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Micropolar hypo-elasticity

Ramezani, S ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1007/s00419-010-0466-z
  3. Publisher: 2010
  4. Abstract:
  5. In this paper, the concept of hypo-elasticity is generalized to the micropolar continuum theory, and the general forms of the constitutive equations of the micropolar hypo-elastic materials are presented. A new co-rotational objective rate whose spin is the micropolar gyration tensor is introduced which describes the deformation of the material in view of an observer attached to the micro-structure. As special case, simplified versions of the proposed constitutive equations are given in which the same fourth-order elasticity tensors are used as in the micropolar linear elasticity. A 2-D finite element formulation for large elastic deformation of micropolar hypo-elastic media based on the simplified constitutive equations in conjunction with Jaumann and gyration rates is presented. As an example, buckling of a shallow arc is examined, and it is shown that an increase in the micropolar material parameters results in an increase in the buckling load of the arc. Also, it is shown that micropolar effects become important for deformations taking place at small scales
  6. Keywords:
  7. Buckling loads ; Elastic materials ; Elastic media ; Elasticity tensor ; Finite element formulations ; Fourth-order ; Gyration rate ; Hypo-elasticity ; Jaumann rates ; Linear elasticity ; Micropolar ; Micropolar continuum ; Micropolar effects ; Micropolar material ; Objective rate ; Small scale ; Buckling ; Continuum mechanics ; Deformation ; Elasticity ; Strain rate ; Tensors ; Constitutive equations
  8. Source: Archive of Applied Mechanics ; Volume 80, Issue 12 , December , 2010 , Pages 1449-1461 ; 09391533 (ISSN)
  9. URL: http://link.springer.com/article/10.1007%2Fs00419-010-0466-z