Reissner板弯曲与平面偶应力模拟  

Analogy between Reissner plate bending and plane couple-stress

作　　者：钟万勰[1] 姚伟岸[1] 郑长良[1] 

机构地区：[1]大连理工大学工业装备结构分析国家重点实验室,辽宁大连116024

出　　处：《大连理工大学学报》2002年第5期519-521,共3页Journal of Dalian University of Technology

基　　金：教育部博士点专项科研基金资助项目 (2 0 0 10 14 10 2 4) ;国家自然科学基金资助项目 (10 172 0 2 1)

摘　　要：在平面弹性与 Kirchhoff板弯曲相似性理论基础上 ,通过对 Reissner板弯曲和平面偶应力理论的基本控制方程与边界条件的对比 ,系统全面地阐明了两者之间的模拟关系 .Based on the analogue theory of plane elasticity and Kirchhoff plate, the analogue relationship between Reissner plate theory and plane couple stress theory is investigated systematically. A more complete analogue relationship between Reissner plate theory and plane couple stress theory is presented by comparing the basic equations (such as equilibrium equations, compability equations and constitutive equations, etc.) and boundary conditions of the above two theories. The analogue relationship can offer some new analytical and numerical methods to solve the problems in the both fields.

关 键 词：Reissner板弯曲 平面偶应力理论 相似性理论 平面弹性 边界条件 模拟关系 

分 类 号：O343.1[理学—固体力学]