正交各向异性材料切口尖端热弹奇性特征分析

计算物理 ›› 2016, Vol. 33 ›› Issue (4): 419-426.

正交各向异性材料切口尖端热弹奇性特征分析

姚善龙, 程长征, 牛忠荣

合肥工业大学土木与水利工程学院, 安徽合肥 230009

收稿日期:2015-06-17 修回日期:2015-11-09 出版日期:2016-07-25 发布日期:2016-07-25
作者简介:姚善龙(1989-),男,博士生,主要从事计算力学和复合材料力学研究,E-mail:yaoshl@126.com;程长征(1979-),男,博士,教授,主要从事计算力学和复合材料力学研究,E-mail:changzheng.cheng@hfut.edu.cn
基金资助:
国家自然科学基金（11372094，11272111）资助项目

Thermo-elastic Singularity Analysis on V-notches in Orthotropic Materials

YAO Shanlong, CHENG Changzheng, NIU Zhongrong

School of Civil and Hydraulic Engineering, Hefei University of Technology, Hefei 230009, China

Received:2015-06-17 Revised:2015-11-09 Online:2016-07-25 Published:2016-07-25

摘要/Abstract

摘要： 研究正交各向异性平面V形切口，计算其热弹奇性特征.通过引入切口尖端物理场的渐近级数展开式，将应力和热流平衡方程转化为关于奇性指数的特征常微分方程组，采用插值矩阵法求解，获取切口尖端的热流、应力奇性指数和对应的特征角函数.算例表明，该法精度高适应性强.

关键词: 正交各向异性, 切口, 热弹性, 奇异性

Abstract: Thermo-elastic singularities of V-notches in orthotropic materials are studied. By introducing series asymptotic expansions of physics fields near notch tip, stress and flux equilibrium equations are transformed into characteristic ordinary differential equations with respect to singularity orders. Singularity orders and corresponding characteristic angular functions can be derived synchronously as interpolating matrix method is introduced to solve characteristice quations. The method evaluates stress and flux singularity orders at the same time. Numerical results show that it has high accuracy and strong adaptability.

Key words: orthotropic, V-notch, thermo-elastic, singularity

中图分类号:

O343.6

姚善龙, 程长征, 牛忠荣. 正交各向异性材料切口尖端热弹奇性特征分析[J]. 计算物理, 2016, 33(4): 419-426.

YAO Shanlong, CHENG Changzheng, NIU Zhongrong. Thermo-elastic Singularity Analysis on V-notches in Orthotropic Materials[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 33(4): 419-426.

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