Document Zbl 0809.73044

On completeness for a 3-D linear theory of composite laminate. (English) Zbl 0809.73044

Appl. Math. Mech., Engl. Ed. 15, No. 7, 679-688 (1994).

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

Keywords:

block matrix operation; Lagrange multipliers

Citations:

Zbl 0729.73280

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Full Text: DOI

References:

[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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