On the boundary integral equations for the crack opening displacement of flat cracks
Copyright policy )On the boundary integral equations for the crack opening displacement of flat cracks
The author considers the first kind boundary integral equations \(Du=f\) in a bounded smooth domain in the plane, where \(D\) is the hypersingular operator associated with the Helmholtz equation and the Lamé system, respectively. Regarding \(D\) is a pseudodifferential operator and computing its complete symbol, he proves a coerciveness estimate and a solvability result.
- École Polytechnique France
Wave scattering in solid mechanics, Systems of singular linear integral equations, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Fracture and damage, flat cracks, Integral representations of solutions to PDEs, pseudodifferential operator, first kind boundary integral equations, acoustic and elastic scattering, hypersingular operator, crack opening displacement, symbol, coerciveness estimate, Helmholtz equation, Pseudodifferential operators, Lamé system, solvability
Wave scattering in solid mechanics, Systems of singular linear integral equations, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Fracture and damage, flat cracks, Integral representations of solutions to PDEs, pseudodifferential operator, first kind boundary integral equations, acoustic and elastic scattering, hypersingular operator, crack opening displacement, symbol, coerciveness estimate, Helmholtz equation, Pseudodifferential operators, Lamé system, solvability
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