Basis reduction for the shakedown problem for bounded kinematic hardening material. Heitzer, M., Pop, G., & Staat, M. Journal of Global Optimization, 17(1/4):185-200, 2000.
Basis reduction for the shakedown problem for bounded kinematic hardening material [link]Website  abstract   bibtex   
Limit and shakedown analysis are effective methods for assessing the load carrying ca- pacity of a given structure. The elasto–plastic behavior of the structure subjected to loads varying in a given load domain is characterized by the shakedown load factor, defined as the maximum factor which satisfies the sufficient conditions stated in the corresponding static shakedown theorem. The finite element dicretization of the problem may lead to very large convex optimization. For the effective solution a basis reduction method has been developed thatmakes use of the special problem structure for perfectly plastic material. The paper proposes a modified basis reduction method for direct application to the two-surface plasticity model of bounded kinematic hardening material. The considered numerical examples show an enlargement of the load carrying capacity due to bounded hardening.
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 title = {Basis reduction for the shakedown problem for bounded kinematic hardening material},
 type = {article},
 year = {2000},
 identifiers = {[object Object]},
 keywords = {Basis reduction,Convex optimization,FEM,Shakedown analysis,basis reduction,convex optimization,fem,shakedown analysis},
 pages = {185-200},
 volume = {17},
 websites = {http://link.springer.com/article/10.1023/A:1008321026063,http://link.springer.com/10.1023/A:1008321026063},
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 abstract = {Limit and shakedown analysis are effective methods for assessing the load carrying ca- pacity of a given structure. The elasto–plastic behavior of the structure subjected to loads varying in a given load domain is characterized by the shakedown load factor, defined as the maximum factor which satisfies the sufficient conditions stated in the corresponding static shakedown theorem. The finite element dicretization of the problem may lead to very large convex optimization. For the effective solution a basis reduction method has been developed thatmakes use of the special problem structure for perfectly plastic material. The paper proposes a modified basis reduction method for direct application to the two-surface plasticity model of bounded kinematic hardening material. The considered numerical examples show an enlargement of the load carrying capacity due to bounded hardening.},
 bibtype = {article},
 author = {Heitzer, Michael and Pop, Gabriela and Staat, Manfred},
 journal = {Journal of Global Optimization},
 number = {1/4}
}

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