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Variational inequalities in plasticity with strain-hardening - equilibrium finite element approach
Applications of Mathematics, Tome 31 (1986) no. 4, pp. 270-281

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The incremental finite element method is applied to find the numerical solution of the plasticity problem with strain-hardening. Following Watwood and Hartz, the stress field is approximated by equilibrium triangular elements with linear functions. The field of the strain-hardening parameter is considered to be piecewise linear. The resulting nonlinear optimization problem with constraints is solved by the Lagrange multipliers method with additional variables. A comparison of the results obtained with an experiment is given.
The incremental finite element method is applied to find the numerical solution of the plasticity problem with strain-hardening. Following Watwood and Hartz, the stress field is approximated by equilibrium triangular elements with linear functions. The field of the strain-hardening parameter is considered to be piecewise linear. The resulting nonlinear optimization problem with constraints is solved by the Lagrange multipliers method with additional variables. A comparison of the results obtained with an experiment is given.
DOI : 10.21136/AM.1986.104206
Classification : 49J40, 49M29, 73-08, 73E99, 74C99, 74S30
Keywords: incremental finite element method; strain-hardening; equilibrium triangular elements; nonlinear optimization problem with constraints; Lagrange multipliers method; additional variables 
Kestřánek, Zdeněk. Variational inequalities in plasticity with strain-hardening - equilibrium finite element approach. Applications of Mathematics, Tome 31 (1986) no. 4, pp. 270-281. doi: 10.21136/AM.1986.104206
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