TY - JOUR
T1 - A stabilized formulation for incompressible plasticity using linear triangles and tetrahedra
AU - Chiumenti, M.
AU - Valverde, Q.
AU - Agelet de Saracibar, C.
AU - Cervera, M.
PY - 2004/8
Y1 - 2004/8
N2 - In this paper, a stabilized finite element method to deal with incompressibility in solid mechanics is presented. Both elastic and J2-plastic constitutive behavior have been considered. A mixed formulation involving pressure and displacement fields is used and a continuous linear interpolation is considered for both fields. To circumvent the Babuška-Brezzi condition a stabilization technique based on the orthogonal sub-scale method is introduced. The main advantage of the method is the possibility of using linear triangular or tetrahedral finite elements, which are easy to generate for real industrial applications. Results are compared with standard Galerkin and Q1P0 mixed formulations in either elastic or elasto-plastic incompressible problems.
AB - In this paper, a stabilized finite element method to deal with incompressibility in solid mechanics is presented. Both elastic and J2-plastic constitutive behavior have been considered. A mixed formulation involving pressure and displacement fields is used and a continuous linear interpolation is considered for both fields. To circumvent the Babuška-Brezzi condition a stabilization technique based on the orthogonal sub-scale method is introduced. The main advantage of the method is the possibility of using linear triangular or tetrahedral finite elements, which are easy to generate for real industrial applications. Results are compared with standard Galerkin and Q1P0 mixed formulations in either elastic or elasto-plastic incompressible problems.
KW - Incompressibility
KW - Orthogonal sub-grid scales
KW - Plasticity
KW - Stabilized finite element method
UR - http://www.scopus.com/inward/record.url?scp=2142641638&partnerID=8YFLogxK
U2 - 10.1016/j.ijplas.2003.11.009
DO - 10.1016/j.ijplas.2003.11.009
M3 - Article
AN - SCOPUS:2142641638
SN - 0749-6419
VL - 20
SP - 1487
EP - 1504
JO - International Journal of Plasticity
JF - International Journal of Plasticity
IS - 8-9
ER -