| 1. | Programming of isoperimetric quadrilateral element based on matlab
的四结点等参元的编程 |
| 2. | At the same time , the computing program is written by vc + + . in the program quadrilateral isoparametric element is used to calculate its temperature field and thermal stress field
选取四边形等参元来计算轴对称问题中的温度场和热应力场，用vc + +编制计算程序。 |
| 3. | And compared with the quadrangular isoparametric element , the manifold element ( t1 - 0 ) can give more accurate initial pore pressure and displacement and have a vast prospect of application
与等价四边形等参元相比， t1 - 0流形元能给出精度更高的初期孔压和位移。 |
| 4. | Otherwise , the existence of the bolt element adds no trouble on the division of the mesh . based on the aforementioned theory , the relevant formulae and program of fem are developed
论文中，作者根据等参元理论建立了三结点锚杆单元计算公式，并研制了相应的有限元计算程序。 |
| 5. | Similarly , the new method was applied to analyses three - dimensional entity structures . the hexahedron element with 8 nodes was selected to solve the structures . some examples were listed , and the results show that cellular element method can solve space problems well
同时，还应用该方法分析三维实体结构，以8节点六面体等参元为例进行了数值试验和讨论，证明该方法在弹性力学空间问题中的应用同样是有效的。 |
| 6. | In this paper , 8 - node isoparametric quadrilateral element is used to divide the soil and retaining structure . comparing to practical engineering , the numerical method - finite element method is used to analyze every behavior of deep foundation excavating and retaining in loess area
本文采用八结点四边形等参元来离散土体与围护结构，用有限元数值方法，对照实际工程，对黄土地区深基坑开挖与支护体系的各种性状进行了分析。 |
| 7. | Numerical results all indicate that the two axisymmetric finite elements exhibit better numerical precision , excellent performance at the nearly incompressible limit and distortions of the element geometry , and element performances are improved after optimization . the layout of this thesis is follows
具体表现是：对畸变网格有很好的适应性；计算可靠，不发生poissonlocking现象；对双线性等参元的粗网格精度有很好的改善。 |
| 8. | The streamlines of the flow are obtained from an exact analytical treatment of the stokes equations by making use of finite element methods and complex function theory . based on the calculations , the formation and evolution of vortices in the flow are visualized
运用有限元方法,从斯托克斯方程,连续性方程和流函数方程出发,通过有限元离散、等参元映射、数值积分和牛顿迭代,得到有限元方程的精确数值解,利用后处理软件对得到的数值结果进行了可视化处理。 |
| 9. | The 16 - node degenerated iso - parametric element is proposed for the analysis of raft foundation with mid - thick plate . the stiffness matrix of single pile among the pile group can be founded assuming the total contact between the plate and the foundation . and the results of stress and deformation of plate , the force on pile and the settlement of pile bottom can be solved after the finite element disperse for the plate and the establishment of balance equation of pile - raft interaction
在引入16节点退化等参元的中厚板筏板分析模型的基础了，假定筏板与地基间完全接触，建立了群桩中单桩桩身刚度矩阵，继而对筏板进行有限元离散得到桩筏共同作用的平衡方程，从而求解筏板内力、挠度、桩顶反力、桩端沉降等一系列结果。 |
| 10. | The paper establishes mathematics model of electromagnetic heating system of eddy current field and temperature field , and gives corresponding discrete format with elements as eight nodes , hexahedron equal cell , through calculating eddy - current field to gain the internal heat source that the temperature field needed , to use discrete method to solve the problem of induction - heating part ' s temperature field by axial symmetrical electromagnetic , and then to analyze the characteristic of instantaneous temperature field
本文建立了电磁加热系统的涡流场和温度场间接耦合的数学模型，分析了不同频率下涡流和温度的分布情况，并以八节点六面体等参元为例给出了涡流场对应的离散格式，通过计算涡流场获得温度场所需要的内热源强度，加热部件的温度场以轴对称格式进行离散求解，并对瞬态温度场有限单元法的求解特点进行了分析。 |
