on frictional interface, Comput. Methods Appl. Mech. Eng. 93, 189–216.

5. Belyschko T, Liu WK, and Moran B (2000), Nonlinear Finite Elements for Continua and Structures, John Wiley and Sons, New York.

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