The stress subspace of hybrid stress element and the diagonalization method for flexibility matrixH |
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Authors: | Zhang Can-hui Feng Wei Huang Qian |
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Affiliation: | (1) Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072 Shanghai, P R China |
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Abstract: | The following is proved: 1) The linear independence of assumed stress modes is the necessary and sufficient condition for
the nonsingular flexibility matrix; 2) The equivalent assumed stress modes lead to the identical hybrid element. The Hilbert
stress subspace of the assumed stress modes is established. So, it is easy to derive the equivalent orthogonal normal stress
modey by Schmidt's method. Because of the resulting diagonal flexibility matrix, the identical hybrid element is free from
the complex matrix inversion so that the hybrid efficiency is improved greatly. The numerical examples show that the method
is effective.
Contributed by HUANG Qian
Foundation items: the Aid Funds of Ministry of Education to Returnee from Foreign; the Funds of Ministry of Education to Backbone Teachers
in Institutions of Higher Education; the Down Program of Shanghai Foundation of Education (99SG38); the Key Project of Shanghai
Education Committee
Biography: ZHANG Can-hui (1967-), Doctor |
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Keywords: | hybrid stress finite element Hilbert stress subspace diagonalization method for flexibility matrix |
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