层状弹性体系力学及其应用

LAYERED ELASTIC SYSTEM MECHANICS AND ITS APPLICATIONS

层状弹性体系力学是弹性力学的一个分支。首先介绍层状弹性体系力学的发展历史。其次介绍N层弹性体系的力学分析与计算,内容包括基本假定、应力和位移分量的表达式、定解条件、根据定解条件建立求解积分常数的线性代数方程组、由线性代数方程组求解积分常数、贝塞尔函数的计算、积分计算公式、数值积分、后续的力学计算以及计算算例。最后介绍层状弹性体系力学在科学研究和工程设计中的应用。

The mechanics of layered elastic system is a branch of elasticity. Firstly, the development history of layered elastic system mechanics is introduced. Secondly, the mechanical analysis and calculation of N-layer elastic system are introduced, including basic assumptions, expressions of stress and displacement components,definite solution conditions, establishment of linear algebraic equations for solving integral constants according to definite solution conditions, solution of integral constants by linear algebraic equations, calculation of Bessel function, integral calculation formula, numerical integration, subsequent mechanical calculation and calculation examples. Finally, the application of layered elastic system mechanics in scientific research and engineering design is introduced.