TY - GEN
T1 - Error estimation in nonlinear finite element analysis in two and three dimensions
AU - Tetambe, Ravi P.
AU - Saigal, Sunil S.
N1 - Publisher Copyright:
© 1995 American Society of Mechanical Engineers (ASME). All rights reserved.
PY - 1995
Y1 - 1995
N2 - 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.
AB - 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.
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U2 - 10.1115/cie1995-0744
DO - 10.1115/cie1995-0744
M3 - Conference contribution
AN - SCOPUS:85103464188
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 167
EP - 178
BT - ASME 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
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 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
Y2 - 17 September 1995 through 20 September 1995
ER -