含裂纹构件塑性失效时载荷与位移关系的闭合解  

CLOSED FORM SOLUTION OF LOAD-DISPLACEMENT CURVE FOR CRACKED COMPONENTS DURING PLASTIC FAILURE

作　　者：吴建国[1,2] 王奇志[1] 张行[1] 

机构地区：[1]北京航空航天大学航空科学与工程学院,北京100191 [2]北京强度环境研究所,北京100097

出　　处：《机械强度》2011年第2期247-252,共6页Journal of Mechanical Strength

摘　　要：对含裂纹构件的一种失效模式(韧带屈服)进行研究。将构件位移分成线弹性位移与塑性位移。在进行线弹性位移分析时,采用断裂力学中的能量差率方法与固体力学中的余能原理。在进行弹塑性位移分析时,建立三区力学模型,在此基础上得到载荷位移关系与构件承载能力表达式的闭合解。此解与试验结果具有很好的一致性。A failure mode（ligament yielding） of cracked components is researched in the ductile fracture.In the model,the displacement of components consists of two parts,one is the linear elastic displacement and the other is the elastic-plastic displacement.Energy difference rate method in fracture mechanics and complementary energy principle in solid mechanics are used in the process of analyzing the linear elastic displacement.And three zone mechanics model is built during analyzing the elastic-plastic displacement.Based on those,an analytic closed form solution of load-displacement for cracked components during plastic failure is established.And the results from that solution are comparatively consistent with experimental data.

关 键 词：韧带屈服 塑性失效 载荷位移曲线 解析闭合解 

分 类 号：O346.1[理学—固体力学]