On the Riemann problem in fractal elastic media

Abstract:

In this paper we study a kind of Riemann problem for the Lamé–Navier system in the plane on a smooth as well as on a fractal closed contour. By using the Kolosov–Muskhelisvili formula, we reduce this problem to a pair of Riemann boundary value problems for analytic functions, and after that we get the necessary and sufficient conditions for the solvability of the problem and obtain explicit formulas for its solution.

Año de publicación:

2023

Keywords:

• Linear elasticity
• Kolosov–Muskhelishvili formula
• Riemann problem

Fuente:

scopus