面内弯矩作用下弯管应力高次解

该文采用应变分析和能量法得出了面内弯矩作用下弯管环向和轴向应力的解析解，并提出了高次解的求解方法。该方法的计算结果与其他各种解析解的结果进行比较表明：该文提出的方法能得到更精确的结果，并适用于所有弯曲系数的弯管。该方法可用于计算弯管在面内闭合弯矩和面内张开弯矩下的应力。

HIGH ORDER STRESSES FOR ELBOW UNDER IN-PLANE BENDING MOMENT

By the strain analysis and energy method,the expressions of the axial stress and circumferential stress of an elbow under the action of an in-plane bending moment are gained,and the high order stress solution for an elbow subjected to an in-plane bending moment is suggested.The high order stress solution for an elbow subjected to an in-plane bending moment is compared with the solution using the other methods.It is obtained from the comparison that the high order solution is more accurate and is suitable for elbows without the limit of λ.The high order stress solution is suitable for an elbow under an in-plane close-bending moment or an in-plane open-bending moment.