| 卢炎麟,黄鲜萍,姜献峰,潘柏松,冯小青.三维热权函数法和多虚拟裂纹扩展技术[J].计算力学学报,2003,20(3):302~308 |
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| 三维热权函数法和多虚拟裂纹扩展技术 |
| 3-D thermal weight function method and multiple virtual crack extension technique |
| 修订日期：2001-11-03 |
| DOI：10.7511/jslx20033059 |
| 中文关键词: 三维热权函数法 多虚拟裂纹扩展技术 应力强度因子 热冲击 断裂力学 |
| 英文关键词:thermal weight function method,stress intensity factor,thermal shock,3-D thermal weight function,multiple virtual crack extension method |
| 基金项目:国家自然科学基金(59775031,50075083)，浙江省自然科学基金(595080)，浙江工业大学科学研究中心(199910)资助项目. |
| 卢炎麟 黄鲜萍 姜献峰 潘柏松 冯小青 |
| 浙江工业大学机电工程学院，浙江工业大学机电工程学院，浙江工业大学机电工程学院，浙江工业大学机电工程学院，浙江工业大学机电工程学院 杭州310014，杭州310014，杭州310014，杭州310014，杭州310014 |
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| 中文摘要: |
| 热权函数法直接利用温度场与热权函数的乘积的积分来求应力强度因子(SIF)的过渡过程，它可以免除对每一时刻进行热弹性力学有限元或边界元应力分析，计算效率大大提高。本文给出了三维热权函数法的基本方程，并提出了求解三维热权函数法基本方程的多虚拟裂纹扩展法(MVCE法)。在MVCE法中，可以引入无穷多个虚拟裂纹扩展模式；虚拟裂纹扩展模式与应力强度因子的插值直接相联系，所得到的方程组的系数矩阵是一个三对角矩阵，具有良好的计算性能。它对于裂纹前缘SIF分布急剧变化的情况，有良好的数值模拟能力。实例计算表明，MVCE法具有权高的计算效率，并具有很高的计算精度。 |
| 英文摘要: |
| The 3\|D thermal weight function (TWF) method was introduced to calculate the transient stress intensity factors (SIFs) of a body subjected to the thermal shock. By means of this method, the distributions of thermal SIFs can be determined through the direct integration of the products of TWF and temperature fields. The repeated determinations of stress fields for the individual time instants, which should usually be determined by FEM or BEM, can thus be avoided. The basic equation of 3\|D TWF method was given. A novel technique, which will be referred to as the multiple virtual crack extension (MVCE) method, is proposed for solving this equation. In the MVCE method, the unlimited numbers of linearly independent virtual crack extension modes can be introduced, and the interpolations of SIFs are directly concerned with these modes. The obtained coefficient matrix of these equations is a triple\|diagonal matrix, which possesses good computational properties. The situations in which the SIF varies dramatically along crack fronts can be well numerically simulated. The examples show that very high efficiency as well as good accuracy can be achieved by the proposed method. |
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