| 1. | Analytical solutions for three dimensional elasticity problems are quite difficult to obtain .
三维弹性问题的解析解是很难得到的。 |
| 2. | Analytical solution of three - dimensional elasticity problem
三维弹性问题的解析解 |
| 3. | Three dimensional elasticity analysis of a functionally graded rectangular plate
功能梯度矩形板的三维弹性分析 |
| 4. | The numerical modeling of 3 - d elastic wave equation using a high - order , staggered - grid , finite difference scheme
交错网格高阶差分法三维弹性波数值模拟 |
| 5. | This paper discusses the shape optimization problem of 3 - d elastic contact objects in theory using bem , and analyses the real contact problem of bears and rolls
本文以边界元法作为应力分析工具，对三维弹性接触物体的形状优化问题进行了理论上的探讨，并对直齿轮接触问题、滚子接触问题进行了实际分析。 |
| 6. | The low cost track , which consists of the traditional wide - sleeper tack , ballast bed with rubber bits and the elastic packing material between sleepers , is a new type with three - dimensional elasitic support
摘要介绍以传统的宽枕轨道框架、碎橡胶道床、枕端无遮挡弹性定位和枕间弹性材料密封装配成的，具有三维弹性支撑的碎橡胶道床轨道。 |
| 7. | This paper discusses the optimization problem of 3 - d elastic contact objects in theory using bem , and analyze the real contact problem of helical gears . the author developed the program which is necessary for the stresses analyses
本文以边界元法作为应力分析工具，对三维弹性接触问题的形状优化问题进行了理论上的探讨，并对斜齿轮接触问题进行了实际分析。 |
| 8. | In this paper , on the base of paraxial approximations , we present a set of absorbing boundary conditions of 3d elastic wave equations and apply to the 3d elastic wave numerical modeling in isotropic medium
本文基于傍轴近似法提出了计算三维弹性波方程的吸收边界条件公式，表示了各边界面、边棱和角点处波场所满足的单程波方程，并在三维弹性波数值模拟中进行了应用。 |
| 9. | The author developed and made advanced the common program 3dcbem , selected cvm as the optimize algorithm . a integrated shape optimization software system of 3 - d elastic contact program based on 3dcbem was constructed
作者完善和发展了三维弹性物体接触应力通用边界元分析程序3dcbem ；选取约束变尺度法作为优化算法，构建了一个完整的三维弹性接触问题形状优化软件系统。 |
| 10. | From the feature of the force and deformation of the tpih , 5 different elements are used to mesh the different zones of the tube , which are structural beam 3d elastic 4 , structural pipe plastic straight 20 , structural pipe elastic elbow 18 , structural shell elastic 4 node 63 and contact 3d pt - to - surf 49 ; the contact problem is assumed to be flexible - to - flexible ; the temperature field is assumed to be body load . a mechanical model corresponding to reality has been established for numerical simulation . based on the above , the 3 - d fem numerical simulation of tpih has been carried out by using the ansys program
针对加热弯管过程的受力和变形特点，采用三维梁单元、三维塑性直管单元、三维弹性曲管单元、三维壳单元与三维点对面接触单元等5种不同的单元分别对管毛坯不同区域进行划分，并对接触单元采用柔体-柔体的处理方法，将温度场作为体载荷处理，建立了符合实际的加热弯管问题数值模拟力学模型：在此基础上，应用商用软件ansys对加热弯管过程进行三维有限元模拟与研究，获得了成形时推力、弯矩、支撑力大小及其变化趋势。 |
