复合材料层合板三维线性理论的完整性
On the Completeness for a 3-D Linear Theory of Composite Laminate
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摘要: 本文针对文献[1]所述复合材料层合板三维模型,在三维线性弹性理论基本方程和经典变分原理的基础上,通过分块矩阵运算和线性Lagrange乘子法,推导出比文献[1]更全面更系统的基本方程和变分原理,使复合材料层合板三维线性理论臻于完整。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 rariational 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 complere and more systematic than that in ref [1].
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Key words:
- composite malerials /
- coinposite laminate /
- 3-D linear elasticity
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[1] 黄黔,杂交能变分原理及层合板三维理论的基础—分析复合材料层间应力的新方法.应用数学和力学,8(7)(1988), 599-808. [2] 钱伟长.《变分法及有限元》(上册),科学出版社(1980), 433-485. [3] 蒋友谅.留帕勺非线性广义变分原理的统一泛函,《现代数学和力学(MMM)-V.中国矿业大学出版社(1993), 59-85. [4] 陈万吉.广义杂交元.力学学报.8(1981), 582-591. -
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