平面

Based on the laminate theory, a laminate weakened by damage is treated as an anisotropic thin plate. Using the complex potential method in the plane theory of elasticity of an anisotropic body, the series solution of finite anisotropic thin plate containing an elliptical inclusion is proposed with the help of Faber series. A hybrid element with an elliptical inclusion for anisotropic materials is obtained by using the hybrid variable principle, and the element efficiency is verified by numerical examples. The state of the damage is modeled by an elliptical soft inclusion, and using the point stress criterion based on characteristic curve and Yamada-Sun etc. criteria, the prediction of the strength of a composite laminate with damage is set up. The effects of various parameters on the stress distribution and the residual strength of a composite laminate weakened by damage are detailedly studied.

首先基于经典层板理论，将复合材料层板的弹性问题化归为均匀各向异性板来求解；采用各向异性体平面弹性理论中的复势方法，以Faber级数为工具，给出了有限大含椭圆核各向异性板弹性问题的级数解形式；利用杂交变分原理，成功导出含椭圆核各向异性板杂交应力有限元，并用算例验证了该单元的可行性和有效性；采用含刚度折减椭圆形弹性核的冲击损伤模型，引入基于特征曲线和Yamada-Sun破坏准则的点应力判据，建立了含损伤复合材料层板剩余强度的分析方法；通过数值计算详细讨论了各种几何参数对损伤层板应力分布、剩余强度的影响，得到了一系列对工程应用具有实用价值的结论。

Based on the complex potential method about the plane theory of the elasticity of an anisotropic body, stress distributions in the plate with multiple cracks are obtained by using the conformal mapping and the Faber series expansion. The equivalence yield stress considers the effect on plastic zones. The Swift strip yield criteria is used to predict the residual strength of plate containing multiple collinear cracks.

采用各向异性体平面弹性理论中的复势方法，应用保角映射技术和Faber级数展开，导出在任意载荷作用下多裂纹板应力场的级数解，引入当量屈服应力修正裂尖塑性区，并利用Swift韧带屈服准则建立含共线分布多裂纹结构的剩余强度分析模型，计算结果与试验结果吻合较好。

Sea area measurement usually uses GPS timely processing the position data for the boundary of sea area,and then calculating the area of anomalistic area .

介绍几种求取平面不规则区域面积的方法，再推演出专用于计算海域面积的坐标法和方格法，并给出一种适合计算机计算的数点法。

This is mainly due to that pyrene ligand has better planar and aromatic character than anthracene.

这主要是由于配体芘比蒽具有更好的芳香性和平面型，可以使探针Ru-2更好的与DNA结合，使荧光增强。

Then anthracene derivatives were selected as ourresearch subject.

选择具有大平面高刚性的蒽基衍生物为本工作的主要研究目标。

By direct numerical simulation of Navier-Stokes equations we investigate the three-dimensional evolution of a mixing layer, the three-dimensional merger of two parallel vortex tubes and reconnection of two antiparallel vortex tubes in the thesis.

本文用拟谱方法求解Navier-Stokes方程，对小扰动下平面混合层随时间的演化、同向平行涡管的三维合并和反向平行涡管的重联进行了直接数值模拟。

Based on the basic elastic equations and series expansion, the paper presents the general solution of antiplane interface end.

利用位移函数的级数展开，对任意角度的反平面问题界面端的应力场进行了分析研究，得到了全场解。

Composite materials with doubly periodic rigid line inclusions under antiplane shear in an infinite medium are discussed.

利用微结构的周期性和平均应力/应变定理得到了复合材料有效反平面剪切模量的精确公式。

Antiplane problem ; interface end ; singularity index ; stress intensity factor.

反平面问题；界面端；奇异指数；应力强度因子

Doubly periodic piezoelectric inclusions in an infinite piezoelectric medium under antiplane shear is dealt with.

研究无限压电介质中双周期圆柱形压电夹杂的反平面问题。

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。