Abstract
In Ref. [1], a model of 3-D composite laminate theory was described. In the present paper, based on the basic equations about 3-D linear elasticity and classical variational principles, by the block matrix operation and the: Lagrange's method of multipliers, a series of basic equations and variational principles are obtained, which are more complete and more systematic than that in Ref. [1].
Similar content being viewed by others
References
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.
Chien Wei-zang,The Variational Methods and Finite Elements, Science Press (1980), 433–465. (in Chinese)
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)
Chen Wan-ji, Generalized hybrid element,Acta Mechanics Sinica, 6 (1981), 582–591. (in Chinese)
Author information
Authors and Affiliations
Additional information
Communicated by Fan Ta-chung
The project supported by the National Natural Science Foundation of China
Rights and permissions
About this article
Cite this article
You-liang, J. On completeness for a 3-D linear theory of composite laminate. Appl Math Mech 15, 679–688 (1994). https://doi.org/10.1007/BF02451616
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02451616