【摘要】：復(fù)雜焊接殘余應(yīng)力場作用下的應(yīng)力強度因子是焊接結(jié)構(gòu)損傷容限分析的前提。權(quán)函數(shù)法是求解任意載荷下應(yīng)力強度因子的高效手段,但裂紋幾何的復(fù)雜性給經(jīng)典權(quán)函數(shù)法的應(yīng)用帶來了障礙。本文利用一種新的基于復(fù)變函數(shù)泰勒級數(shù)展開的權(quán)函數(shù)解法,通過復(fù)變有限元計算,求解裂紋面位移對裂紋長度的偏導(dǎo)數(shù),采用經(jīng)典權(quán)函數(shù)的級數(shù)展開式作擬合,確定無限大板周期性共線裂紋、有限寬板中心裂紋以及有限寬板單邊裂紋的權(quán)函數(shù),并確定了這3類裂紋在典型焊接殘余應(yīng)力作用下的應(yīng)力強度因子。與經(jīng)典權(quán)函數(shù)法、有限元法以及有關(guān)文獻結(jié)果的廣泛對比表明,基于復(fù)變函數(shù)泰勒級數(shù)展開的權(quán)函數(shù)法,為包括焊接殘余應(yīng)力的復(fù)雜載荷條件下的裂紋問題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.
【作者單位】： 中航工業(yè)北京航空材料研究院;
【基金】：國家自然科學基金(11402249)~~
【分類號】：TG404

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本文編號：2263002