Fibers and Polymers

, Volume 7, Issue 1, pp 42–50 | Cite as

Anisotropic-asymmetric yield criterion and anisotropic hardening law for composite materials: Theory and formulations

  • Ji Hoon Kim
  • Myoung-Gyu Lee
  • Kwansoo Chung
  • Jae Ryoun Youn
  • Tae Jin Kang
Article

Abstract

In this paper, elasto-plastic constitutive equations for highly anisotropic and asymmetric materials are developed and their numerical implementation is presented. Some engineering materials such as fiber reinforced composites show different material behavior in the different material directions (anisotropy) as well as in tension and compression (asymmetry). Although these materials have mostly been analyzed using the anisotropic elastic constitutive equations, the necessity of consideration of plastic properties has been frequently reported in the previous works. In order to include both the anisotropic and asymmetric properties of composite materials, the Drucker-Prager yield criterion is modified by adding anisotropic parameters and initial components of translation. The implementation procedure for the developed theory and algorithms is presented based on the implicit finite element scheme. The measured data from the previous work are used to validate the present constitutive equations.

Keywords

Constitutive equations Drucker-Prager yield criterion Anisotropy Asymmetry Fiber reinforced composites 

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Copyright information

© The Korean Fiber Society 2006

Authors and Affiliations

  • Ji Hoon Kim
    • 1
  • Myoung-Gyu Lee
    • 1
    • 2
  • Kwansoo Chung
    • 1
  • Jae Ryoun Youn
    • 1
  • Tae Jin Kang
    • 1
  1. 1.School of Materials Science and EngineeringSeoul National UniversitySeoulKorea
  2. 2.Department of Materials Science and EngineeringOhio State UniversityUSA

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