A boundary value problem for an infinite elastic strip with a semi-infinite crack. (English) Zbl 1018.74033

Itou, Hiromichi; Tani, Atusi

J. Elasticity 66, No. 3, 193-206 (2002).

Summary: We study a boundary value problem for an infinite elastic strip with a semi-infinite crack. By using the single and double layer potentials, this problem is reduced to a singular integral equation, which is uniquely solved in Hölder spaces by Fredholm alternative.

MSC:

74R10	Brittle fracture
74B05	Classical linear elasticity
74G25	Global existence of solutions for equilibrium problems in solid mechanics (MSC2010)
74G30	Uniqueness of solutions of equilibrium problems in solid mechanics

Keywords:

plane elasticity; boundary value problem; single layer potentials; uniqueness; infinite elastic strip; semi-infinite crack; double layer potentials; singular integral equation; Hölder spaces; Fredholm alternative