弹性平面问题复变方法的基本方程  

Basic equations of complex variable function method in elasticity plane problems

作　　者：李范春[1] 杜玲[1] 金蓉[1] 

机构地区：[1]大连海事大学机电与材料工程学院,辽宁大连116026

出　　处：《船舶力学》2008年第1期63-66,共4页Journal of Ship Mechanics

摘　　要：把弹性力学平面问题的物理量和基本方程全部改写为复数形式,从平衡方程出发引入了复应力函数。利用弹性关系和几何关系,简捷地导出了复位移的表达式。最后由复应力的坐标变换规律给出了应力边界条件的复数形式。All physics quantities and basic equations of elasticity plane problems are rewritten as the complex number form. Complex stress functions from equilibrium equation were derived. The expressions of complex displacements were also derived by using elastic and geometry relations. Finally, the complex forms of stress boundary condition are given by coordinate transform law of complex stress.

关 键 词：平面问题 复应力函数 坐标变换 

分 类 号：TB125[理学—工程力学] U661.41[理学—力学]