面向对象有限元方法研究进展

综述了面向对象有限元方法的研究现状。基于国内外大量相关文献，首先评述了有限元方法的面向对象分析过程（OOA），包括对象的识别，对象属性，方法和关系的确定等等。其次涉及有限元方法的面向对象设计过程（OOD），具体讨论了人机交互，任务管理和数据管理等内容。再次讨论了有限元方法的面向对象编程过程（OOP），如编程语言的选择，面向对象有限元的应用和集成等问题。此外还延拓到面向对象方法增强有限元软件的表现，面向对象有限元的扩展等。最后展望该方法的发展动态。     

单变量有限元的新思考：精化直接刚度法

对单变量有限元和多变量有限元进行了综合分析和比较。其中包括有限元法的单元的可靠性问题：收敛性，坐标不变性，伪零能模式；单元的性能；计算精度，对畸变网格的适应性及解除闭锁、解的晃动现象等问题，进一步对单变量有限元提出新的思考，有精化直接刚度法发展变量有限元，使之能兼备单变量有限元与多变量有限元之长，克服两者之短。     

理性有限元

提出了与常规有限元迥然不同的理性有限元列式，其方法论的差别在于理性有限元充分考虑了力学的微分方程，用方程的解来逼近单元内部场，即以力学的需求为主导，再用相应的数学方法推导，并用理性平面四边形元ＲＱ４为典型予以表述，数值结果表明理性有限元的优越性质。     

一种高效的有限元自动编程工具——FEPG系统

有限元编程工具———ＦＥＰＧ系统的功能在于实现由计算机自动产生有限元ＦＯＲＴＲＡＮ程序．它突破了目前有限元程序只适用于特定领域和特定问题的限制．有限元编程者只需输入有限元方法所需的各种表达式和公式，即可自动产生有限元计算的全部程序，免去了大量的繁琐的编程劳动．ＦＥＰＧ系统保证所产生的有限元程序的正确性和统一性．ＦＥＰＧ系统能够产生国际上最先进算法的程序．采用计算机自动编程是未来有限元方法发展的必然趋势     

面向对象有限元程序的类设计

传统有限元程序设计中的许多问题可以通过面向对象程序设计方法加以解决。本文介绍了我们尝试采用ＢｏｒｌａｎｄＣ＋＋２．０进行的一种面向对象有限元程序设计，着重进行有限元程序的类划分与定义，并将几个典型的类设计成类等级。面向对象语言的继承性、封装性、多态性等特性在我们的程序设计中均得到了运用。与传统的有限元程序（通常采用Ｆｏｒｔｒａｎ）相比，面向对象有限元程序更加结构化、更易于编写、更易于维护和扩充，程序代码的可重用成分更大，它为开发大型有限元分析软件提供了一条新途径     

一种高效的有限元自动编程工具——FEPG系统

有限元编程工具———ＦＥＰＧ系统的功能在于实现由计算机自动产生有限元ＦＯＲＴＲＡＮ程序．它突破了目前有限元程序只适用于特定领域和特定问题的限制．有限元编程者只需输入有限元方法所需的各种表达式和公式，即可自动产生有限元计算的全部程序，免去了大量的繁琐的编程劳动．ＦＥＰＧ系统保证所产生的有限元程序的正确性和统一性．ＦＥＰＧ系统能够产生国际上最先进算法的程序．采用计算机自动编程是未来有限元方法发展的必然趋势     

非线性拟协调元与杂交／混合元：Ⅰ．关于Hellinger－Reissner变分原理

给出了非线性拟协调有限元列式方法，将非线性拟协调有限元与基于Ｈｅｌｌｉｎｇｅｒ－Ｒｅｉｓｓｎｅｒ变分原理的杂交／混合有限元进行了比较。     

关于粘弹性结构和复合结构有限元动力学方程的探讨

对粘弹性结构有限元动力学方程和复合结构有限元动力学方程进行了探讨。对于粘弹性结构有限元动力学方程，研究了表示成MCK形式的可能性，并对几种典型模型进行了分析研究。根据对阻尼的假设，给出了考虑弹性材料阻尼及结构外部粘性阻尼的拉氏域内弹性－－粘弹性复合结构有限元动力学方程。     

非线性拟协调元与杂交／混合元：Ⅱ．关于Hu－Washizu变分原理

讨论了增量Ｈｕ－Ｗａｓｈｉｚｕ变分原理，给出了基于Ｈｕ－Ｗａｓｈｉｚｕ变分原理的非线性杂交／混合有限元列式，将非线性拟协调有限元与基于Ｈｕ－Ｗａｓｈｉｚｕ变分原理的非线性杂交／混合有限元进行了比较。     

一种新的金属压缩试验方法的有限元分析

对一种新的金属压缩试验方法进行了有限元数值分析，论证了这种方法的可行性和有性，并且对不同尺寸的试件进行了有限元计算．     

The interaction of plane SH-waves and circular cavity surfaced with lining in anisotropic media

In this paper, we use the complex function method for solving the problem of interaction of plane SH-waves and circular cavity surfaced with lining in anisotropic media. Anisotropic media can be used to simulate the conditions of the geology. This problem can be handled by using the method similar to that incorporated in Ref. [5] to define the scattering waves in media, added with the given boundary condition of the circular cavity. In this paper, as illustrated in the examples, the results and discussions of numerical studies have been done for the interaction of plane SH-waves and two kinds of circular cavities, surfaced with lining made up of different materials, in anisotropic media.     

