General solutions of a central crack in a strip sandwiched between two different outer layers

✍ Scribed by X.S. Zhang

• Publisher: Elsevier Science
• Year: 1987
• Tongue: English
• Weight: 458 KB
• Volume: 28
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(87)90183-4

✦ Synopsis

ln order to sufficiently discuss the result of interface cracks in bimaterial systems, we shall first give the general solution? of a strip with a central crack sandwiched between two dissimilar outer layers subjected to plane extension or in-plane shear alone. With the help of the special case of this problem, the result of a central crack at the interface between two different media under the normal stress or shear stress may easily be found. It is more important to find the conclusion again. that the stress intensity factors K, and Kn cannot appear at the same time in an infinite plate weakened hy a central crack at the interface between two dissimilar layers. and that they are independent of material constant< under normal or shear stress only.

X. S. ZHANG Employing (2.36) and (2.37), the stress intensity factor is (3.9)1

Assuming that the bimaterial systems with the central crack is subjected to the concentrated forces P at the point x = xl on the crack surface forming a self-balanced system, it may be found that &=I _.

J a + XI 7rU"2 a-x,' Krt = 0.

(3.10P