Debonding of rigid curvilinear inclusions in longitudinal shear deformation

✍ Scribed by G.P. Sendeckyj

• Publisher: Elsevier Science
• Year: 1974
• Tongue: English
• Weight: 828 KB
• Volume: 6
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(74)90045-9

✦ Synopsis

The problem of two s~mnletric~Iffy placed intefface cracks at rigid curvilinear inclusions under f~~n~ittidin~~l shear deformation is considered. A solution valid for arbitrary in~ltlsion shapes is found, It depends on a parameter ,O describing the cracks. For fi = e"' where LY is an angle, the cracks lie in the interface. For @ real and greater than unity. we have two radial cracks ~rn~~n~itin~ from a curvilinear cavity. The solutjon for,6 = 1 corresponds to a ~ompletefy dehonded inclusion.

Exampfes of elliptic. square with rounded corners, and re~tan~lllar incfusjons are worked out in detail. It is shown that the crack tip stress intensity factor becomes in~nite for interface cracks term;nat~n~ at cusps and corners. This phenomenon is attributed to the change in the nature of the sin~ufa~ty as the crack tip approaches a cusp or corner. The singularity is three-quarter power at a cusp and two-thirds power at a corner of a rectangular inclusion. Finally, the application ofthe results to composite materials is indicated.