Stress-strain state of a cracked elastic wedge under anti-plane deformation with mixed boundary conditions on its faces
作者： Suren M. Mkhitaryan , Noune Melkoumian , Ben B. Lin
关键词: Geometry 、 Elasticity (physics) 、 Wedge (geometry) 、 Stress intensity factor 、 Integral equation 、 Mathematics 、 Mathematical analysis 、 Boundary problem 、 Plane stress 、 Boundary value problem 、 Singular integral
摘要: A problem about the stress-strain state of an elastic wedge with arbitrary angel opening, when on its bisector there is a system finite number collinear cracks, studied by means theory elasticity. The anti-symmetric mixed boundary conditions given both wedge-faces, together forces applied to cracks' surfaces are provoking anti-plane deformation wedge. displacement components for same group nonintersecting intervals each wedge-face and stress rest faces. formulated as known harmonic functions half-wedge because symmetry relative bisector. solution this derived in closed form using Mellin integral transformation combination methods singular equations. Based density displacements' dislocations surfaces, intensity factors, stresses those where displacements given, other characteristics investigating determined explicit analytical formulas. Particular cases discussed well.
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