摘要
目的确定在双材料中由具有均匀本征应变的任意多个夹杂引起的热弹性场.方法利用Papkovitch-Neuber调和势函数得到无限大体中热膨胀夹杂产生的弹性场,通过应变核等基本解和镜像法得到双材料中多夹杂引起的热弹性场.结果阐述两相材料界面的效应、夹杂与界面的距离、弹性模量以及夹杂形状尺寸等参数对弹性场的影响.结论给出的应力公式和分布曲线,可扩展以建立双材料中热应力问题的断裂破坏准则,能有效地用来确定在双材料中由具有均匀本征应变的任意多个夹杂引起的热弹性场.
The thermalelastic field due to dilative inclusion in homogeneous medium is given by Papkovitch- Neuber harmonic potential functions. Furthermore the displacement and the stress field caused by single dilative inclusion in bimaterial are obtained from the fundamental solutions such as nuclei of strain by image method. The thermalelastic stress field caused by multiple spherical inclusions with uniform dilatational eigenstrains in bimaterial is found from the separate solutions of individual precipitate. In this paper the effect of the planner interface with parameters of depth from the interface, both pairs of elastic moduli and also shapes of the inclusion are also given, which are of great significance in physical applications. Our result leads to the conclusion that the method used in this article can be utilized to predict the elastic fields resulting from arbitrarily located inclusions with uniform dilatational eigenstrains in bimaterials reliably.
出处
《沈阳建筑大学学报（自然科学版）》
CAS
2006年第3期367-370,401,共5页
Journal of Shenyang Jianzhu University：Natural Science
基金
辽宁省教育厅科学研究青年基金(05L365)
