References
- Ahn, T.S., Ha, Y.D (2017) Study on Peridynamic Interlayer Modeling for Multilayered Structures, J. Comput. Struct. Eng. Inst. Korea, 30(5), pp.389-396. https://doi.org/10.7734/COSEIK.2017.30.5.389
- Anderson, T.L. (1994) Fracture Mechanics: Fundamentals and Applications, CRC Press, New York, p.667.
- Belytschko, T., Black, T. (1999) Elastic Crack Growth in Finite Elements with Minimal Remeshing, Int. J. Numer. Methods Eng. 45(5), pp.601-620. https://doi.org/10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO;2-S
- Barenblatt, G.I. (1962) The Mathematical Theory of Equilibrium Cracks in Brittle Fracture, Adv. Appl. Mech., 7, pp.55-129.
- Bogert, P.B., Satyanarayana, A., Chunchu, P.B. (2006) Comparison of Damage Path Predictions for Composite Laminates by Explicit and Standard Finite Element Analysis Tools, 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Newport, RI, United States
- Diyaroglu, C., Oterkus, E., Madenci, E., Rabczuk, T., Siddiq, A. (2016) Peridynamic Modeling of Composite Laminates under Explosive Loading, Compos. Struct., 144, pp.14-23. https://doi.org/10.1016/j.compstruct.2016.02.018
- Dolbow, J., Belytschko, T. (1999) A Finite Element Method for Crack Growth without Remeshing, Int. J. Numer. Methods Eng., 46(1), pp.131-150. https://doi.org/10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J
- Dugdale, D.S. (1960) Yielding of Steel Sheets Containing Slits, J. Mech. & Phys. Solids, 8(2), pp.100-104. https://doi.org/10.1016/0022-5096(60)90013-2
- Griffith, A.A. (1921) The Phenomena of Rupture and Flow in Solids, Philos. Trans. Royal Soc. London. Series A, Contain. Papers Math. or Phys. Character, 221, pp.163-198. https://doi.org/10.1098/rsta.1921.0006
- Ha, Y.D. (2015) Dynamic Fracture Analysis with State-based Peridynamic Model: Crack Patterns on Stress Waves for Plane Stress Elastic Solid, J. Comput. Struct. Eng. Inst. Korea, 28(3), pp.309-316. https://doi.org/10.7734/COSEIK.2015.28.3.309
- Ha, Y.D., Lee, J., Hong, J.W. (2015). Fracturing Patterns of Rock-like Materials in Compression Captured with Peridynamics, Eng. Fract. Mech., 144, pp.176-193. https://doi.org/10.1016/j.engfracmech.2015.06.064
- Hillerborg, A., Modeer, M., Petersson, P.E. (1976) Analysis of Crack Formation and Crack Growth in Concrete by Means of Fracture Mechanics and Finite Elements, Cement & Concr. Res., 6(6), pp.773-781. https://doi.org/10.1016/0008-8846(76)90007-7
- Hu, W., Ha, Y.D., Bobaru, F. (2011) Modeling Dynamic Fracture and Damage in a Fiber-reinforced Composite Lamina with Peridynamics, Int. J. Multiscale Comput. Eng., 9(6).
- Kanninen, M.F., Popelar, C.L. (1985) Advanced Fracture Mechanics, Oxford University Press, Oxford, p.563.
- Kilic, B., Madenci, E. (2010) An Adaptive Dynamic Relaxation Method for Quasi-static Simulations using the Peridynamic Theory, Theor. & Appl. Fracture Mech., 53(3), pp.194-204. https://doi.org/10.1016/j.tafmec.2010.08.001
- Kim, J.H., Park, S., Cho, S. (2015) Structural Design Optimization of Dynamic Crack Propagation Problems Using Peridynamics, J. Comput. Struct. Eng. Inst. Korea, 28(4), pp.425-431. https://doi.org/10.7734/COSEIK.2015.28.4.425
- Lee, J., Hong, J.W. (2016) Dynamic Crack Branching and Curving in Brittle Polymers, Int. J. Solids & Struct., 100, pp.332-340.
- Lee, J., Oh, S.E., Hong, J.W. (2017) Parallel Programming of A Peridynamics Code Coupled with Finite Element Method, Int. J. Fract., 203(1-2), pp.99-114. https://doi.org/10.1007/s10704-016-0121-y
- Lindsay, P.E. (2017) Coupling Peridynamics with Finite-Elements for Fast, Stable and Accurate Simulations of Crack Propagation (Doctoral dissertation, Purdue University).
- Madenci, E., Oterkus, E. (2014) Peridynamic Theory and Its Applications (Vol. 17), Springer, New York, p.289.
- Moes, N., Dolbow, J., Belytschko, T. (1999) A Finite Element Method for Crack Growth without Remeshing, Int. J. Numer. Methods Eng., 46(1), pp.131-150. https://doi.org/10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J
- Oterkus, E., Madenci, E. (2012) Peridynamic Analysis of Fiber-reinforced Composite Materials, J. Mech. Mater. & Struct., 7(1), pp.45-84. https://doi.org/10.2140/jomms.2012.7.45
- Silling, S.A. (2000) Reformulation of elasticity theory for discontinuities and long-range forces, Journal of the Mechanics and Physics of Solids, 48(1), pp.175-209. https://doi.org/10.1016/S0022-5096(99)00029-0
- Silling, S.A., Askari, E. (2005) A Meshfree Method based on the Peridynamic Model of Solid Mechanics, Comput. & Struct., 83(17), pp.1526-1535. https://doi.org/10.1016/j.compstruc.2004.11.026
- Silling, S.A., Epton, M., Weckner, O., Xu, J., Askari, E. (2007) Peridynamic States and Constitutive Modeling, J. Elast., 88(2), pp.151-184. https://doi.org/10.1007/s10659-007-9125-1
- Xu, X.P., Needleman, A. (1994) Numerical Simulations of Fast Crack Growth in Brittle Solids, J. Mech. & Phys. Solids, 42(9), pp.1397-1434. https://doi.org/10.1016/0022-5096(94)90003-5
- Xu, J., Askari, A., Weckner, O., Razi, H., Silling, S.A. (2007) Damage and Failure Analysis of Composite Laminates under Biaxial Loads, In 48th AIAA Structures, Structural Dynamics, and Materials Conf., Honolulu, Hawai.
- Zi, G., Rabczuk, T., Wall, W. (2007) Extended Meshfree Methods without Branch Enrichment for Cohesive Cracks, Comput. Mech., 40(2), pp.367-382. https://doi.org/10.1007/s00466-006-0115-0