Anti-plane States in an Anisotropic Elastic Body Containing an Elliptical Hole

摘要: One considers an unbounded, anisotropic elastic body containing elliptical hole free from external loads but loaded by shear stresses far the hole. The anti-plane equilibrium of is determined using complex representation states and conformal mapping technique. solution obtained in compact, elementary form. verifies direct calculus that satisfies all boundary conditions. When smaller semiaxis tends to zero; i.e. becomes classical Griffith-Irwin crack; potential for elliptic case then crack problem solving corresponding Riemann-Hilbert problem.