Limit of nonlinear Signorini problems for incompressible materials
Edoardo Mainini, Danilo Percivale, Robertus van der Putten
TL;DR
This paper investigates the linearization of nonlinear Signorini problems for incompressible materials and examines the conditions under which the limit functional aligns with the expected one using Gamma-convergence.
Contribution
It provides a detailed analysis of the linearization process and identifies specific cases where the limit functional matches the anticipated behavior.
Findings
Limit functional may coincide with the expected one only in particular cases.
Gamma-convergence used to analyze the limit behavior.
Insights into the nonlinear Signorini problem for incompressible materials.
Abstract
The paper is devoted to the linearization of the non linear Signorini functional in the incompressible case. The limit functional, in the sense of Gamma-convergence, may coincide with the expected one only in some particular cases.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsElasticity and Wave Propagation · Differential Equations and Numerical Methods · Advanced Mathematical Modeling in Engineering