Abstract
Structures involving cracks of fractal geometry are studied here, on the assumption that at the interface unilateral contact and friction boundary conditions hold. Approximating the fractal by a sequence of classical surfaces or curves and combining this procedure with a two-level contact-friction algorithm based on the optimization of the potential and of the complementary energy, we get the solution of the problem after some appropriate transformations relying on the S.V.D.-decomposition of the equilibrium matrix. Numerical examples, using singular elements for the consideration of the crack singularity, illustrate the theory.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have