Analysis of cracks perpendicular to bimaterial interfaces using a novel finite element

✍ Scribed by S. A. Meguid; M. Tan; Z. H. Zhu

• Publisher: Springer Netherlands
• Year: 1995
• Tongue: English
• Weight: 998 KB
• Volume: 73
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00039848

✦ Synopsis

Inverse square root, l/x/7, singularity characterizes the stress field at the crack tip of homogeneous isotropic elastic media. This 1/x/7 singularity does not, however, hold for cracks present in inhomogeneous solids; such as, a crack terminating at a right angle to bimaterial interface, which is the subject of the current paper. A few attempts have been made to treat this problem analytically. However, in view of the complexity of the resulting equations and the numerical difficulties associated with these attempts, only a very limited number of approximate solutions exist. It is therefore the objective of this study to: (i) provide a comprehensive theoretical treatment of the current boundary value problem using the eigenfunction expansion method, and (ii) to utilize the results of the eigenfunction method to develop a novel singular finite element which is capable of treating cracks terminating