摘要
将求解无限弹性平面中孔洞附近应力集中问题的复变函数方法 ,推广到微极弹性介质的应力集中问题上去 ,在复平面上给出了二维微极弹性理论应力集中问题的一般解 ,它可由解析函数与“域函数”构造出来 ,并利用保角映射的方法来满足非圆孔洞的边界条件· 在此基础上建立了求解微极弹性理论中应力集中问题的一般求解方法· 最后 ,对圆形孔洞附近的应力集中系数作了数值计算 ,并给出了具体结果·
The complex function method was used in the solution of micropolar elasticity theory around cavity in an infinite elasticity plane. In complex plane, the general solution of two dimension micropolar elasticity theory is given. The solution comes from analytic function and “Zonal Function”. The boundary conditions of non_circular cavity are satisfied by using the conformal mapping method. Based on the method, a general approach solving the stress concentration in micropolar elasticity theory is established. Finally, the numerical calculation is carried out to the stress concentration coefficient of circular cavity.
出处
《应用数学和力学》
EI
CSCD
北大核心
2000年第8期803-808,共6页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目!(196 72 0 2 3)
关键词
微极弹理论
应力集中
复变函数
孔洞
应力偶
micropolar elasticity theory
stress concentration
complex function
conformal mapping
couple_stresses
