焦散法求解应力强度因子的非线性最小二乘法

A Nonlinear Least-Square Technique for Solving the Stress Intensity Factors of Cracks by Method of Caustics

摘要: 提出了用非线性最小二乘法提高焦散线法求解混合型裂纹应力强度因子的精度.推导了有关方程,编制了有关程序,阐述了实验技术.用三类典型裂纹试件作为应用实例进行了实验与计算.结果表明,用此法可比P.S.Theocaris法求得更准确的结果.

Abstract: A nonlinear least-square technique for solving the stress Intensity Factors(SIFs) of mixd mode cracks using the caustic method was presented, in this paper, the control equation was derived, computation program was organized and the experimental techniques were described. As the applied examples, three typical cracked specimers were tested. The nonlinear least-square method isbetter than optical method of P.S.Theocaris'.