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An additive theory for finite elastic-plastic deformations of the micropolar continuous media

Ramezani, S ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. DOI: 10.1007/s00707-008-0084-9
  3. Publisher: 2009
  4. Abstract:
  5. In this paper, the method of additive plasticity at finite deformations is generalized to the micropolar continuous media. It is shown that the non-symmetric rate of deformation tensor and gradient of gyration vector could be decomposed into elastic and plastic parts. For the finite elastic deformation, themicropolar hypo-elastic constitutive equations for isotropicmicropolar materials are considered.Concerning the additive decomposition and the micropolar hypo-elasticity as the basic tools, an elastic-plastic formulation consisting of an arbitrary number of internal variables and arbitrary form of plastic flow rule is derived. The localization conditions for the micropolar material obeying the developed elastic-plastic constitutive equations are investigated. It is shown that in the proposed formulation, the rate of skew-symmetric part of the stress tensor does not exhibit any jump across the singular surface. As an example, a generalization of the Drucker-Prager yield criterion to the micropolar continuum through a generalized form of the J2-flow theory incorporating isotropic and kinematic hardenings is introduced. © 2008 Springer-Verlag
  6. Keywords:
  7. Additive decomposition ; Arbitrary number ; Continuous media ; Drucker Prager yield criterion ; Elastic-Plastic ; Elastic-plastic deformation ; Finite deformations ; Finite elastic deformations ; Flow theories ; Internal variables ; Kinematic hardening ; Micropolar ; Micropolar continuum ; Micropolar material ; Rate of deformation tensor ; Singular surfaces ; Skew-symmetric ; Stress tensors ; Constitutive equations ; Elastic deformation ; Elasticity ; Elastoplasticity ; Tensors ; Plastic parts
  8. Source: Acta Mechanica ; Volume 206, Issue 1-2 , 2009 , Pages 81-93 ; 00015970 (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s00707-008-0084-9