發(fā)布時間：2018-04-25 20:18

  本文選題：直角域 + 橢圓形夾雜　； 參考：《天津大學(xué)學(xué)報(自然科學(xué)與工程技術(shù)版)》2016年04期

【摘要】：利用Green函數(shù)法、復(fù)變函數(shù)法及保角映射技術(shù)研究了SH波作用下直角域中直線裂紋對橢圓形夾雜動應(yīng)力集中系數(shù)的影響.采用保角映射法和鏡像疊加原理構(gòu)造了一個能自動滿足直角平面兩個直線邊界應(yīng)力自由邊界條件的散射位移場,并取含有橢圓形夾雜的直角域中任意一點承受時間諧和的出平面線源載荷作用下的位移基本解作為適合的Green函數(shù).利用裂紋"切割"技術(shù)構(gòu)造直線裂紋,進而得出裂紋與橢圓形夾雜共存時的位移場和應(yīng)力場.通過具體算例討論了入射波數(shù)、裂紋角度、裂紋長度等因素對橢圓形夾雜周邊動應(yīng)力集中系數(shù)的影響.
[Abstract]:The effect of linear crack in right angle domain on the dynamic stress concentration factor of elliptical inclusion is studied by using Green function method, complex variable function method and conformal mapping technique. Using the conformal mapping method and the principle of image superposition, a scattering displacement field is constructed, which can automatically satisfy the stress free boundary conditions of two straight line boundaries in the right plane. The displacement fundamental solution of any point in the right-angle domain with elliptical inclusions under the action of the output plane line source load of time harmonic sum is taken as the appropriate Green function. The crack "cutting" technique is used to construct the linear crack, and then the displacement field and the stress field are obtained when the crack and the elliptical inclusion coexist. The influence of incident wave number, crack angle and crack length on the dynamic stress concentration factor around the elliptical inclusion is discussed.
【作者單位】： 哈爾濱工程大學(xué)航天與建筑工程學(xué)院;
【基金】：黑龍江省自然科學(xué)基金資助項目(A201404)
【分類號】：O346.1

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