Algorithmic tangent matrix approach for mixed hardening model of endochronic plasticity

Su Yuen Hsu; Hayden H. Griffin

doi:10.1016/0045-7825(96)01022-5

Algorithmic tangent matrix approach for mixed hardening model of endochronic plasticity

Su Yuen Hsu, Hayden H. Griffin

Department of Aeronautics and Astronautics

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

6 Citations (Scopus)

Abstract

A three-dimensional (3-D) algorithmic tangent matrix approach is developed for elastoplastic finite element (FE) analysis using the mixed hardening model of the endochronic plasticity. The simple radial return algorithm is implemented in the development of the underlying strain-controlled integration algorithm, which is unconditionally stable. Precise implementation of the radial return is due to the use of the exponential algorithm. The 3-D formulation is applied to FE micromechanics modeling of a undirectional metal matrix composite subjected to non-proportional transverse-normal longitudinal-shear cyclic loading. The predicted macroscopic and microscopic responses consistently demonstrate the computational advantages of the present approach.

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	133
Issue number	1-2
DOIs	https://doi.org/10.1016/0045-7825(96)01022-5
Publication status	Published - 1996 Jun 15

All Science Journal Classification (ASJC) codes

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
Physics and Astronomy(all)
Computer Science Applications

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abstract = "A three-dimensional (3-D) algorithmic tangent matrix approach is developed for elastoplastic finite element (FE) analysis using the mixed hardening model of the endochronic plasticity. The simple radial return algorithm is implemented in the development of the underlying strain-controlled integration algorithm, which is unconditionally stable. Precise implementation of the radial return is due to the use of the exponential algorithm. The 3-D formulation is applied to FE micromechanics modeling of a undirectional metal matrix composite subjected to non-proportional transverse-normal longitudinal-shear cyclic loading. The predicted macroscopic and microscopic responses consistently demonstrate the computational advantages of the present approach.",

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AB - A three-dimensional (3-D) algorithmic tangent matrix approach is developed for elastoplastic finite element (FE) analysis using the mixed hardening model of the endochronic plasticity. The simple radial return algorithm is implemented in the development of the underlying strain-controlled integration algorithm, which is unconditionally stable. Precise implementation of the radial return is due to the use of the exponential algorithm. The 3-D formulation is applied to FE micromechanics modeling of a undirectional metal matrix composite subjected to non-proportional transverse-normal longitudinal-shear cyclic loading. The predicted macroscopic and microscopic responses consistently demonstrate the computational advantages of the present approach.

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Algorithmic tangent matrix approach for mixed hardening model of endochronic plasticity

Abstract

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