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A modified associated flow rule in classical plasticity | ||
| journal of kerbala university | ||
| Article 1, Volume 6, Issue 1, 2010, Pages 252-264 PDF (0 K) | ||
| Abstract | ||
| In this paper the flow theory in classical plasticity is extended to micro-scale plasticity, which is one of the most important active fields in micro-scale industries, where the directional derivative of plastic strain affects significantly on material's hardening. This is accomplished throughout proposing a new strain-hardening rule based on some facts from dislocations theory, where this proposed hardening rule enables the researcher from obtaining constitutive stress-strain relations for materials of micro-scale size undergoing plastic loading. Simulations are performed to show the plastic behavior of several theoretical models with micro-scale sizes based on the modified flow rule developed in this paper, and the results obtained from these simulations show good agreement with published results available in the literature. This agreement proves the validity of the extension of the classical flow theory proposed in this paper and the ability of the modified flow rule to describe the plastic behavior of materials at the micron scale. | ||
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