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The parametric variational principle for elastoplasticity

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Abstract

A parametric variational principle, the parametric minimum potential energy principle (abbreviated to PMPEP), is presented for the elastoplastic problems. The principle proposed is free from the restraint of Drucker's postulate and consequently suitable for solving the nonassociated plastic flow problems in rock, soil, concrete and other geomaterials.

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References

  1. Zhong Wanxie, On Parametric complementary energy variational principle in soil mechanics,ACTA Mechanica Sinica,18(1986), (in Chinese).

  2. Zhang Roulei, Zhong Wanxie, The numerical solution for PMPEP by PQP,Computational Structural Mechanics and Applications,4.1(1987). (in Chinese).

  3. Zhang Roulei, The parametric variational principles, Theory and Applications, Ph. D. Thesis, Dalian Institute of Technology, Sept. (1987), (in Chinese).

  4. Xie Xueshu, Optimum Control, Theory and Applications, Qing Hua Uni. (1982), (in Chinese).

  5. Hill, R., The Mathematical Theory of Plasticity, Oxford (1950).

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Wanxie, Z., Roulei, Z. The parametric variational principle for elastoplasticity. Acta Mech Sinica 4, 134–137 (1988). https://doi.org/10.1007/BF02487714

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  • DOI: https://doi.org/10.1007/BF02487714

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