| 1. | Equivalent boundary integral equations with direct variables for plane elasticity problems
平面弹性外问题的等价的直接变量边界积分方程 |
| 2. | Equivalent boundary integral equations with indirect variables for plane elasticity problems
平面弹性力学问题等价的间接变量边界积分方程 |
| 3. | It is well known that the construction of plate bending element is essentially more difficult than that of plane elasticity for the reason that the former has to meet the requirement of c1 continuity
由于c ~ 1连续性要求，薄板、薄壳的有限元构造比之平面弹性存在本质上的困难。 |
| 4. | A thorough study is exerted in this paper on the general method of transformation from plane elasticity displacement element , which is characterized by its simple formulation and sound reliability , to plate bending element
本文充分研究了将平面弹性位移法单元转化为板弯曲单元的一般方法。平面弹性单变量位移元具有列式简单、可靠性好的优点。 |
| 5. | Since the similarity between plane elasticity and plate bending is a special case of the static - geometric analogy , this paper , therefore , studies the new formulation based on the static - geometric analogy in a broad sense
平面弹性和板弯曲的相似性是壳体静力?几何比拟的特例，所以在总的意义下本文就是研究基于板壳静力?几何比拟理论的新型板壳单元列式。 |
| 6. | Using the similarity between plane elasticity and plate bending , this paper successfully fulfils the identification of rolling vector and establishes a general method , the curvature lumping method , to represent the rolling vector by the use of simple displacements vector
利用平面弹性和板弯曲的相似性，本文实现了角卷向量的辨识并得到了用简单位移向量表示角卷向量的一般方法?曲率堆集法，打通了与有限元通用程序的接口。 |
| 7. | In order to avoid the difficulty in computing the general inverse of flexible matrix in legendre transformation , this paper studies the mixed coordinates formulation for some quadrilateral plate bending elements instead of fully formulating in ( e , n ) plane for their original plane elasticity elements
为了克服legendre变换中对单元柔度阵求广义逆的困难，对于原平面弹性单元是在参考坐标系中列式的情形，本文研究了在弯矩函数空间的混合坐标列式。 |
| 8. | Lastly the above stiffness matrix , the nodal variables of which are the dual of stress functions , is replaced by a new one with simple displacements vector regarded as unknown . such finite element satisfies homogeneous equilibrium equations and can pass the patch test as long as the original plane elasticity element can pass the corresponding patch test
所得到的板弯曲单元在单元内部满足齐次平衡方程，并且只要原始平面弹性单元能通过常应变分片试验则转换得到的板单元一定能通过常曲率分片试验。 |
| 9. | In the first place , with the similarity theory , a bridge is set up between plane elasticity and plate bending to transform those good plane elasticity elements into plate bending elements ; then with the guiding theory of the static - geometric analogy , a new methodology of thin shell element is presented
研究的目的和解决方案首先是利用相似性理论在平面弹性有限元与板弯曲有限元之间建立一道桥梁，则可以将平面弹性中性能良好的单元转化为板弯曲单元。之后可以在此基础上以壳体的静力?几何比拟为指导理论构造新型薄壳单元。 |
| 10. | The method removes the bottleneck of transformation from complementary energy element with stress functions vector to potential energy element with simple displacements vector . what is the most important about this method is that it never destroys the original convergence of the transformed plane elasticity element and that it can maintain the original precision
本文方法列式简单，所得板弯曲单元皆可通过常曲率分片试验、有正确的刚体运动模式并具有与原始平面弹性单元相称的良好精度，从而达到了将平面弹性单元转化为板弯曲单元的目的。 |
