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薄板弯曲问题的基本解及其在断裂力学中的应用
THE FUNDAMENTAL SOLUTIONS FOR THIN PLATES AND THEIR APPLICATION IN PRACTURE ANALYSIS
【摘要】 本文基于Betti互等定理,给出一组薄板弯曲问题的基本解;它们都是薄板基本方程的奇异解。将它们应用于薄板弯曲断裂分析时,提供了一个求应力强度因子的新途径。本文引用了Hadamard积分主值概念。最后举了一个算例。
【Abstract】 Based on Betti’s reciprocal theorem, a set of fundamental solutions to bending problems have been given. They are singular solutions to fundamental equations of thin plates. By these fundamental solutions, a new way for computing the bending stress intensity factor is proposed. In this paper Hadamard’s principal value of the singular integral is used and an example is given.
【关键词】 基本解;
应力强度因子;
Hadamard积分主值;
【Key words】 Foundemental solution; Stress-Intensity Factor; Hadamard’s principal value.;
【Key words】 Foundemental solution; Stress-Intensity Factor; Hadamard’s principal value.;
- 【文献出处】 天津大学学报 ,Journal of Tianjin University , 编辑部邮箱 ,1988年04期
- 【被引频次】3
- 【下载频次】66