An improvement of the Prandtl-Reuss theory and the hybrid / mixed vari-stiffness method of finite element analysis |
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Authors: | Ping Hu and Qing Zhang |
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Institution: | (1) J ilin University of Technology, Changchun, China;(2) Changchun College of Geology, Changchun, China |
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Abstract: | The common Prandtl-Reuss theory has been improved in this paper. A quasi-flow law of the isotropic hardening Mises materials has been proposed as well, on the basis of which, an efficient iterative algorithm of finite element analysis, hybrid / mixed vari-stiffness method, has been obtained. The numerical examples calculated by the plane stress / strain element model are given. Compared with the common initial stress method, the hybrid / mixed vari-stiffness method shows its advantages in the convergent speed, calculating accuracy and treatment scheme of the incompressibility of materials. |
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Keywords: | quasi-flow law hybrid/mixed vari-stiffness method Prandtl-Reuss theory incompressibility of materials |
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