Implementation of Field- and Edge- Consistent QUAD4 element in FINEART Mathematical Modelling and Computer Simulation Sub Task 1 – Computational Mechanics
IR@C-MMACS: CSIR-Centre for Mathematical Modelling and Computer Simulation, Bangalore
View Archive Info| Field | Value | |
| Title |
Implementation of
Field- and Edge- Consistent QUAD4 element in
FINEART
Mathematical Modelling and Computer Simulation
Sub Task 1 – Computational Mechanics
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| Creator |
G, Prathap
P, Jafar Ali V, Senthilkumar |
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| Subject |
Finite Element Analysis
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| Description |
This report presents the use of two conceptual principles, the field-consistency requirement and the edge-consistency requirement, as the basis for deriving a 4-noded quadrilateral plate bending element based on Mindlin plate theory using Jacobian transformations only. The derivation is now free of the use of such devices as strain-interpolation points and Hrennikoff strain reference lines, etc., which have been the basis for many recent formulations of this element. The shear strain constraints are now consistently defined within the element domain, and 'tangential' shear strains are consistently matched at element boundaries so that there is no locking even under extreme distortion-for example, even when two nodes are collapsed so that the quadrilateral becomes a triangle. Numerical experiments show that this synthesis produces an element that should be identical to other recent formulations of this element based on tensorial transformations or on shear constraint condensation on the edges, but now given a more complete and formal logical basis. This report discusses about the implementation of this field- and edge- consistent 4-noded quadrilateral plate bending element in FINEART program. Details of the numerical examples solved to validate the implementation of this element have also been presented.
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| Publisher |
SERC, Chennai
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| Date |
2004-09
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| Type |
Monograph
NonPeerReviewed |
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| Format |
application/pdf
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| Identifier |
http://cir.cmmacs.ernet.in/230/1/CMM20%2DST1%2DSERC%2D01%2D04.pdf
G, Prathap and P, Jafar Ali and V, Senthilkumar (2004) Implementation of Field- and Edge- Consistent QUAD4 element in FINEART Mathematical Modelling and Computer Simulation Sub Task 1 – Computational Mechanics. Project Report. SERC, Chennai, SERC, Chennai. (Unpublished) |
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| Relation |
http://cir.cmmacs.ernet.in/230/
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