光子晶体光纤在熔接夹具中的受力分析

运用接触力学和圆环压溃强度理论对由V型槽固定的光子晶体光纤进行了受力分析。分别考虑了两种极限情况,以推导光纤中的应力分布。第一种情况假设光纤是完全由纯石英材料制成的内部均匀的实芯圆柱体;第二种情况是把光纤假设成一个空芯圆柱体。根据这两种极限情况推导出了光子晶体光纤受力后光纤内部的最大应力点位于平行于接触面的外层空气孔的附近。采用有限元方法验证了此结论,计算出了光子晶体光纤可能承受的最大压力,并给出了光子晶体光纤在V型槽中的应力分布和变形情况。     

The indenter tip radius effect in micro- and nanoindentation hardness experiments.

Nix and Gao established an important relation between the microindentation hardness and indentation depth. Such a relation has been verified by many microindentation experiments (indentation depths in the micrometer range), but it does not always hold in nanoindentation experiments (indentation depths approaching the nanometer range). Indenter tip radius effect has been proposed by Qu et al. and others as possibly the main factor that causes the deviation from Nix and Gao's relationship. We have developed an indentation model for micro- and nanoindentation, which accounts for two indenter shapes, a sharp, conical indenter and a conical indenter with a spherical tip. The analysis is based on the conventional theory of mechanism-based strain gradient plasticity established from the Taylor dislocation model to account for the effect of geometrically necessary dislocations. The comparison between numerical result and Feng and Nix's experimental data shows that the indenter tip radius effect indeed causes the deviation from Nix-Gao relation, but it seems not be the main factor. The project supported by the National Natural Science Foundation of China (10121202) and the Ministry of Education of China (20020003023)     

卫星用复合材料压力容器力学特性研究

为了研究航天复合材料压力容器内衬与复合材料双层壳体的力学特性,通过优化复合材料网格理论算法,针对钛合金内衬(TC4)/碳纤维(T1000GB)缠绕柱形复合材料压力容器进行了应力应变特性分析.以纤维预紧应力为自变量,研究其对内衬/纤维双层壳体在预紧压力、工作压力、验证压力和爆破压力下应力的影响,提出了优化设计的解析解法,...     

微分求积法计算双材料反平面V形切口应力奇性指数

首次将微分求积法应用到工程断裂力学的研究领域,运用该方法计算了双材料反平面V形切口端部区域的应力奇性指数.首先基于弹性力学理论,将反平面V形切口端部应力奇性指数的计算转化为常微分方程组的特征值问题,再由微分求积法理论将常微分方程组的特征值问题转化为标准型广义代数方程组的特征值问题,由QR法可一次性计算出双材料反平面V形...     

基于有限元模拟的超声应力系数标定及分析*

应力系数的标定作为超声应力检测最为关键的环节,直接决定应力检测结果的准确性。传统的应力系数试验标定对于被测物的表面粗糙度、耦合剂厚度、声匹配块与被测物接触力等因素十分敏感,但缺少基本参照值。基于COMSOL建立多物理场耦合的超声应力检测模型,施加不同的拉伸载荷,计算临界折射纵波到达时间与不同应力值之间的关系,模拟标定45#钢的超声应力系数为13.7MPa/ns。单轴水平拉伸试验标定的45#钢应力系数为16.5MPa/ns。结果表明,通过两种方法标定的应力系数较为接近,试验标定的应力系数偏大,这是由于有限元方法能够消除试验过程中各种不确定因素对声时精确测量所造成的影响,能够更加纯粹的反映材料的声弹性效应,因此具有作为基础数据的参考价值。有限元方法作为传统试验方法的补充,可以减小试验标定数据的离散性,提高超声应力检测结果的可信度。     

半连续格的性质

讨论了半连续格的一些基本性质。定义了一种新的元素——-素元,举例说明-素元与素元、伪素元是不同的,并给出了-素元与素元、伪素元相等的条件;同时,定义了半连续格上的拓扑和半连续格之间的映射,并证明了半连续格的收缩仍是半连续的。     

点阵材料微极连续介质模型的应力优化设计

在将二维周期性点阵类材料等效为具有非局部化本构的微极连续介质的基础上,运用优化技术,探讨了基于材料相对密度和微单胞特征尺度两类变量的优化结构应力的方法,给出了针对最小化结构关键部位应力、结构最大应力最小化、最大化结构关键部位安全储备三类特定目标的结构与材料一体化协同优化结果．利用圆板小孔应力集中的数值算例验证了方法的有效性．     

Application of scaled boundary finite element method in static and dynamic fracture problems

The scaled boundary finite element method (SBFEM) is a recently developed numerical method combining advantages of both finite element methods (FEM) and boundary element methods (BEM) and with its own special features as well. One of the most prominent advantages is its capability of calculating stress intensity factors (SIFs) directly from the stress solutions whose singularities at crack tips are analytically represented. This advantage is taken in this study to model static and dynamic fracture problems. For static problems, a remeshing algorithm as simple as used in the BEM is developed while retaining the generality and flexibility of the FEM. Fully-automatic modelling of the mixed-mode crack propagation is then realised by combining the remeshing algorithm with a propagation criterion. For dynamic fracture problems, a newly developed series-increasing solution to the SBFEM governing equations in the frequency domain is applied to calculate dynamic SIFs. Three plane problems are modelled. The numerical results show that the SBFEM can accurately predict static and dynamic SIFs, cracking paths and load-displacement curves, using only a fraction of degrees of freedom generally needed by the traditional finite element methods.The project supported by the National Natural Science Foundation of China (50579081) and the Australian Research Council (DP0452681)The English text was polished by Keren Wang.     

半平面多边缘裂纹反平面问题的奇异积分方程

利用复变函数和奇异积分方程方法,求解弹性范围内半平面多边缘裂纹的反平面问题．提出了满足半平面边界自由的由分布位错密度表示的单边缘裂纹的基本解,此基本解由主要部分和辅助部分组成．将半平面多边缘裂纹问题看作是许多单边缘裂纹问题的叠加,建立了一组Cauchy型奇异积分方程．然后,利用半开型积分法则求解该奇异积分方程,得到了裂纹端处的应力强度因子．最后,给出了几个数值算例．     

吸收湿气对微电子塑料封装影响的研究进展

微电子塑料封装中常用的聚合物材料因易于吸收周围环境中的湿气而对器件本身的可靠性带 来很大影响, 本文回顾了封装材料中湿气扩散、湿应力及蒸汽压力的产生这3个互相联系过 程的研究情况, 从理论分析、特征参数描述及其实验测定、有限元模拟分析的角度来分别予 以介绍.从已有的理论分析与实验结果中可以看出, 塑封材料吸收湿气会给器件的可靠性带 来诸多影响, 湿气的吸收、扩散、蒸发等过程, 实验测量, 以及由湿气带来的其它相关问题正 成为微电子封装可靠性研究领域中的新热点, 受到越来越多的关注与重视.