A critical evaluation of numerical solutions to the ‘Benchmark’ surface-flaw problem

Recent precise, elastic numerical solutions to a surface flaw in a plate under remote tension and bending have been compared to arrive at a ‘best estimate’ of the stress-intensity-factor variation along the flaw border. The geometry of the semielliptical surface flaw examined had a depth to length ratio of 0.25 (a/2c=0.25) and 25- and 75-percent relative crack depths (a/t=0.25, 0.75). The analysis methods used to determine the solutions included: Schwarz alternating technique, finite-element method and boundary-integral-equation method. The derived best-estimate curve for the stress-intensity factor is believed within 3 percent of the actual value along the crack front. The best-estimate curve compared well with scarce experimental data (±10 percent). The difference between the best-estimate curve and experiment is thought largely due to differences in geometry and Poisson's ratio.     

NOTICE

1.The Journal Analysis in Theory and Applications(abbr.ATA used to be Approximation Theory and its Applications in1984-2002)publishes originalpapers     

功能纳米材料研究进展——唐智勇研究员及其团队专访

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