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有限变形下非完善界面复合材料有效模量的近似公式
Approximate Formule for Effective Moduli of Elastic Composite with Imperfect Interfaces in Finite Deformation
【摘要】 简化了有限变形下含非完善界面复合材料总势能取驻值的控制方程。连续两次应用Fourier-Budan判别式判别出了该方程的根的取值区间,由此导出了有限变形下含非完善界面复合材料有效模量上限的近似公式。结合数值算例对近似公式和精确公式进行了分析比较,发现近似公式精度很高。
【Abstract】 The contral equation of stationary value which the total potential energy functional of elastic composite with imperfect interfaces in finite deformation can be achived is simplified. Further, the interval of root of the equation is determined by using Fourier Budan Criterion continually, and in terms of the root the approximate expressions of the upper bounds of the effective moduli are presented. Numerical results are given to compare the approximate solutions with the exact one. It is found that the approximate formule are high precision.
【关键词】 有限变形;
非完善界面;
复合材料;
有效模量;
近似公式;
【Key words】 finite deformation; imperfect interface; composite materials; effective modulus; approximate formula;
【Key words】 finite deformation; imperfect interface; composite materials; effective modulus; approximate formula;
【基金】 国家教委跨世纪人才项目
- 【文献出处】 武汉工业大学学报 ,JOURNAL OF WUHAN UNIVERSITY OF TECHNOLOGY , 编辑部邮箱 ,1997年01期
- 【分类号】O138.2;T133.3
- 【被引频次】3
- 【下载频次】59