366
A. Agrawal et al.
Acknowledgements This work has been supported through a grant No. FA9550-12-1-0445 to the
Center of Excellence on Integrated Materials Modeling (CEIMM) at Johns Hopkins University
(partners JHU, UIUC, UCSB), awarded by the AFOSR/RSL (Computational Mathematics Program, Manager Dr. A. Sayir) and AFRL/RX (Monitors Dr. C. Woodward and C. Przybyla).
References
1. P.K. Mallick, Fiber Reinforced Composites: Materials, Manufacturing, and Design, 3rd edn.
(CRC Press, Boca Raton, FL, 2007)
2. C. Montgomery, Multiscale characterization of carbon fiber-reinforced epoxy composites.
Ph.D. thesis, Department of Materials Science and Engineering, University of Illinois at
Urbana-Champaign (2018)
3. S. Zacek, D. Brandyberry, A. Klepacki, C. Montgomery, M. Shakiba, M. Rossol, A. Najafi,
X. Zhang, N. Sottos, P. Geubelle, C. Przybyla, G. Jefferson, Transverse failure of unidirectional
composites: sensitivity to interfacial properties, in Advancing Computational and Experimental
Methods for Integrated Computational Materials Engineering (ICME), co-ed. by S. Ghosh,
C. Przybyla, C. Woodward (Springer, New York, 2020)
4. M. Shakiba, D. Brandyberry, S. Zacek, P. Geubelle, Transverse failure of carbon fiber
composites: analytical sensitivity to the distribution of fiber/matrix interface properties. Int.
J. Numer. Methods Eng. 89, 650–665 (2019)
5. X. Zhang, D. Brandyberry, P. Geubelle, Igfem-based shape sensitivity analysis of the transverse
failure of a composite laminate. Comput. Mech. 64(5), 1455–1472 (2019)
6. K. Garrett, J. Bailey, Multiple transverse fracture in 90 ◦ cross-ply laminates of a glass fibrereinforced polyester. J. Mater. Sci. 12, 157–168 (1977)
7. A. Parvizi, J. Bailey, On multiple transverse cracking in glass fibre epoxy cross-ply laminates.
J. Mater. Sci. 13(10), 2131–2136 (1978)
8. S. Kirkpatrick, C. Gelatt Jr, M.P. Vecchi, Optimization by simulated annealing. Science
220(4598), 671–680 (1983)
9. S. Zacek, Exploring the link between microstructure statistics and transverse ply fracture in
carbon/epoxy composites. Master’s thesis, University of Illinois – Urbana-Champaign (2017)
10. M. Safdari, A.R. Najafi, N.R. Sottos, P.H. Geubelle, A nurbs-based interface-enriched generalized finite element method for problems with complex discontinuous gradient fields. Int. J.
Numer. Methods Eng. 101(12), 950–964 (2015)
11. J. Goodier, Concentration of stress around spherical and cylindrical inclusions and flaws.
TASME 55, 39 (1933)
A. Agrawal et al.
Acknowledgements This work has been supported through a grant No. FA9550-12-1-0445 to the
Center of Excellence on Integrated Materials Modeling (CEIMM) at Johns Hopkins University
(partners JHU, UIUC, UCSB), awarded by the AFOSR/RSL (Computational Mathematics Program, Manager Dr. A. Sayir) and AFRL/RX (Monitors Dr. C. Woodward and C. Przybyla).
References
1. P.K. Mallick, Fiber Reinforced Composites: Materials, Manufacturing, and Design, 3rd edn.
(CRC Press, Boca Raton, FL, 2007)
2. C. Montgomery, Multiscale characterization of carbon fiber-reinforced epoxy composites.
Ph.D. thesis, Department of Materials Science and Engineering, University of Illinois at
Urbana-Champaign (2018)
3. S. Zacek, D. Brandyberry, A. Klepacki, C. Montgomery, M. Shakiba, M. Rossol, A. Najafi,
X. Zhang, N. Sottos, P. Geubelle, C. Przybyla, G. Jefferson, Transverse failure of unidirectional
composites: sensitivity to interfacial properties, in Advancing Computational and Experimental
Methods for Integrated Computational Materials Engineering (ICME), co-ed. by S. Ghosh,
C. Przybyla, C. Woodward (Springer, New York, 2020)
4. M. Shakiba, D. Brandyberry, S. Zacek, P. Geubelle, Transverse failure of carbon fiber
composites: analytical sensitivity to the distribution of fiber/matrix interface properties. Int.
J. Numer. Methods Eng. 89, 650–665 (2019)
5. X. Zhang, D. Brandyberry, P. Geubelle, Igfem-based shape sensitivity analysis of the transverse
failure of a composite laminate. Comput. Mech. 64(5), 1455–1472 (2019)
6. K. Garrett, J. Bailey, Multiple transverse fracture in 90 ◦ cross-ply laminates of a glass fibrereinforced polyester. J. Mater. Sci. 12, 157–168 (1977)
7. A. Parvizi, J. Bailey, On multiple transverse cracking in glass fibre epoxy cross-ply laminates.
J. Mater. Sci. 13(10), 2131–2136 (1978)
8. S. Kirkpatrick, C. Gelatt Jr, M.P. Vecchi, Optimization by simulated annealing. Science
220(4598), 671–680 (1983)
9. S. Zacek, Exploring the link between microstructure statistics and transverse ply fracture in
carbon/epoxy composites. Master’s thesis, University of Illinois – Urbana-Champaign (2017)
10. M. Safdari, A.R. Najafi, N.R. Sottos, P.H. Geubelle, A nurbs-based interface-enriched generalized finite element method for problems with complex discontinuous gradient fields. Int. J.
Numer. Methods Eng. 101(12), 950–964 (2015)
11. J. Goodier, Concentration of stress around spherical and cylindrical inclusions and flaws.
TASME 55, 39 (1933)