The scattering of general SH plane wave by interface crack between two dissimilar viscoelastic bodies

The scattering of general SH plane wave by an interface crack between two dissimilar viscoelastic bodies is studied and the dynamic stress,intensity factor at the crack-tip is computed. The scattering problem can be decomposed into two problems: one is the reflection and refraction problem of general SH plane waves at perfect interface (with no crack); another is the scattering problem due to the existence of crack. For the first problem, the viscoelastic wave equation, displacement and stress continuity conditions across the interface are used to obtain the shear stress distribution at the interface. For the second problem, the integral transformation method is used to reduce the scattering problem into dual integral equations. Then, the dual integral equations are transformed into the Cauchy singular integral equation of first kind by introduction of the crack dislocation density function. Finally, the singular integral equation is solved by Kurtz's piecewise continuous function method. As a consequence, the crack opening displacement and dynamic stress intensity factor are obtained. At the end of the paper, a numerical example is given. The effects of incident angle, incident frequency and viscoelastic material parameters are analyzed. It is found that there is a frequency region for viscoelastic material within which the viscoelastic effects cannot be ignored

Plane strain asymptotic fields for cracks terminating at the interface between elastic and pressure-sensitive dilatant materials

The plane strain asymptotic fields for cracks terminating at the interface between elastic and pressure-sensitive dilatant material are investigated in this paper. Applying the stress-strain relation for the pressure-sensitive dilatant material, we have obtained an exact asymptotic solution for the plane strain tip fields for two types of cracks, one of which lies in the pressure-sensitive dilatant material and the other in the elastic material and their tips touch both the bimaterial interface. In cases, numerical results show that the singularity and the angular variations of the fields obtained depend on the material hardening exponent n, the pressure sensitivity parameter mu and geometrical parameter lambda

弹塑性有限元的一些解法比较

1.弹塑性有限元分析的基本公式根据von Mises 屈服准则和Prandtl-Reuss塑性流动律,可以导出弹塑性阶段的应力增量-全应变增量之间的本构关系:{dσ}=[D_(eP)]{dε} (1)其中{dσ}为应力增量列阵,{dε}为应变增量列阵,[D_(eP)]为弹塑性系数矩阵,它的表达式为:其中(?)为有效应力,[D_e]为弹性系数矩阵,H=(?)/((?)~p)为有效应力和有效塑性应变曲线的斜率.增量形式的平衡方程为:[K]{△u}={△P} (3)其中[K]为总体刚度矩阵,{△u}为位移增量列阵,{△P}为外载荷增量列阵.2.几种解法方程(3)是非线性的.对于一般问题,精确求解比较困难.目前,一般都用近似法来求解.下面介绍几种解法

《环境流体力学进展》评介

2010年世界出版社出版了《环境流体力学进展》一书，书的编辑为塞尔维亚．Novi Sad大学农学院的气象和生物物理学教授D．T．Mihailovic和意大利Napo1i大学水力、岩土与环境工程系的环境水力学教授C．Gualtieri． 撰写本书的作者有40位，他们来自英国、加拿大、塞尔维亚、克罗地亚、捷克、希腊、匈牙利、西班牙、意大利、美国、斯洛文尼亚和葡萄牙等国的研究机构和大学，是环境流体力学领域的科学家、教师和工程师．因此，本书汇集了世界各国在环境流体力学领域的最新研究进展

颗粒增强复合材料的残余热应力分析和增韧效应

用两相复合球模型推导了颗粒增强复合材料的等效热膨胀系数,再用三相复合球模型得到了复合材料中颗粒和基体中的残余热应力的计算公式,所得的公式能较好地反映颗粒周围基体的不均匀应力分布,从而能较精确地计算颗粒复合材料中热残余应力的增韧效应

九节点四边形等参数单元

某些作者给出的数值结果表明,在单元形状不规则时,八节点和十二节点的四边形等参数单元的刚度变硬。因此,应用不规则单元所得的结果误差很大。计算结果没有由二个或四个六节点三角形组成的四边形所得的结果妤。本文表明,假使四边形单元是九节点单元,拉格朗日多项式作为插值函数,那么不规则单元所得的结果与规则单元所得的结果基本上一致。数值结果表明,九节点等参数单元比八节点、十二节点四边形等参数单元和由二个或四个六节点三角形组成的四边形单元好