Implicit Damping Iterative Algorithm to Solve Elastoplastic Static and Dynamic Equations
Joint Authors
Zhou, Jikai
Liang, Guoping
Ma, Huai-Fa
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-31
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper presents an implicit damping iterative algorithm to simultaneously solve equilibrium equations, yield function, and plastic flow equations, without requiring an explicit expression of elastoplastic stiffness matrices and local iteration for “return mapping” stresses to the yield surface.
In addition, a damping factor is introduced to improve the stiffness matrix conformation in the nonlinear iterative process.
The incremental iterative scheme and whole amount iterative scheme are derived to solve the dynamical and static and dynamical elastoplastic problems.
To validate the proposed algorithms, computation procedures are designed and the numerical tests are implemented.
The computational results verify the correctness and reliability of the proposed implicit iteration algorithms.
American Psychological Association (APA)
Ma, Huai-Fa& Zhou, Jikai& Liang, Guoping. 2014. Implicit Damping Iterative Algorithm to Solve Elastoplastic Static and Dynamic Equations. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1039675
Modern Language Association (MLA)
Ma, Huai-Fa…[et al.]. Implicit Damping Iterative Algorithm to Solve Elastoplastic Static and Dynamic Equations. Journal of Applied Mathematics No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1039675
American Medical Association (AMA)
Ma, Huai-Fa& Zhou, Jikai& Liang, Guoping. Implicit Damping Iterative Algorithm to Solve Elastoplastic Static and Dynamic Equations. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1039675
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1039675