A locking-free discontinuous Galerkin method for linear elasticity in locally nearly incompressible heterogeneous media

• Published in: Applied numerical mathematics Vol. 63; pp. 105 - 116
• Main Authors: Di Pietro, Daniele A., Nicaise, Serge
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.01.2013; Elsevier
• Subjects: Composite materials; Convergence; Design engineering; Discontinuous Galerkin method; Divergence; Elasticity; Estimates; Galerkin methods; Linear elasticity; Locking-free method; Mathematical models; Mathematics; Numerical Analysis; Tuning; Discontinuous Galerkin method; Composite materials; Linear elasticity; Locking-free method; locking-free method; linear elasticity; discontinuous Galerkin method; composite materials

In this work we consider the problem of numerical locking in composite materials featuring quasi-incompressible and compressible sections. More specifically, we start by extending a classical regularity estimate for the H1-norm of the divergence of the displacement field to the heterogeneous case. T...