Explicit Analytic Solution for the Plane Elastostatic Problem with a Rigid Inclusion of Arbitrary Shape Subject to Arbitrary Far-Field Loadings

• Published in: Journal of elasticity Vol. 144; no. 1; pp. 81 - 105
• Main Authors: Mattei, Ornella, Lim, Mikyoung
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.04.2021; Springer Nature B.V
• Subjects: Automotive Engineering; Basis functions; Classical Mechanics; Conformal mapping; Coordinates; Elastostatics; Exact solutions; Mathematical analysis; Physics; Physics and Astronomy; Polynomials; Two dimensional bodies; Transmission problem; Faber polynomials; 30C55; Linear elasticity; 74B05; Lamé system

We provide an analytical solution for the elastic fields in a two-dimensional unbounded isotropic body with a rigid inclusion. Our analysis is based on the boundary integral formulation of the elastostatic problem and geometric function theory. Specifically, we use the coordinate system provided by...