Finite Element Technology for Penetration Problems,

Abstract

Finite element methods for penetration mechanics are developed. A pinball contact-impact algorithm which is easily vectorizable has been implemented on partitioned memory SIMD computers. The pinball algorithm is further extended to problems with friction and erosion; Lagrange and augmented Lagrange multiplier methods, and its convergence have also been studied. Multiple-quadrature elements with hourglass control and physical stabilization and multi-time step integration have also been studied. Numerical results of the multiple quadrature elements with stabilization showed what simple stabilization forces can be obtained which are convergent and based on physical parameters. The implementation of this algorithm on massively parallel machines has also been investigated. (AN)

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Document Details

Document Type
Technical Report
Publication Date
Dec 22, 1994
Accession Number
ADA291148

Entities

People

  • Ted Belytschko
  • Wing K. Liu

Organizations

  • Northwestern University

Tags

Communities of Interest

  • Ground and Sea Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Applied Mechanics
  • Computational Mechanics
  • Computational Science
  • Computations
  • Computer Science
  • Computers
  • Engineering
  • Engineers
  • Failure Mode And Effect Analysis
  • Finite Element Analysis
  • Friction
  • Galerkin Method
  • Mathematics
  • Mechanical Engineering
  • Mechanics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Parallel and Distributed Computing.