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Finite element analysis of viscoelastic structures using Rosenbrock-type methods.
- Source :
-
Computational Mechanics . Aug2007, Vol. 40 Issue 2, p383-398. 16p. 1 Diagram, 17 Graphs. - Publication Year :
- 2007
-
Abstract
- The consistent application of the space-time discretisation in the case of quasi-static structural problems based on constitutive equations of evolutionary type yields after the spatial discretisation by means of the finite element method a system of differential-algebraic equations. In this case the resulting system of differential-algebraic equations with the unknown nodal displacements and the evolution equations at all spatial quadrature points of the finite element discretisation are solved by means of a time-adaptive Rosenbrock-type methods leading to an iteration-less solution scheme in non-linear finite element analysis. The applicability of the method will be studied by means of a simple example of a viscoelastic structure. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01787675
- Volume :
- 40
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Computational Mechanics
- Publication Type :
- Academic Journal
- Accession number :
- 24823953
- Full Text :
- https://doi.org/10.1007/s00466-006-0117-y