The thermoelastic problem of a point heat source outside an elliptical inhomogeneity is studied , with the complex potentials being obtained 求解了橢圓夾雜基體中的點(diǎn)熱源效應(yīng),獲得了熱彈性場(chǎng)的復(fù)勢(shì)解答。
The fundamental solutions for an infinite plate with an elliptical inclusion under uniaxial tensile stress are given by using the muskhelishvili " complex potentials and progression method 運(yùn)用muskhelishvili復(fù)勢(shì)理論,采用級(jí)數(shù)法得到了單向拉伸狀態(tài)下,含有橢圓夾雜的均勻無(wú)限大平板的基本解。
With the aid of the obtained fundamental solutions and the continuity conditions of stress and displacement on material interface , complex potentials solutions for an bi - material infinite plate with an elliptical inclusion under pulling stress are given 根據(jù)界面上應(yīng)力和位移的連續(xù)條件,得到了單向拉伸狀態(tài)下,含有橢圓夾雜的無(wú)限大雙材料組合板的復(fù)勢(shì)解。
For special example , the closed form solutions for complex potentials in matrix and inhmogeneity regions are derived explicitly when interface containing single crack or rigid line , and the appropriate expressions of the electro - elastic field intensity factors at the tip of crack or rigid line are examined 作為特例,求出了界面含一條裂紋或剛性線夾雜時(shí)基體和夾雜區(qū)域復(fù)勢(shì)的封閉形式解;同時(shí)計(jì)算了界面裂紋和剛性線尖端應(yīng)力和電位移場(chǎng)強(qiáng)度因子。
Using the complex potential method in the plane theory of elasticity of an anisotropic body , a series solution to the stress field of a finite plate containing multiple cracks subjected to arbitrary loads is obtained by means of the faber series expansion , and the stress intensity factors at the crack tips are calculated based on the theories of fracture mechanics . equivalence yield stress is introduced in order to consider the effects of the plastic zones , with which the strip yield criteria is developed in the article so that the effects of structural size and the crack interactions on the stress distribution can be considered accurately . the effects of plate size , crack size and crack distributions on the stress intensity factors as well as the residual strength of the plate are studied detailedly 采用各向異性體平面彈性理論中的復(fù)勢(shì)方法,以faber級(jí)數(shù)為工具,得到了含多裂紋有限大板在任意載荷作用下應(yīng)力場(chǎng)的級(jí)數(shù)解,并應(yīng)用斷裂力學(xué)方法確定裂紋尖端的應(yīng)力強(qiáng)度因子;引入當(dāng)量屈服應(yīng)力考慮裂尖塑性區(qū)的影響,提出基于帶屈服準(zhǔn)則的剩余強(qiáng)度分析模型,能夠充分考慮結(jié)構(gòu)尺寸和裂紋之間相互作用對(duì)應(yīng)力場(chǎng)的影響;通過(guò)數(shù)值計(jì)算詳細(xì)討論了結(jié)構(gòu)尺寸和裂紋之間位置關(guān)系對(duì)應(yīng)力強(qiáng)度因子和結(jié)構(gòu)剩余強(qiáng)度的影響規(guī)律,得到了一系列對(duì)工程應(yīng)用具有實(shí)用價(jià)值的結(jié)論。