Circular-arc cracks in bi-material plates under bending

✍ Scribed by A. B. Perlman; G. C. Sih

• Book ID: 104654502
• Publisher: Springer Netherlands
• Year: 1967
• Tongue: English
• Weight: 593 KB
• Volume: 3
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00183951

✦ Synopsis

On the basic of the Poisson-Kirchhoff theory of thin plates, boundary problems of hi-material plates bonded along circular arc segements are reduced to the solution of the non-homogeneous Hilbert problem in complex function theory. The unbonded portions of the interface may be regarded as flaws or crack-like imperfections of some kind. Using the properties of Plemelj formulas and Cauchy integrals, sectionally holomorphic functions are obtained for one or mote cracks distributed along the circumference of a circle dividing two different materials.

The results suggest the possibility of using current fracture theories to predict the failure of thin plates containing circular inserts of another material partially joined along a finite number of arcs. For illustration, stress-intensity factors employed in the Griffith-Irwin theory of fracture are computed,