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Fundamentals of Elastoplastic Theory

In: Practice of Constitutive Modelling for Saturated Soils

Author

Listed:
  • Zhen-Yu Yin

    (The Hong Kong Polytechnic University, Department of Civil and Environmental Engineering)

  • Pierre-Yves Hicher

    (Ecole Centrale de Nantes, Research Institute in Civil and Mechanical Engineering UMR CNRS GeM)

  • Yin-Fu Jin

    (The Hong Kong Polytechnic University, Department of Civil and Environmental Engineering)

Abstract

This chapter presents the classic constitutive modeling method known as the conventional elastoplastic theory with different components, such as the elastic stress–strain relationship, the elastoplastic relationship, which includes the yield surface, flow rule, and hardening rule, and Drucker’s stability hypothesis, convexity, and orthogonality. Some typical numerical methods for solving plastic problems are also presented, such as the general explicit solution, the cutting plane method-based implicit solution, and the closest point projection method-based implicit solution.

Suggested Citation

  • Zhen-Yu Yin & Pierre-Yves Hicher & Yin-Fu Jin, 2020. "Fundamentals of Elastoplastic Theory," Springer Books, in: Practice of Constitutive Modelling for Saturated Soils, chapter 0, pages 83-120, Springer.
    • Handle: RePEc:spr:sprchp:978-981-15-6307-2_4
    DOI: 10.1007/978-981-15-6307-2_4
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