计算力学学报Issue(4)：485-489,5.DOI:10.7511/jslx201504007
热弹性平面问题的规则化边界积分方程
Regularized boundary integral equations for thermoelastic problems
摘要
Abstract
This paper is mainly devoted to the research on the regularization of indirect BEM for two-dimensional thermoelastic problems.The regularized boundary integral equations (BIEs ) with indirect unknowns,which don’t involve the direct calculation of singular integrals,are established.Up to now,the universal researches for thermoelastic problems are focused on the direct BEM.Compared with these existing methods,the proposed algorithm has many advantages:(1)theC1,αcontinuity requirement for density function in the direct formulation can be relaxed to the C0,αcontinuity in the presented formulation;(2)the proposed method is easy to implement and more suitable for solving the thin body problems because the solution process doesn’t involve the HFP integrals and nearly HFP integrals,so regularized algorithms of integrals are generally more effective and implementary;(3 )the proposed regularized BIEs can be used for the calculation of the displacement gradients and stresses on the boun-dary,and but not limited to the tractions.Furthermore,they are independent of the displacement BIEs;(4)the domain integrals for thermal loads in the displacement gradient equations only involve the weak singularity.A systematic approach for implementing numerical solutions is presented by adopting the exact elements to depict the boundary geometry and discontinuous interpolating function to approximate the boundary quantities.Some benchmark examples show that a good precision and high computational efficiency can be achieved by the present method.关键词
边界元法/热弹性问题/热应力/间接变量边界积分方程Key words
BEM/thermoelastic problem/thermal stress/indirect boundary integral equation分类
数理科学引用本文复制引用
孙芳玲,张耀明,高效伟,董丽..热弹性平面问题的规则化边界积分方程[J].计算力学学报,2015,(4):485-489,5.基金项目
山东省自然科学基金(ZR2010AZ003) （ZR2010AZ003）
大连理工大学工业装备结构分析国家重点实验室开放基金(GZ1307)资助项目 （GZ1307）
