In the present paper, some propositions usually considered as independent axioms in plasticity theory, including II'yushin's postulate, are obtained as consequences of a general axiomatic structure of continuum damage mechanics. This fact indicates that continuum damage mechanics and plasticity theory have common conceptual foundations, notwithstanding that their phenomenological manifestations are different for many aspects. The formal framework used is able to consider different plasticity constitutive models and some of the non-classical situations discussed recently in technical literature on the basic concepts of plasticity theory, as the loss of convexity of the yield surface and the violation of II'yushin's postulate in non-associative plasticity. A comparative analysis with other proposals on foundations of plasticity in technical literature is developed.
On the axioms of plasticity / Paolo Maria Mariano. - In: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES. - ISSN 0020-7683. - STAMPA. - 35:(1998), pp. 1313-1324. [10.1016/S0020-7683(97)00118-2]
On the axioms of plasticity
Paolo Maria Mariano
1998
Abstract
In the present paper, some propositions usually considered as independent axioms in plasticity theory, including II'yushin's postulate, are obtained as consequences of a general axiomatic structure of continuum damage mechanics. This fact indicates that continuum damage mechanics and plasticity theory have common conceptual foundations, notwithstanding that their phenomenological manifestations are different for many aspects. The formal framework used is able to consider different plasticity constitutive models and some of the non-classical situations discussed recently in technical literature on the basic concepts of plasticity theory, as the loss of convexity of the yield surface and the violation of II'yushin's postulate in non-associative plasticity. A comparative analysis with other proposals on foundations of plasticity in technical literature is developed.File | Dimensione | Formato | |
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