FEM-based shakedown analysis of hardening structures. Phạm, P., T. & Staat, M. Asia Pacific Journal on Computational Engineering, 1(1):4, 12, 2014.
FEM-based shakedown analysis of hardening structures [link]Website  doi  abstract   bibtex   
This paper develops a new finite element method (FEM)-based upper bound algorithm for limit and shakedown analysis of hardening structures by a direct plasticity method. The hardening model is a simple two-surface model of plasticity with a fixed bounding surface. The initial yield surface can translate inside the bounding surface, and it is bounded by one of the two equivalent conditions: (1) it always stays inside the bounding surface or (2) its centre cannot move outside the back-stress surface. The algorithm gives an effective tool to analyze the problems with a very high number of degree of freedom. Our numerical results are very close to the analytical solutions and numerical solutions in literature.
@article{
 title = {FEM-based shakedown analysis of hardening structures},
 type = {article},
 year = {2014},
 keywords = {Kinematic hardening,Ratchetting,Two-surface plas},
 pages = {4},
 volume = {1},
 websites = {http://www.apjcen.com/content/1/1/4,https://apjcen.springeropen.com/articles/10.1186/2196-1166-1-4,https://nbn-resolving.org/urn:nbn:de:101:1-2019080321291662161022},
 month = {12},
 day = {29},
 id = {01d91703-483a-33e6-90d8-df04033c95a3},
 created = {2014-06-02T20:07:49.000Z},
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 last_modified = {2021-05-05T20:38:03.155Z},
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 abstract = {This paper develops a new finite element method (FEM)-based upper bound algorithm for limit and shakedown analysis of hardening structures by a direct plasticity method. The hardening model is a simple two-surface model of plasticity with a fixed bounding surface. The initial yield surface can translate inside the bounding surface, and it is bounded by one of the two equivalent conditions: (1) it always stays inside the bounding surface or (2) its centre cannot move outside the back-stress surface. The algorithm gives an effective tool to analyze the problems with a very high number of degree of freedom. Our numerical results are very close to the analytical solutions and numerical solutions in literature.},
 bibtype = {article},
 author = {Phạm, Phú Tình and Staat, Manfred},
 doi = {10.1186/2196-1166-1-4},
 journal = {Asia Pacific Journal on Computational Engineering},
 number = {1}
}

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