0
REVIEW ARTICLES

Exact Representations on Artificial Interfaces and Applications in Mechanics

[+] Author and Article Information
Dan Givoli

Department of Aerospace Engineering, Technion–Israel Institute of Technology, Haifa 32000, Israel

Appl. Mech. Rev 52(11), 333-349 (Nov 01, 1999) (17 pages) doi:10.1115/1.3098920 History: Online April 14, 2009

Abstract

In various areas of applied mechanics, there are instances where it is necessary or beneficial to represent the behavior of a mechanical system on an artificial boundary, or artificial interface, which is introduced into the system. Examples include, among others, the computational treatment of mechanical problems in infinite media, the solution of crack problems in fracture mechanics, the dynamical analysis of a mechanical system attached to a number of smaller subsystems, iterative domain decomposition methods, and the mathematical formulation of inverse problems. The representation of the solution on the interface may be approximate or exact. This article is concerned with exact representations. It explains the benefit in using such representations, compares them to approximate representations in various respects, surveys work that has been done in this field, and highlights applications in applied mechanics. It is the author’s opinion that despite the fact that approximate interface representations are more popular than exact ones, the latter have definite advantages in many situations. References cited in this review article number 163.

Copyright © 1999 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In