Computer-generated formulae for the location of straight cracks

✍ Scribed by Nikolaos I. Ioakimidis

• Book ID: 103072027
• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 328 KB
• Volume: 51
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(94)00324-b

✦ Synopsis

Al~traet~Complex path-independent integrals have been widely used for the location of cracks, holes and inclusions in ]?lane isotropic elasticity problems. Here a much simpler and more direct approach, applicable to particular inverse straight crack problems in infinite elastic media, is suggested. This approach is b~ised on the use of experimental data for the derivative of the first complex potential of Kolosov-Muskhelishvili from only a few points of the elastic specimen (not along a whole closed contour) and, next, on the construction of appropriate polynomial equations for the determination of the position of the crack tips, the stress-intensity factors, etc. These equations can be derived by using computer algebra methods (e.g. Grrbner bases and characteristic sets) and the related commercially available software (e.g. Maple V). The present elementary approach is illustrated in two simple cases of straight cracks and the related formulae are displayed. Further possibilities are also suggested in brief.