A mixed projection-mesh scheme has been formulated for the solution of nonlinear boundary-value problems of the theory of small elastic-plastic strains in displacements, strains, and stresses. Iteration algorithms of the solution of nonlinear equations of the mixed method have been considered. Numerical results of the solution of two model problems are presented. The data obtained on the basis of the classical and mixed finite element methods are compared.
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Translated from Problemy Prochnosti, No. 3, pp. 111 – 127, May – June, 2005.
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Chirkov, A.Y. Iteration Algorithms for Solving Boundary-Value Problems of the Theory of Small Elastic-Plastic Strains on the Basis of the Mixed Finite Element Method. Strength Mater 37, 310–322 (2005). https://doi.org/10.1007/s11223-005-0044-8
- plasticity theory
- finite element method
- mixed scheme
- iterative methods