A functional type a posteriori error analysis for the Ramberg-Osgood model. (English) Zbl 1128.74006

Bildhauer, Michael; Fuchs, Martin; Repin, Sergey

ZAMM, Z. Angew. Math. Mech. 87, No. 11-12, 860-876 (2007).

Summary: We discuss the weak form of Ramberg-Osgood equations (also known as Norton-Hoff model) for nonlinear elastic materials and prove functional type a posteriori error estimates for the difference of the exact stress tensor and any tensor from the admissible function space. These equations are of great importance since they can be used as an approximation for elastic-perfectly plastic Hencky materials.

MSC:

74B20	Nonlinear elasticity
74G45	Bounds for solutions of equilibrium problems in solid mechanics
74C05	Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
35Q72	Other PDE from mechanics (MSC2000)

Keywords:

Norton-Hoff model; variational methods; elastic-perfectly plastic Hencky materials

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