库仑材料平面轴对称问题极限分析  

Limit analysis of plane axial symmetry problem for Coulomb materials

作　　者：崔新壮[1] 金青[1] 商庆森[1] 

机构地区：[1]山东大学土建与水利学院

出　　处：《山东大学学报（工学版）》2006年第3期100-102,共3页Journal of Shandong University（Engineering Science）

基　　金：国家973项目(2002CB412706);国家自然科学基金项目(10372104)资助

摘　　要：根据塑性流动正交法则确定了库仑材料平面轴对称问题上限分析所需的速度场,提出了用体积应变率求解变形区内部能量耗散率的一般方法.对厚壁圆筒的轴对称渗流问题进行了求解,得到了渗透力场.用上限法对渗透力作用下的厚壁圆筒进行了极限分析,发现上限解与精确解相同.The velocity field in upper-bound analysis of plane axial symmetry problem for Coulomb materials is established according to the normal plastic flow rule. The general solving method of internal energy dissipation rate in terms of bulk stain rate in deforming region is presented. The axial symmetry permeation problem of thick-walled cylinder is solved and the permeating force field is obtained. The stability of thick-walled cylinder under permeating force is analyzed with upper-bound method and the upper-bound solution is found the same as the true solution.

关 键 词：库仑材料 平面轴对称 极限分析 上限法 

分 类 号：O344.5[理学—固体力学]