An algorithm for large-scale computational finite-deformation plasticity

Sia Nemat-Nasser; Yeou Fong Li

doi:10.1016/0167-6636(94)90023-X

An algorithm for large-scale computational finite-deformation plasticity

Sia Nemat-Nasser
, Yeou Fong Li

Department of Civil Engineering

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

This paper describes the results of an extended version of a new explicit algorithm recently developed by Nemat-Nasser and co-workers for stiff phenomenological finite-deformation rate-independent elastoplasticity and rate-dependent elastoviscoplasticity. The extended algorithm incorporates effects of large strains and rotations, while continuing to include possible combined isotropic and kinematic workhardening, as well as thermal softening and noncoaxiality of the plastic strain rate and the deviatoric stress. It is based on a plastic-predictor-followed-by-elastic-corrector methodology and produces accurate and stable results, which are practically (i.e., in a finite-element application) independent of the magnitude of the time or strain increment. It is shown that the algorithm provides accurate results for relatively large strain and rotation increments. The result is exact for rigid-body rotation. It also works well for problems with nonproportional loading.

Original language	English
Pages (from-to)	231-264
Number of pages	34
Journal	Mechanics of Materials
Volume	18
Issue number	3
DOIs	https://doi.org/10.1016/0167-6636(94)90023-X
State	Published - Aug 1994

Bibliographical note

Funding Information:
This work has been supported by the U.S. Army Research Office under contracts No. DAAL-03-86-K-0169 and No. DAAL-03-92-G-0108 with the University of California, San Diego. The computations reported here were carried out on a CRAY-YMP at the San Diego Supercomputer Center, access to which was made possible by a National Science Foundation program. The corporation and assistance of the staff at the San Diego Supercomputer Center are greatly appreciated. The authors wish to thank Dr. B. Balendran for helpful discussions.

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10.1016/0167-6636(94)90023-X

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title = "An algorithm for large-scale computational finite-deformation plasticity",

abstract = "This paper describes the results of an extended version of a new explicit algorithm recently developed by Nemat-Nasser and co-workers for stiff phenomenological finite-deformation rate-independent elastoplasticity and rate-dependent elastoviscoplasticity. The extended algorithm incorporates effects of large strains and rotations, while continuing to include possible combined isotropic and kinematic workhardening, as well as thermal softening and noncoaxiality of the plastic strain rate and the deviatoric stress. It is based on a plastic-predictor-followed-by-elastic-corrector methodology and produces accurate and stable results, which are practically (i.e., in a finite-element application) independent of the magnitude of the time or strain increment. It is shown that the algorithm provides accurate results for relatively large strain and rotation increments. The result is exact for rigid-body rotation. It also works well for problems with nonproportional loading.",

author = "Sia Nemat-Nasser and Li, \{Yeou Fong\}",

note = "Funding Information: This work has been supported by the U.S. Army Research Office under contracts No. DAAL-03-86-K-0169 and No. DAAL-03-92-G-0108 with the University of California, San Diego. The computations reported here were carried out on a CRAY-YMP at the San Diego Supercomputer Center, access to which was made possible by a National Science Foundation program. The corporation and assistance of the staff at the San Diego Supercomputer Center are greatly appreciated. The authors wish to thank Dr. B. Balendran for helpful discussions.",

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N2 - This paper describes the results of an extended version of a new explicit algorithm recently developed by Nemat-Nasser and co-workers for stiff phenomenological finite-deformation rate-independent elastoplasticity and rate-dependent elastoviscoplasticity. The extended algorithm incorporates effects of large strains and rotations, while continuing to include possible combined isotropic and kinematic workhardening, as well as thermal softening and noncoaxiality of the plastic strain rate and the deviatoric stress. It is based on a plastic-predictor-followed-by-elastic-corrector methodology and produces accurate and stable results, which are practically (i.e., in a finite-element application) independent of the magnitude of the time or strain increment. It is shown that the algorithm provides accurate results for relatively large strain and rotation increments. The result is exact for rigid-body rotation. It also works well for problems with nonproportional loading.

AB - This paper describes the results of an extended version of a new explicit algorithm recently developed by Nemat-Nasser and co-workers for stiff phenomenological finite-deformation rate-independent elastoplasticity and rate-dependent elastoviscoplasticity. The extended algorithm incorporates effects of large strains and rotations, while continuing to include possible combined isotropic and kinematic workhardening, as well as thermal softening and noncoaxiality of the plastic strain rate and the deviatoric stress. It is based on a plastic-predictor-followed-by-elastic-corrector methodology and produces accurate and stable results, which are practically (i.e., in a finite-element application) independent of the magnitude of the time or strain increment. It is shown that the algorithm provides accurate results for relatively large strain and rotation increments. The result is exact for rigid-body rotation. It also works well for problems with nonproportional loading.

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An algorithm for large-scale computational finite-deformation plasticity

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