Mesh distortion, locking and the use of metric trial functions for displacement type finite elements
IR@C-MMACS: CSIR-Centre for Mathematical Modelling and Computer Simulation, Bangalore
View Archive Info| Field | Value | |
| Title |
Mesh distortion, locking and the use of metric trial functions for
displacement type finite elements
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| Creator |
Kumar, Surendra
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| Subject |
Finite Element Analysis
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| Description |
The use of metric trial functions to represent the real stress field in what is called the
unsymmetric finite element formulation is an effective way to improve predictions from
distorted finite elements. This approach works surprisingly well because the use of
parametric functions for the test functions satisfies the continuity conditions while the use of
metric (Cartesian) shape functions for the trial functions ensures that the stress
representation during finite element computation can retrieve in a best-fit manner, the actual
variation of stress in the metric space. However, the issue of how to handle situations where
there is locking along with mesh distortion has never been addressed. In this paper, we show
that the use of a consistent definition of the constrained strain field along with the
unsymmetric approach can ensure a lock-free solution even when there is mesh distortion.
The three-noded Timoshenko beam element is used to illustrate the principles. Some
significant conclusions are drawn regarding the optimal strategy for finite element
modelling where distortion effects and field-consistency requirements have to be reconciled
simultaneously.
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| Publisher |
CSIR Centre for Mathematical Modelling and Computer Simulation
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| Date |
2007-04
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| Type |
Monograph
NonPeerReviewed |
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| Format |
application/pdf
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| Identifier |
http://cir.cmmacs.ernet.in/283/1/TRMeshDistLock1.pdf
Kumar, Surendra (2007) Mesh distortion, locking and the use of metric trial functions for displacement type finite elements. Technical Report. CSIR Centre for Mathematical Modelling and Computer Simulation , C-MMACS,Bangalore 560037,India. (Unpublished) |
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| Relation |
http://cir.cmmacs.ernet.in/283/
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