| 1. | The thermoelastic problem of a point heat source outside an elliptical inhomogeneity is studied , with the complex potentials being obtained
求解了椭圆夹杂基体中的点热源效应，获得了热弹性场的复势解答。 |
| 2. | 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
运用muskhelishvili复势理论，采用级数法得到了单向拉伸状态下，含有椭圆夹杂的均匀无限大平板的基本解。 |
| 3. | 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
根据界面上应力和位移的连续条件，得到了单向拉伸状态下，含有椭圆夹杂的无限大双材料组合板的复势解。 |
| 4. | 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
作为特例，求出了界面含一条裂纹或刚性线夹杂时基体和夹杂区域复势的封闭形式解；同时计算了界面裂纹和刚性线尖端应力和电位移场强度因子。 |
| 5. | 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
采用各向异性体平面弹性理论中的复势方法，以faber级数为工具，得到了含多裂纹有限大板在任意载荷作用下应力场的级数解，并应用断裂力学方法确定裂纹尖端的应力强度因子；引入当量屈服应力考虑裂尖塑性区的影响，提出基于带屈服准则的剩余强度分析模型，能够充分考虑结构尺寸和裂纹之间相互作用对应力场的影响；通过数值计算详细讨论了结构尺寸和裂纹之间位置关系对应力强度因子和结构剩余强度的影响规律，得到了一系列对工程应用具有实用价值的结论。 |
| 6. | 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弹性力学复势理论的基础上提出一种处理复杂多连通域平面弹性与热弹性问题新的分析方法，将复变函数的分区全纯函数理论，复势奇性分析， riemann边值问题与cauchy型积分相结合，求得各分区复势的解析关系，将问题归结为一个初等复势函数方程的求解。 |
| 7. | 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
在该复势解的基础上，根据裂纹表面的零应力条件和理想粘接界面上的位移和应力连续条件，通过求解hilbert问题，得到了含有夹杂和半无限界面裂纹的无限大板的应力场，并由此给出了裂尖的应力强度因子k 。 |
| 8. | 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
首先基于经典层板理论，将复合材料层板的弹性问题化归为均匀各向异性板来求解；采用各向异性体平面弹性理论中的复势方法，以faber级数为工具，给出了有限大含椭圆核各向异性板弹性问题的级数解形式；利用杂交变分原理，成功导出含椭圆核各向异性板杂交应力有限元，并用算例验证了该单元的可行性和有效性；采用含刚度折减椭圆形弹性核的冲击损伤模型，引入基于特征曲线和yamada - sun破坏准则的点应力判据，建立了含损伤复合材料层板剩余强度的分析方法；通过数值计算详细讨论了各种几何参数对损伤层板应力分布、剩余强度的影响，得到了一系列对工程应用具有实用价值的结论。 |
| 9. | 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
分析了无穷远平面加载和线性温变的耦合效应，获得了椭圆夹杂体在无穷远平面均匀加载和均匀升温以及任意方向的均匀热流共同作用下的复势解答，并讨论了界面应力随各热载参数的变化规律，发现基体导热性能越好(与夹杂相比) ，界面应力幅值越大。 |
| 10. | 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
根据muskhelishvili的复势理论，结合裂面边界条件和位移单值条件，将受压构件的裂纹问题转化为对应的hilbert问题，并分别给出了在伪集中力作用下，不同裂面形态的基本解。 |
