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The elastoplastic deformation is taken as the typical deformation to explain the relation between micro geometry and macro geometry. The macro geometry is defined by the traditional strain. The micro geometry is described the base vector transformation of material coordinators. Physically, the typical deformation of material element is local rotation and local expansion combined with rotation. They are the two basic motion modes of material element. The research shows that they can produce four typical plastic deformations (macro geometry). Each typical plastic configuration is described in details. The research also shows that the plastic intermediate configuration is defined by zero intrinsic stretching or zero intrinsic stress (which is defined by the intrinsic stretching). The classical elastoplastic constitutive equation can be replaced by the intrinsic constitutive equation (defined on material coordinators and measured by macro displacement field). |
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Keywords:elastoplasticity, micro geometry, macro geometry, intermediate configuration, deformation, transformation |
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