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Viscoplastic Deformation from the DAE Perspective ‐ a Benchmark Problem
Author(s) -
Scherf O.,
Simeon B.
Publication year - 1999
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19990791305
Subject(s) - viscoplasticity , benchmark (surveying) , finite element method , deformation (meteorology) , mathematics , perspective (graphical) , algebraic equation , differential algebraic equation , differential equation , computer science , mathematical optimization , mathematical analysis , ordinary differential equation , geometry , physics , nonlinear system , engineering , structural engineering , constitutive equation , geology , geodesy , quantum mechanics , meteorology
Viscoplastic deformation is characterized by a combined system of balance and evolution equations. The application of the Finite Element Method results in a Differential‐Algebraic Equation (DAE) in time. The paper summarizes the most important points of the mathematical model and presents a benchmark problem for numerical comparisons. As computational example, the BDF‐2 method with stepsize control is applied.

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