在复杂应力状态下厚壁圆筒的极限分析

LIMIT ANALYSIS OF THICK-WALLED TUBES IN COMPLEX STRESS STATE

应用双剪统一强度理论,考虑材料的拉压异性和同性,推导了在内压力和轴力联合作用下的厚壁圆筒的塑性极限载荷计算公式,并且绘制了其极限载荷线图。在这些计算公式中,当其系数取不同的值时,就能得到按Tresca屈服准则、线性逼近的Mises屈服准则和双剪应力屈服准则的计算结果。应用其极限载荷线图,根据其承受的载荷大小,就能判断厚壁圆筒是否达到了屈服极限状态。绘制了在不同屈服准则下的极限载荷线图,以便对其差异进行比较。

The limit loading formulae of thick-walled tubes under the action of combined inner pressure with axial force, are derived based on the twin shear unified strength theory. The strength differential effect in tension and compression is considered and the curve of limit loadings is plotted. In these formulae, the results given by Tresca criterion, linear approximate Mises criterion and twin shear stress yielded criterion can be obtained respectively when different coefficients are chosen. Whether the whole thick-walled tube has entered into the yield state can be decided based on the curve. Limit loading curves of thick-walled tubes under different yield criteria are plotted so that differences among them can be compared.