焊接残余应力强度因子的权函数法求解
发布时间：2018-10-10 19:38
【摘要】：复杂焊接残余应力场作用下的应力强度因子是焊接结构损伤容限分析的前提。权函数法是求解任意载荷下应力强度因子的高效手段,但裂纹几何的复杂性给经典权函数法的应用带来了障碍。本文利用一种新的基于复变函数泰勒级数展开的权函数解法,通过复变有限元计算,求解裂纹面位移对裂纹长度的偏导数,采用经典权函数的级数展开式作拟合,确定无限大板周期性共线裂纹、有限宽板中心裂纹以及有限宽板单边裂纹的权函数,并确定了这3类裂纹在典型焊接残余应力作用下的应力强度因子。与经典权函数法、有限元法以及有关文献结果的广泛对比表明,基于复变函数泰勒级数展开的权函数法,为包括焊接残余应力的复杂载荷条件下的裂纹问题求解提供了高效高精度的手段。
[Abstract]:The stress intensity factor under the action of complex welding residual stress field is the premise of damage tolerance analysis of welded structures. The weight function method is an efficient method to solve the stress intensity factor under arbitrary load, but the complexity of crack geometry brings obstacles to the application of the classical weight function method. In this paper, a new weight function method based on Taylor series expansion of complex variable function is used to solve the partial derivative of crack surface displacement to crack length by complex finite element method, and the series expansion of classical weight function is used to fit it. The weight function of periodic collinear crack, central crack of finite wide plate and unilateral crack of finite wide plate are determined, and the stress intensity factors of these three kinds of cracks under the action of typical welding residual stress are determined. Compared with classical weight function method, finite element method and related literature, it is shown that the weight function method based on Taylor series expansion of complex variable function, It provides an efficient and accurate method for solving crack problems under complex loads including welding residual stresses.
【作者单位】： 中航工业北京航空材料研究院;
【基金】：国家自然科学基金(11402249)~~
【分类号】：TG404
本文编号：2263002
[Abstract]:The stress intensity factor under the action of complex welding residual stress field is the premise of damage tolerance analysis of welded structures. The weight function method is an efficient method to solve the stress intensity factor under arbitrary load, but the complexity of crack geometry brings obstacles to the application of the classical weight function method. In this paper, a new weight function method based on Taylor series expansion of complex variable function is used to solve the partial derivative of crack surface displacement to crack length by complex finite element method, and the series expansion of classical weight function is used to fit it. The weight function of periodic collinear crack, central crack of finite wide plate and unilateral crack of finite wide plate are determined, and the stress intensity factors of these three kinds of cracks under the action of typical welding residual stress are determined. Compared with classical weight function method, finite element method and related literature, it is shown that the weight function method based on Taylor series expansion of complex variable function, It provides an efficient and accurate method for solving crack problems under complex loads including welding residual stresses.
【作者单位】： 中航工业北京航空材料研究院;
【基金】：国家自然科学基金(11402249)~~
【分类号】：TG404
【相似文献】
相关期刊论文 前3条
1 杨化仁;用权函数法建立疲劳裂纹扩展的估算模型[J];力学与实践;1995年02期
2 杨化仁;用权函数法建立疲劳裂纹扩展的估算模型[J];沈阳大学学报;1999年02期
3 ;[J];;年期
，本文编号：2263002
本文链接：https://www.wllwen.com/kejilunwen/jinshugongy/2263002.html
教材专著
