Details
| Original language | English |
|---|---|
| Title of host publication | CISM International Centre for Mechanical Sciences, Courses and Lectures |
| Publisher | Springer International Publishing AG |
| Pages | 131-177 |
| Number of pages | 47 |
| Publication status | Published - 2009 |
Publication series
| Name | CISM International Centre for Mechanical Sciences, Courses and Lectures |
|---|---|
| Volume | 509 |
| ISSN (Print) | 0254-1971 |
| ISSN (Electronic) | 2309-3706 |
Abstract
This contribution is concerned with the formulation of mixed finite elements discretization schemes for nonlinear problems of solid mechanics. Thus continuum mechanics for solids is described in the first section to provide the necessary background for the numerical method. This includes necessary kinematical relations as well as the balance laws with their weak forms and the constitutive equations. The second section then describes mixed discretization schemes which can be applied to simulate nonlinear elastic problems including finite deformations.
Keywords
- Element Discretization Scheme, Mixed Finite Element, Mixed Finite Element Discretization, Mixed Finite Element Method, Nonlinear Elastic Problem
ASJC Scopus subject areas
- Mathematics(all)
- Modelling and Simulation
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computer Science Applications
Cite this
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CISM International Centre for Mechanical Sciences, Courses and Lectures. Springer International Publishing AG, 2009. p. 131-177 (CISM International Centre for Mechanical Sciences, Courses and Lectures; Vol. 509).
Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
}
TY - CHAP
T1 - Mixed finite element methods
T2 - Theory and discretization
AU - Wriggers, Peter
PY - 2009
Y1 - 2009
N2 - This contribution is concerned with the formulation of mixed finite elements discretization schemes for nonlinear problems of solid mechanics. Thus continuum mechanics for solids is described in the first section to provide the necessary background for the numerical method. This includes necessary kinematical relations as well as the balance laws with their weak forms and the constitutive equations. The second section then describes mixed discretization schemes which can be applied to simulate nonlinear elastic problems including finite deformations.
AB - This contribution is concerned with the formulation of mixed finite elements discretization schemes for nonlinear problems of solid mechanics. Thus continuum mechanics for solids is described in the first section to provide the necessary background for the numerical method. This includes necessary kinematical relations as well as the balance laws with their weak forms and the constitutive equations. The second section then describes mixed discretization schemes which can be applied to simulate nonlinear elastic problems including finite deformations.
KW - Element Discretization Scheme
KW - Mixed Finite Element
KW - Mixed Finite Element Discretization
KW - Mixed Finite Element Method
KW - Nonlinear Elastic Problem
UR - http://www.scopus.com/inward/record.url?scp=85051435061&partnerID=8YFLogxK
U2 - 10.1007/978-3-211-99094-0_5
DO - 10.1007/978-3-211-99094-0_5
M3 - Contribution to book/anthology
AN - SCOPUS:85051435061
T3 - CISM International Centre for Mechanical Sciences, Courses and Lectures
SP - 131
EP - 177
BT - CISM International Centre for Mechanical Sciences, Courses and Lectures
PB - Springer International Publishing AG
ER -