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, Q. D.
N1 - Funding Information:
The authors are grateful to the support from the US Army Research Office (ARO grant no. W911NF- 13-1-0211). B.C.D. gratefully acknowledges a doctoral fellowship support from the Florida Space Grant Consortium (FSGC).
Publisher Copyright:
© 2016 The Author(s) Published by the Royal Society. All rights reserved.
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. Series A, Mathematical, physical, and engineering sciences
JF - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
SN - 0962-8428
IS - 2071
M1 - 20150282
ER -