Augmented finite-element method for arbitrary cracking and crack interaction in solids under thermo-mechanical loadings
Abstract
In this paper, a thermal–mechanical augmented finite-element 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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jul 13, 2016
- Source ID
- 10.1098/rsta.2015.0282
Entities
People
- B. C. Do
- Junoh Jung
- Qingda Yang
Organizations
- Army Research Office
- Florida Space Grant Consortium