Error estimation in nonlinear finite element analysis in two and three dimensions

Ravi P. Tetambe, Sunil S. Saigal

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents a comparative study of a series of flux projection type error estimators for elasto-plastic and viscoplastic materials undergoing large strains and large rotations. The error estimators are: L2 norms of stress error, total strain error, equivalent strain error, incremental total strain error per load step, and energy rate norm error, respectively. Numerical examples are presented in both two and three dimensions. The information provided by these error estimators may be used for adaptive mesh refinement and for subsequent data transfer (rezoning) in a large deformation analysis. The errorestimators based on the energy rate and the incremental total strain were found to be consistently accurate in the prediction of the discretization error for the two dimensional test cases considered. The L2 norm of incremental strain error estimator consistently gave the most conservative estimate of error in two dimensions. The overall behavior of these error estimators in three dimensions was acceptable, although, not as intuitive as it was in two dimensions.

Original languageEnglish (US)
Title of host publicationASME 1995 15th International Computers in Engineering Conference, CIE 1995 and the ASME 1995 9th Annual Engineering Database Symposium collocated with the ASME 1995 Design Engineering Technical Conferences
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages167-178
Number of pages12
ISBN (Electronic)9780791817018
DOIs
StatePublished - 1995
EventASME 1995 15th International Computers in Engineering Conference, CIE 1995 and the ASME 1995 9th Annual Engineering Database Symposium collocated with the ASME 1995 Design Engineering Technical Conferences - Boston, United States
Duration: Sep 17 1995Sep 20 1995

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume1995-September

Conference

ConferenceASME 1995 15th International Computers in Engineering Conference, CIE 1995 and the ASME 1995 9th Annual Engineering Database Symposium collocated with the ASME 1995 Design Engineering Technical Conferences
CountryUnited States
CityBoston
Period9/17/959/20/95

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation

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