Abstract
In this paper, a thermal-mechanical augmented finiteelement method (TM-AFEM) has been proposed, implemented and validated for steady-state and transient, coupled thermal-mechanical analyses of complex materials with explicit consideration of arbitrary evolving cracks. The method permits the derivation of explicit, fully condensed thermal- mechanical equilibrium equations which are of mathematical exactness in the piece-wise linear sense. The method has been implemented with a 4-node quadrilateral two-dimensional (2D) element and a 4-node tetrahedron three-dimensional (3D) element. It has been demonstrated, through several numerical examples that the new TM-AFEM can provide significantly improved numerical accuracy and efficiency when dealing with crack propagation problems in 2D and 3D solids under coupled thermal- mechanical loading conditions. This article is part of the themed issue 'Multiscale modelling of the structural integrity of composite materials'.
| Original language | English (US) |
|---|---|
| Article number | 20150282 |
| Journal | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
| Volume | 374 |
| Issue number | 2071 |
| DOIs | |
| State | Published - Jul 13 2016 |
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Keywords
- Augmented finite-element method
- Cohesive zone models
- Composites
- Fracture
ASJC Scopus subject areas
- Mathematics(all)
- Physics and Astronomy(all)
- Engineering(all)
Cite this
Augmented finite-element method for arbitrary cracking and crack interaction in solids under thermo-mechanical loadings. / Jung, J.; Do, B. C.; Yang, Qingda.
In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 374, No. 2071, 20150282, 13.07.2016.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Augmented finite-element method for arbitrary cracking and crack interaction in solids under thermo-mechanical loadings
AU - Jung, J.
AU - Do, B. C.
AU - Yang, Qingda
PY - 2016/7/13
Y1 - 2016/7/13
N2 - In this paper, a thermal-mechanical augmented finiteelement method (TM-AFEM) has been proposed, implemented and validated for steady-state and transient, coupled thermal-mechanical analyses of complex materials with explicit consideration of arbitrary evolving cracks. The method permits the derivation of explicit, fully condensed thermal- mechanical equilibrium equations which are of mathematical exactness in the piece-wise linear sense. The method has been implemented with a 4-node quadrilateral two-dimensional (2D) element and a 4-node tetrahedron three-dimensional (3D) element. It has been demonstrated, through several numerical examples that the new TM-AFEM can provide significantly improved numerical accuracy and efficiency when dealing with crack propagation problems in 2D and 3D solids under coupled thermal- mechanical loading conditions. This article is part of the themed issue 'Multiscale modelling of the structural integrity of composite materials'.
AB - In this paper, a thermal-mechanical augmented finiteelement method (TM-AFEM) has been proposed, implemented and validated for steady-state and transient, coupled thermal-mechanical analyses of complex materials with explicit consideration of arbitrary evolving cracks. The method permits the derivation of explicit, fully condensed thermal- mechanical equilibrium equations which are of mathematical exactness in the piece-wise linear sense. The method has been implemented with a 4-node quadrilateral two-dimensional (2D) element and a 4-node tetrahedron three-dimensional (3D) element. It has been demonstrated, through several numerical examples that the new TM-AFEM can provide significantly improved numerical accuracy and efficiency when dealing with crack propagation problems in 2D and 3D solids under coupled thermal- mechanical loading conditions. This article is part of the themed issue 'Multiscale modelling of the structural integrity of composite materials'.
KW - Augmented finite-element method
KW - Cohesive zone models
KW - Composites
KW - Fracture
UR - http://www.scopus.com/inward/record.url?scp=84973097932&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84973097932&partnerID=8YFLogxK
U2 - 10.1098/rsta.2015.0282
DO - 10.1098/rsta.2015.0282
M3 - Article
AN - SCOPUS:84973097932
VL - 374
JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
SN - 0962-8428
IS - 2071
M1 - 20150282
ER -