Abstract
The parametric minimum complementary energy variational principle is given in this paper. To the problems of nonassociative flow rule in the theory of plasticity, the Drucker postulation can no longer be applied and the classical variational principles fail, the parametric variation principles can play the role instead. The parametric variational principle can be used for the finite element solution with sequential quadratic programming method to soil mechanics problems.
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References
Zhong Wanxie, On the parametric variational principles in elastic contact problems and its parametric quadratic programming solution,Computational Structural Mechanics and Applications, 2(1985), (in Chinese).
Zhong Wanxie, The parametric potential energy principle in elastic contact problems and its computer implementation.Computational Structural Mechanics and Applications, 1(1985), (in Chinese).
Wang ren, Shueng Zhohua and Huang Wenping, Fundations of Plasticity, Science Press (1982) (in Chinese).
Hill, R., The Mathematical Theory of Plasticity, Oxford (1950).
Drucker, D. C. and Prager, W., Soil mechanics and plastic analysis or limit design.Quart. Appl. Math. 10, 2 (1952).
Zhong Wanxie, On new upper and lower bound theorems and its algorithms.Computational Structural Mechanics and Applications, 1(1984) (in Chinese).
Cheng Gengtong, On the linear programming algorithm to the new lower bound theorem and discussionsJournal of Solid Mechanics (1985) (in Chinese).
Sheng Weiping, The refined iteration method to limit analysis problems.Computational Structural Mechanics and Application (1985) (in Chinese).
Huang Wenxi et al, The engineering constitutive relations of soils, Hydrolic and Power Publishing Company (1983) (in Chinese).
Scott, C. R., An Introduction to Soil Mechanics and Foundations (1980).
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Wanxie, Z. On parametric minimum complementary energy variational principle in soil mechanics. Acta Mech Sinica 2, 249–255 (1986). https://doi.org/10.1007/BF02485202
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DOI: https://doi.org/10.1007/BF02485202