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Published September 1991 | public
Journal Article

Adaptive mesh refinement in strain localization problems

Abstract

An adaptive meshing method tailored to problems of strain localization is given. The adaption strategy consists of equi-distributing the variation of the velocity field over the elements of the mesh. A heuristic justification for the use of variations as indicators is advanced, and possible connections with interpolation error bounds are discussed. Meshes are constructed by Delaunay triangulation. It is shown how the Hu-Washizu principle determines a consistent transfer operator for the state variables. Examples of application are given which demonstrate the versatility of the method.

Additional Information

© 1991 Elsevier. Received 30 August 1990, Revised 20 February 1991. The support of the Office of Naval Research through grant N00014-90-J-1758 is gratefully acknowledged.

Additional details

Created:
August 20, 2023
Modified:
October 18, 2023