弹性薄板弯曲问题的等价的边界积分方程  

Equivalent Boundary Integral Equations With Indirect Unknowns for Thin Elastic Plate Bending Theory

作　　者：张耀明[1] 孙焕纯[2] 杨家新 

机构地区：[1]山东工程学院数理系,山东淄博255012 [2]大连理工大学力学系,大连116023

出　　处：《应用数学和力学》2000年第11期1125-1132,共8页Applied Mathematics and Mechanics

摘　　要：用非解析开拓数学方法建立平面弹性薄板弯曲问题理论中具有间接变量的等价边界积分方程 ,并采用变分法进行了严格的说明·　以往出现的三种间接变量边界积分方程 ,它们都不是等价的 ,对此我们进行了深入的讨论·Equivalent Boundary Integral Equations (EBIE) with indirect unknowns for thin elastic plate bending theory, which is equivalent to the original boundary value problem, is established rigorously by mathematical technique of non_analytic continuation and is fully proved by means of the variational principle. The previous three kinds of boundary integral equations with indirect unknowns are discussed thoroughly and it is shown that all previous results are not EBIE.

关 键 词：弯曲问题 边界元 边界积分方程 弹性薄板 

分 类 号：O343.1[理学—固体力学]