complex potential造句
例句與造句
- 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。 - It's difficult to find complex potential in a sentence. 用complex potential造句挺難的
- A new analytical method for the plane elastic or thermoelastic problem on complex multiply connected region based upon the complex potential theory of elastic mechanics built by muskhelishvili . n . i . by combining the theory of sectionally holomorphic function , cauchy model integral , the analysis of the singularity of complex function and riemann boundary problem , the analysis relation between the complex potentials is obtained , and then the problem is transformed into solving an elementary complex potentials equation
I彈性力學(xué)復(fù)勢(shì)理論的基礎(chǔ)上提出一種處理復(fù)雜多連通域平面彈性與熱彈性問(wèn)題新的分析方法，將復(fù)變函數(shù)的分區(qū)全純函數(shù)理論，復(fù)勢(shì)奇性分析， riemann邊值問(wèn)題與cauchy型積分相結(jié)合，求得各分區(qū)復(fù)勢(shì)的解析關(guān)系，將問(wèn)題歸結(jié)為一個(gè)初等復(fù)勢(shì)函數(shù)方程的求解。 - By use of the stress free conditions on crack and the continuity conditions of stress and displacement on ideal bonded material interface , the stress field of an bi - material infinite plate with an elliptical inclusion and a deminfinite interface crack are given on the base of the complex potentials solutions obtained above . and the corresponding stress intensity factor k is given
在該復(fù)勢(shì)解的基礎(chǔ)上，根據(jù)裂紋表面的零應(yīng)力條件和理想粘接界面上的位移和應(yīng)力連續(xù)條件，通過(guò)求解hilbert問(wèn)題，得到了含有夾雜和半無(wú)限界面裂紋的無(wú)限大板的應(yīng)力場(chǎng)，并由此給出了裂尖的應(yīng)力強(qiáng)度因子k 。 - Using the complex potential method in the plane theory of elasticity of an anisotropic body , the series solution of finite anisotropic thin plate containing an elliptical inclusion is proposed with the help of faber series . a hybrid element with an elliptical inclusion for anisotropic materials is obtained by using the hybrid variable principle , and the element efficiency is verified by numerical examples . the state of the damage is modeled by an elliptical soft inclusion , and using the point stress criterion based on characteristic curve and yamada - sun etc . criteria , the prediction of the strength of a composite laminate with damage is set up
首先基于經(jīng)典層板理論，將復(fù)合材料層板的彈性問(wèn)題化歸為均勻各向異性板來(lái)求解；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，給出了有限大含橢圓核各向異性板彈性問(wèn)題的級(jí)數(shù)解形式；利用雜交變分原理，成功導(dǎo)出含橢圓核各向異性板雜交應(yīng)力有限元，并用算例驗(yàn)證了該單元的可行性和有效性；采用含剛度折減橢圓形彈性核的沖擊損傷模型，引入基于特征曲線和yamada - sun破壞準(zhǔn)則的點(diǎn)應(yīng)力判據(jù)，建立了含損傷復(fù)合材料層板剩余強(qiáng)度的分析方法；通過(guò)數(shù)值計(jì)算詳細(xì)討論了各種幾何參數(shù)對(duì)損傷層板應(yīng)力分布、剩余強(qiáng)度的影響，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。 - The coupled effect is analyzed for an elliptical inhomogeneity under plane uniform loads and linear temperature change at infinity . the complex potentials are obtained for an elliptical inhomogeneity under plane uniform mechanical loading , uniform temperature change and uniform heat flow directed at any angle . the discussion is also given to the variation of the interfacial stresses with thermal parameters
分析了無(wú)窮遠(yuǎn)平面加載和線性溫變的耦合效應(yīng)，獲得了橢圓夾雜體在無(wú)窮遠(yuǎn)平面均勻加載和均勻升溫以及任意方向的均勻熱流共同作用下的復(fù)勢(shì)解答，并討論了界面應(yīng)力隨各熱載參數(shù)的變化規(guī)律，發(fā)現(xiàn)基體導(dǎo)熱性能越好(與夾雜相比) ，界面應(yīng)力幅值越大。 - With the aid of the muskhelishvili ' s complex potentials theory , boundary conditions on the crack faces and the single value condition of displacement , the problem of a plate under compressive loading is turned into hilbert problem and the fundamental solution for cracks with different surface forms under concentrated pseudo - tractions are given
根據(jù)muskhelishvili的復(fù)勢(shì)理論，結(jié)合裂面邊界條件和位移單值條件，將受壓構(gòu)件的裂紋問(wèn)題轉(zhuǎn)化為對(duì)應(yīng)的hilbert問(wèn)題，并分別給出了在偽集中力作用下，不同裂面形態(tài)的基本解。