THE INTERACTION OF PLANE SH－WAVES AND CIRCULAR CAVITY SURFACED WITH LINING IN ANISOTBOPIC MEDIA

ＴＨＥＩＮＴＥＲＡＣＴＩＯＮＯＦＰＬＡＮＥＳＨ－ＷＡＶＥＳＡＮＤＣＩＲＣＵＬＡＲＣＡＶＩＴＹＳＵＲＦＡＣＥＤＷＩＴＨＬＩＮＩＮＧＩＮＡＮＩＳＯＴＢＯＰＩＣＭＥＤＩＡＨａｎＦｅｎｇ（韩峰）Ｗｅｉｙａｎｇ（韦扬）ＬｉｕＤｉａｎｋｕｉ（刘殿魁）（Ｒｅｃｅｉ...     

Stability of shallow anisotropic shells of revolution

The paper outlines a method of analyzing layered anisotropic shells of revolution for stability using complex Fourier series. This simplifies the derivation of the basic equations compared with complete trigonometric Fourier series. Anisotropic shells in the form of a torus segment are analyzed for stability. This method allows optimizing the structure of the material and the geometry of the shell     

改进力法计算的研究

针对传统力法的缺点, 利用VBA进行了Excel电子表格的编制, 对传统力法 进行了改进. 在保持传统力法的基本原理和计算过程的基础上, 解决了力法计算繁琐的问题, 提高了计算速度和学习效率, 增强了结构力学课程与实际的联系, 对工科课程的教学具有一 定的指导意义.     

THE INTERACTION OF PLANE SH－WAVES AND NON－CIRCULAR CAVITY SURFACED WITH LINING IN ANISOTROPIC MEDIA

ＴＨＥＩＮＴＥＲＡＣＴＩＯＮＯＦＰＬＡＮＥＳＨ－ＷＡＶＥＳＡＮＤＮＯＮ－ＣＩＲＣＵＬＡＲＣＡＶＩＴＹＳＵＲＦＡＣＥＤＷＩＴＨＬＩＮＩＮＧＩＮＡＮＩＳＯＴＲＯＰＩＣＭＥＤＩＡＳｈｉＳｈｏｕｘｉａ（史守峡）；ＨａｎＦｅｎｇ（韩峰）；ＷａｎｇＺｈｅｎｑｉｎ...     

点支承四边自由各向异性平行四边形板自由振动、屈曲和弯曲分析

一个精确的重富立叶级数解析解用于分析四边形自由的点支横观各向异性平行四边形板的自由振动、屈曲和弯曲。解析解用叠加法得到,此解收敛迅速。与现有结果的比较证实了由本法得到的解析解的精确性。文后用图表给出高精度的自由振动、屈曲和弯曲计算结果。     

On the dynamics of coiled linear macromolecules

Summary The mean Oseen's tensor of the hydrodynamic interaction between any two beads in the modified Rouse subchain model is calculated using a conditional distribution function for the interbeads distances in shear flow obtained in this paper.With the so obtained anisotropic tensor the effective hydrodynamic resistance tensor, or the effective diffusion tensor, of a bead and of the entire molecule are calculated and discussed.

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Zusammenfassung Der mittlere Oseensche Tensor der hydrodynamischen Wechselwirkungen zwischen zwei beliebigen Perlen im modifizierten Rouse-Subkettenmodell wird mit Hilfe der in dieser Arbeit abgeleiteten bedingten Verteilungsfunktion für die Abstände zwischen den Perlen berechnet.Mit diesem anisotropen Tensor werden die Tensoren des effektiven hydrodynamischen Widerstands bzw. die effektiven Diffusionstensoren für eine Perle und für das ganze Molekül berechnet und diskutiert.

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With 1 figure     

Stress singularity analysis of anisotropic multi-material wedges under antiplane shear deformation using the symplectic approach

Symplectic approach has emerged a popular tool in dealing with elasticity problems especially for those with stress singularities. However, anisotropic material problem under polar coordinate system is still a bottleneck. This paper presents a subfield method coupled with the symplectic approach to study the anisotropic material under antiplane shear deformation. Anisotropic material around wedge tip is considered to be consisted of many subfields with constant material properties which can be handled by the symplectic approach individually. In this way, approximate solutions of the stress and displacement can be obtained. Numerical examples show that the present method is very accurate and efficient for such wedge problems. Besides, this paper has extended the application of the symplectic approach and provides a new idea for wedge problems of anisotropic material.     

On the Riemann-Green function

Conclusion In this report I have, I believe, covered all the known methods of finding the Riemann-Green function and have listed all the known cases, apart from trivial changes of the dependent or independent variables. I should like to take this opportunity of thanking Harvard University and the staff of the Harvard Department of Mathematics for their kind hospitality during the Fall Semester of 1957–58, which gave me the leisure to complete this work, and also Dr. A. G. Mackie of the University of St. Andrews for the many interesting discussions we had concerning the contour integral method of § 9.This research was supported partly by the United States Air Force through the Air Force Office of Scientific Research of the Research and Development Command, under Contract No. AF 18(600)-1461.     

Two-dimensional electroelastic fundamental solutions for general anisotropic piezoelectric media

I.IntroductionDuetotheirintrinsiccouplingeffectbetweenmechanicalandelectricalfields,piezoelectricmaterialshavebeenwidelyusedintechnologyastransducersandsensorsand,morerecently,asactuatorsinsmartstructures.lnordertooptimizetheirmicrostructuresandunderstand…