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Constitutive modeling of solids at finite deformation using a second-order stress-strain relation

Darijani, H ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1016/j.ijengsci.2009.08.006
  3. Publisher: 2010
  4. Abstract:
  5. In this paper, a deformation measure is introduced which leads to a class of strain measures in the Lagrangian and Eulerian descriptions. In order to develop a constitutive equation, a second-order constitutive relation based on these strain measures is considered for modeling the mechanical behavior of solids at finite deformation. For this purpose and performance evaluation of the proposed strains, a Hookean-type constitutive equation is considered and the uniaxial loading as well as simple shear and pure shear tests are examined. It is shown that the constitutive modeling based on the proposed strains give results which are in good agreement with the experimental data
  6. Keywords:
  7. Constitutive modeling ; Finite deformation ; Hookean-type ; Strain measures ; Constitutive modeling ; Constitutive relations ; Deformation measures ; Eulerian description ; Experimental data ; Finite deformations ; Lagrangian ; Mechanical behavior ; Performance evaluation ; Pure shear ; Second orders ; Simple shear ; Strain measures ; Stress strain relation ; Uni-axial loading ; Constitutive equations ; Deformation ; Strain
  8. Source: International Journal of Engineering Science ; Volume 48, Issue 2 , 2010 , Pages 223-236 ; 00207225 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0020722509001311