The numerical solution of crack problems in plane elasticity in the case of loading discontinuities

✍ Scribed by N.I. Ioakimidis

• Publisher: Elsevier Science
• Year: 1980
• Tongue: English
• Weight: 660 KB
• Volume: 13
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(80)90003-x

✦ Synopsis

Ah&set-The direct quadrature method of numerical solution of Cauchy type singular integral equations encountered in plane elasticity crack problems is applied to the case where the loading distribution along the crack edges presents jump discontiouities. This is made by using a well-known modification of the quadrature method which is free of undesirable errors due to the loading discontinuities. Hence, the method is ideal to treat the aforementioned class of crack problems and, particularly, crack problems where the Dugdale-Bareoblatt elastic-perfectly plastic model is adopted. Finally, a numerical application of the method to the problem of a periodic array of cracks with a loading distribution presenting a jump discontinuity is made. The numerical results obtained in this problem compare favorably with the corresponding theoretical results available in this special problem.