Crack singularities for general elliptic systems. (English) Zbl 1094.35038

General elliptic systems in a domain with a crack are considered. The method of investigation is based on reducing it to the investigation of characteristic matrices. The singularity exponents for general elliptic systems when boundary conditions on both sides of a crack are the same and for a self-adjoint strongly coercive systems when the boundary conditions on both sides of a crack are not the same.


35J55 Systems of elliptic equations, boundary value problems (MSC2000)
35B65 Smoothness and regularity of solutions to PDEs
74B05 Classical linear elasticity
74A45 Theories of fracture and damage
74G60 Bifurcation and buckling
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