摘要
本文通过资料分析,简要阐明了研究弹性模量随深度呈指数规律变化的有限厚层轴对称问题的必要性。联合运用Hankle和Laplace积分变换,对此问题进行求解。并将之退化为均质线弹性问题的解,从而验证了它的正确性。其通解适用于有限厚或无限深空间问题,并可推广到多层体系的分析中。
By the overview of a series of articles concerned, it is expounded necessary to study finitethick layered axial symmetric problems with their elastic moduli varying with depthaccording to exponential law. The formulations of these problems have been obtained by in-corporating Hankle-Laplace integral transformations. Its validity is verified by deterioratingit into the case which is homogeneous and linear elastic. The general solutions can be used forlayers which are finite or infinite and extended to the analysis of multiple-layered system.
出处
《交通科学与工程》
1993年第4期59-70,共12页
Journal of Transport Science and Engineering
基金
国家自然科学基金
关键词
非均匀性
轴对称
层状体系
积分变换
nonhomogeneous
axial symmetry
layered system
integral transformation
