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。
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.
基金
国家教委跨世纪人才项目
关键词
有限变形
界面
复合材料
有效模量
近似公式
finite deformation
imperfect interface
composite materials
effective modulus
approximate formula
