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Pre-Publicación 2022-32

Franz Chouly, Tom Gustafsson, Patrick Hild:

A Nitsche method for the elastoplastic torsion problem


This study is concerned with the elastoplastic torsion problem, in dimension n>=1, and in a polytopal, convex or not, domain. In the physically relevant case where the source term is a constant, this problem can be reformulated using the distance function to the boundary. We combine the aforementioned reformulation with a Nitsche-type discretization as in [Burman, Erik, et al. Computer Methods in Applied Mechanics and Engineering 313 (2017): 362-374]. This has two advantages: 1) it leads to optimal error bounds in the natural norm, even for nonconvex domains; 2) it is easy to implement within most of finite element libraries. We establish the well-posedness and convergence properties of the method, and illustrate its behavior with numerical experiments.

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Esta prepublicacion dio origen a la(s) siguiente(s) publicación(es) definitiva(s):

Franz CHOULY, Tom GUSTAFSSON, Patrick HILD: A Nitsche method for the elastoplastic torsion problem. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 57, pp. 1731-1746, (2023).