On completeness for a 3-D linear theory of composite laminate. (English) Zbl 0809.73044
Summary: In [Q. Huang, Appl. Math. Mech., Engl. Ed. 9, No. 7, 649-657 (1988; Zbl 0729.73280)], a model of three-dimensional composite laminate theory was described. In the present paper, based on the basic equations of the three-dimensional linear elasticity, classical variational principles, block matrix operation, and the Lagrange multipliers, a series of basic equations and variational principles are obtained, which are more complete and more systematic than that in the above reference.
MSC:
74E30 | Composite and mixture properties |
74B05 | Classical linear elasticity |
74S30 | Other numerical methods in solid mechanics (MSC2010) |
74P10 | Optimization of other properties in solid mechanics |
74S05 | Finite element methods applied to problems in solid mechanics |
Citations:
Zbl 0729.73280References:
[1] | Huang Qian, Variational principle of hybrid energy and the fundamental of 3-D laminate theory–a new approach for the analysis of interlaminar stress in composite laminates,Applied Mathematics and Mechanics,9, 7 (1988), 599–608. · Zbl 0729.73280 · doi:10.1007/BF02465694 |
[2] | Chien Wei-zang,The Variational Methods and Finite Elements, Science Press (1980), 433–465. (in Chinese) |
[3] | Jiang You-liang, New unified functionals of generalized variational principles in nonlinear elasticity,The Modern Mathematics and Mechanics (MMM-V), China University of M ning Press (1993), 59, 65. (in Chinese) |
[4] | Chen Wan-ji, Generalized hybrid element,Acta Mechanics Sinica, 6 (1981), 582–591. (in Chinese) |
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