Abstract
This paper presents a new augmented finite element method (A-FEM) that enables efficient and accurate treatment of arbitrary, multiple intra-elemental discontinuities in composite materials with complex microstructures. The new A-FEM employs four internal nodes to account for the crack displacements due to an intra-elemental weak or strong discontinuity, and it permits repeated elemental augmentation to include multiple interactive cracks. It thus enables a unified treatment of damage evolution from a weak discontinuity to a strong discontinuity, and to multiple interactive cohesive cracks, all within a single element that employs standard external nodal degree of freedoms (DoFs) only. A novel elemental condensation procedure has been developed to solve the internal nodal DoFs as functions of the external nodal DoFs for any irreversible, piecewise linear cohesive laws. It leads to a fully condensed elemental equilibrium equation with mathematical exactness, eliminating the need for nonlinear equilibrium iterations at elemental level. The new A-FEM's high-fidelity simulation capabilities to interactive cohesive crack formation and propagation in homogeneous and heterogeneous solids have been demonstrated through several challenging numerical examples. It has shown that the new A-FEM, empowered by the novel elemental condensation procedure, is numerically very efficient, accurate, and robust.
| Original language | English (US) |
|---|---|
| Title of host publication | Numerical Modelling of Failure in Advanced Composite Materials |
| Publisher | Elsevier Inc. |
| Pages | 265-308 |
| Number of pages | 44 |
| ISBN (Print) | 9780081003428, 9780081003329 |
| DOIs | |
| State | Published - Aug 19 2015 |
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Keywords
- Augmented-FEM
- Cohesive zone models
- Composite failure
- Fracture
ASJC Scopus subject areas
- Engineering(all)
- Materials Science(all)
Cite this
A new augmented finite element method (A-FEM) for progressive failure analysis of advanced composite materials. / Yang, Qingda; Naderi, M.
Numerical Modelling of Failure in Advanced Composite Materials. Elsevier Inc., 2015. p. 265-308.Research output: Chapter in Book/Report/Conference proceeding › Chapter
}
TY - CHAP
T1 - A new augmented finite element method (A-FEM) for progressive failure analysis of advanced composite materials
AU - Yang, Qingda
AU - Naderi, M.
PY - 2015/8/19
Y1 - 2015/8/19
N2 - This paper presents a new augmented finite element method (A-FEM) that enables efficient and accurate treatment of arbitrary, multiple intra-elemental discontinuities in composite materials with complex microstructures. The new A-FEM employs four internal nodes to account for the crack displacements due to an intra-elemental weak or strong discontinuity, and it permits repeated elemental augmentation to include multiple interactive cracks. It thus enables a unified treatment of damage evolution from a weak discontinuity to a strong discontinuity, and to multiple interactive cohesive cracks, all within a single element that employs standard external nodal degree of freedoms (DoFs) only. A novel elemental condensation procedure has been developed to solve the internal nodal DoFs as functions of the external nodal DoFs for any irreversible, piecewise linear cohesive laws. It leads to a fully condensed elemental equilibrium equation with mathematical exactness, eliminating the need for nonlinear equilibrium iterations at elemental level. The new A-FEM's high-fidelity simulation capabilities to interactive cohesive crack formation and propagation in homogeneous and heterogeneous solids have been demonstrated through several challenging numerical examples. It has shown that the new A-FEM, empowered by the novel elemental condensation procedure, is numerically very efficient, accurate, and robust.
AB - This paper presents a new augmented finite element method (A-FEM) that enables efficient and accurate treatment of arbitrary, multiple intra-elemental discontinuities in composite materials with complex microstructures. The new A-FEM employs four internal nodes to account for the crack displacements due to an intra-elemental weak or strong discontinuity, and it permits repeated elemental augmentation to include multiple interactive cracks. It thus enables a unified treatment of damage evolution from a weak discontinuity to a strong discontinuity, and to multiple interactive cohesive cracks, all within a single element that employs standard external nodal degree of freedoms (DoFs) only. A novel elemental condensation procedure has been developed to solve the internal nodal DoFs as functions of the external nodal DoFs for any irreversible, piecewise linear cohesive laws. It leads to a fully condensed elemental equilibrium equation with mathematical exactness, eliminating the need for nonlinear equilibrium iterations at elemental level. The new A-FEM's high-fidelity simulation capabilities to interactive cohesive crack formation and propagation in homogeneous and heterogeneous solids have been demonstrated through several challenging numerical examples. It has shown that the new A-FEM, empowered by the novel elemental condensation procedure, is numerically very efficient, accurate, and robust.
KW - Augmented-FEM
KW - Cohesive zone models
KW - Composite failure
KW - Fracture
UR - http://www.scopus.com/inward/record.url?scp=84942928941&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84942928941&partnerID=8YFLogxK
U2 - 10.1016/B978-0-08-100332-9.00010-4
DO - 10.1016/B978-0-08-100332-9.00010-4
M3 - Chapter
SN - 9780081003428
SN - 9780081003329
SP - 265
EP - 308
BT - Numerical Modelling of Failure in Advanced Composite Materials
PB - Elsevier Inc.
ER -