The treatment of “pinching locking” in 3D-shell elements
Dominique Chapelle; Anca Ferent; Patrick Le Tallec
ESAIM: Mathematical Modelling and Numerical Analysis (2010)
- Volume: 37, Issue: 1, page 143-158
- ISSN: 0764-583X
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topChapelle, Dominique, Ferent, Anca, and Le Tallec, Patrick. "The treatment of “pinching locking” in 3D-shell elements." ESAIM: Mathematical Modelling and Numerical Analysis 37.1 (2010): 143-158. <http://eudml.org/doc/194150>.
@article{Chapelle2010,
abstract = {
We consider a family of shell finite elements with quadratic displacements
across the thickness. These elements are very attractive, but
compared to standard general shell elements they face another source
of numerical locking in addition to shear and membrane locking. This
additional locking phenomenon – that we call “pinching locking” – is the
subject of this paper and we analyse a numerical strategy designed to overcome
this difficulty. Using a model problem in which only this specific source
of locking is present, we are able to obtain error estimates
independent of the thickness parameter, which shows that pinching locking
is effectively treated. This is also confirmed by some numerical experiments
of which we give an account.
},
author = {Chapelle, Dominique, Ferent, Anca, Le Tallec, Patrick},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Numerical locking; shell finite elements; mixed formulation.; pinching locking; mixed formulation; quadratic displacements; thickness parameter; error estimates},
language = {eng},
month = {3},
number = {1},
pages = {143-158},
publisher = {EDP Sciences},
title = {The treatment of “pinching locking” in 3D-shell elements},
url = {http://eudml.org/doc/194150},
volume = {37},
year = {2010},
}
TY - JOUR
AU - Chapelle, Dominique
AU - Ferent, Anca
AU - Le Tallec, Patrick
TI - The treatment of “pinching locking” in 3D-shell elements
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 37
IS - 1
SP - 143
EP - 158
AB -
We consider a family of shell finite elements with quadratic displacements
across the thickness. These elements are very attractive, but
compared to standard general shell elements they face another source
of numerical locking in addition to shear and membrane locking. This
additional locking phenomenon – that we call “pinching locking” – is the
subject of this paper and we analyse a numerical strategy designed to overcome
this difficulty. Using a model problem in which only this specific source
of locking is present, we are able to obtain error estimates
independent of the thickness parameter, which shows that pinching locking
is effectively treated. This is also confirmed by some numerical experiments
of which we give an account.
LA - eng
KW - Numerical locking; shell finite elements; mixed formulation.; pinching locking; mixed formulation; quadratic displacements; thickness parameter; error estimates
UR - http://eudml.org/doc/194150
ER -
References
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