Novel variational formulations for nonlocal plasticity |
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Authors: | Francesco Marotti de Sciarra |
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Affiliation: | Dipartimento di Ingegneria Strutturale, Università di Napoli Federico II, via Claudio 21, 80125 Napoli, Italy |
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Abstract: | A nonlocal structural model of softening plasticity is considered in the framework of the internal variable theories of inelastic behaviours of associative type. The finite-step nonlocal structural problem in a geometrically linear range is formulated according to a backward difference scheme for time integration of the flow rule. The related finite-step variational formulation in the complete set of local and nonlocal state variables is recovered. A family of mixed nonlocal variational formulations, with different combinations of state variables, is provided starting from the general variational formulation. The specialization of a mixed variational formulation to existing nonlocal models of softening plasticity, assuming both linear and nonlinear constitutive behaviour, is provided to show the effectiveness of the theory. |
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Keywords: | Nonlocal plasticity Structural models Variational formulations |
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