旋转壳非线性蠕变分析  

NONLINEAR ANALYSIS OF CREEP FOR ROTATARY SHELLS

作　　者：刘宗德[1] 付依铭 熊祝华[2] 

机构地区：[1]北京大学,100871 [2]湖南大学,长沙410082

出　　处：《固体力学学报》1993年第1期35-45,共11页Chinese Journal of Solid Mechanics

摘　　要：基于现有的蠕变理论,本文推导出复杂应力状态下的蠕变本构方程,以内力与转角为基本未知量,得到旋转壳在轴对称载荷作用下的非线性蠕变控制方程.对基本未知量在空间上采用样条配点法离散,在时域上采用初应力法离散,求出壳体在不同时域的蠕变应变和应力,而最终可求出蠕变后的稳态应力重新分布.计算结果表明同,本文分析方法是有效的.Based on existing creep theory,the constitutive relations of creep for complex stress are presented inthis paper.By using inner forces and rotation-angles as basic unknown variables,the nonlinear creep equa-tions of rotaoary shells loaded by axisymmetic loading are derived.These variables are beendiscretization by spline function collocation point method in spacle and by initial stress method in time.The transient creep strain and stress of shells are obtained and finally,the stationary stress after the creepended are obtained.The numerical results show that the analysis method of this paper is reasonable.

关 键 词：蠕变 旋转壳 本构方程 非线性 

分 类 号：O344.6[理学—固体力学]