论文信息 - Viscoplastic Deformation from the DAE Perspective ‐ a Benchmark Problem

Viscoplastic Deformation from the DAE Perspective ‐ a Benchmark Problem

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.

O. Scherf | B. Simeon

[1] Franz Gustav Kollmann,et al. An implicit time integration scheme for inelastic constitutive equations with internal state variables , 1986 .

[2] S. Bodner. Review of a Unified Elastic—Viscoplastic Theory , 1987 .

[3] S. R. Bodner,et al. Phenomenological Modeling of Hardening and Thermal Recovery in Metals , 1988 .

[4] S. Reese,et al. A comparison of three-dimensional continuum and shell elements for finite plasticity , 1996 .

[5] Peter Fritzen. Numerische Behandlung nichtlinearer Probleme der Elastizitäts- und Plastizitätstheorie , 1997 .

[6] W. Lucht,et al. Indexes and Special Discretization Methods for Linear partial Differential Algebraic Equations , 1999 .

[7] B. Simeon,et al. A higher-order time integration method for viscoplasticity , 1999 .