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• W54169966 abstract "The paper deals with the cyclic second law and Il’yushin’s condition for isothermal, ideal, isotropic, elastic-plastic materials at large deformations. The second law is equivalent to the existence of the elastic potential and the nonnegativity of plastic power. The material admits infinitely many free energies: The set of all energy functions is described in terms of a dissipation function. Its convexification provides the optimal lower bound for plastic work; it also figures in the maximal and minimal energies. Il’yushin’s condition is equivalent to the existence of the elastic potential and a new condition that is stronger than the normality of the plastic stretching and the convexity of the stress range. Il’yushin’s condition is also equivalent to the existence of a new kind of energy function called “the initial and final extended energy functions.” Materials of type C are introduced for which the initial extended energy function has additional convexity properties. It can be viewed as a stored energy of a Hencky hyperelastic material associated with the elastic-plastic material." @default.
• W54169966 created "2016-06-24" @default.
• W54169966 creator A5032569256 @default.
• W54169966 date "2004-01-01" @default.
• W54169966 modified "2023-10-13" @default.
• W54169966 title "Work Conditions and Energy Functions for Ideal Elastic-Plastic Materials" @default.
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• W54169966 doi "https://doi.org/10.1007/978-0-8176-8158-6_1" @default.
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