平面

By using of complex variable and integral equation methods, the antiplane multiple elliptical holes and multiple cracks problem of infinite region was considered in the paper.

在覆盖域的概念基础上，建立了椭圆孔边受单位集中力的反平面剪切问题的基本解，解决了无限域中含任意个椭圆孔和裂纹的反平面问题。

How general production descent speak antiplane mill, ensure that the number of plane error, the consumer to misunderstanding.

生产裔一般讲如何磨出平面，保证平面误差在多少之内，把使用者带到误区。

By using of complex variable function and integral equation method, the antiplane multiple holes and cracks problem of half plane region is considered in this paper.

运用复变函数及积分方程方法，求解了半平面域多圆孔多裂纹反平面问题。

Results/Conclusion Their complex potential expressions of matrix of piezoelectric/piezomagnetic composites are derived, and the evidence for energy release rate of piezoelectric/piezomagnetic composites under the combined action of antiplane shear and inplane electrical field and magnetic field is provided.

结果／结论给出了压电压磁弹性复合材料基体的复式表达式，并为计算受反平面剪切和平面内电场、磁场共同作用下的压电压磁复合材料能量释放率提供依据。

The edge internal branch crack problems for half-plane in antiplane elasticity arc solved with complex potentials and singular integral equation approach.

利用复变函数和奇异积分方程方法，求解反平面弹性中半平面边缘内分叉裂纹问题。

With the adoption of the rate-sensitive constitutive relationship, it is asymptotically investigated the propagating tip fields of plane strain mode Ⅰ,Ⅱ and antiplane mode Ⅲ crack under the condition of incompressibility, and the dynamics equations are obtained separately governing the stress and strain fields at the crack-tip.

采用这种率敏感型本构关系，本文对不可压缩条件下平面应变Ⅰ型、Ⅱ型和反平面Ⅲ型扩展裂纹的尖端场进行了渐近分析，分别求得了其裂纹尖端应力和应变场的动力学控制方程。

II.Based on the above fundamental solutions,the fundamental solutions ofplane and antiplane problems in two dimensional elasticity body are constructedunitedly by using the reduce dimension technique of integration and consideringtwo dimensional problems as particular cases of three dimensional ones.

将二维问题视为三维问题的特殊情形，由三维问题的基本解，采用积分降维技巧，统一导出了平面问题及反平面问题的单位集中不连续位移基本解；建立了一般边界积分方程；完成了相应的不连续位移边界元方法；给出了在断裂力学中的应用。

In the second chapter, elementary theories and ideas of one step forming inverse approach were described and warped modification method, implemented by Cook, was introduced into one step forming simulation and based on idea of surface spreading; new quadrilateral element modification arithmetic was put forward. By spreading warped quadrilateral onto plane in local coordinate system, a plane quadrilateral element whose shape and area were equal to original warped quadrilateral element was gotten and internal force vectors of four nodes and stiffness matrix of elements were improved to increase precision of simulations on this plane element.

第二章从一步成形逆有限元法的基本理论和思想出发，将Cook基于弹性理论的四边形单元的翘曲修正算法引入基于塑性的一步成形，并且基于曲面展开的思想，本文提出一种新的四节点单元翘曲修正方案，通过把翘曲的单元展开的方法在局部参考系中得到一个与实际翘曲单元的形状与面积非常接近的平面单元，在该平面单元中进行单元刚度及内力向量的计算，进一步改善模拟结果的精度。

A plane cubic curve having a single loop, a node, and two ends asymptotic to the same line .

平面立方曲线平面的立方曲线，具有一个拱形、一个交点和逐渐接近同一条线的两个端点

The flap of an envelope.A plane cubic curve having a single loop, a node, and two ends asymptotic to the same line.

平面立方曲线平面的立方曲线，具有一个拱形、一个交点和逐渐接近同一条线的两个端点

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。