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Article

Sysala, Stanislav ; Haslinger, Jaroslav ; Repin, Sergey
Reliable computation and local mesh adaptivity in limit analysis. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Rozložník, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 24-29, 2018. Institute of Mathematics CAS, Prague, 2019. pp. 149-158
MSC: 49M15, 74C05, 74S05, 90C25 | DOI: 10.21136/panm.2018.16
Keywords:
limit analysis; von Mises yield criterion; penalization; finite element method; Newton-like method; local mesh adaptivity
Summary:
The contribution is devoted to computations of the limit load for a perfectly plastic model with the von Mises yield criterion. The limit factor of a prescribed load is defined by a specific variational problem, the so-called limit analysis problem. This problem is solved in terms of deformation fields by a penalization, the finite element and the semismooth Newton methods. From the numerical solution, we derive a guaranteed upper bound of the limit factor. To achieve more accurate results, a local mesh adaptivity is used.
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