[1] Cox, B. N., Gao, H., Gross, D., and Rittel, D. Modern topics and challenges in dynamic fracture. Journal of the Mechanics and Physics of Solids, 53, 565-596(2005)
[2] Barenblatt, G. I. The formation of equilibrium cracks during brittle fracture. General ideas and hypotheses:axially-symmetric cracks. Journal of Applied Mathematics and Mechanics, 23, 622-636(1959)
[3] Klein, P., Foulk, J., Chen, E., Wimmer, S., and Gao, H. Physics-based modeling of brittle fracture:cohesive formulations and the application of meshfree methods. Theoretical and Applied Fracture Mechanics, 37, 99-166(2001)
[4] Moës, N., Dolbow, J., and Belytschko, T. A finite element method for crack growth without remeshing. International Journal for Numerical Methods in Engineering, 46, 131-150(1999)
[5] Belytschko, T. and Black, T. Elastic crack growth in finite elements with minimal remeshing. International Journal for Numerical Methods in Engineering, 45, 601-620(1999)
[6] Song, J. H., Wang, H., and Belytschko, T. A comparative study on finite element methods for dynamic fracture. Computational Mechanics, 42, 239-250(2008)
[7] Silling, S. A. Reformulation of elasticity theory for discontinuities and long-range forces. Journal of the Mechanics and Physics of Solids, 48, 175-209(2000)
[8] Silling, S. A. and Askari, E. A meshfree method based on the peridynamic model of solid mechanics. Computers & Structures, 83, 1526-1535(2005)
[9] Seleson, P., Parks, M. L., Gunzburger, M., and Lehoucq, R. B. Peridynamics as an upscaling of molecular dynamics. Multiscale Modeling & Simulation, 8, 204-227(2009)
[10] Parks, M. L., Lehoucq, R. B., Plimpton, S. J., and Silling, S. A. Implementing peridynamics within a molecular dynamics code. Computer Physics Communications, 179, 777-783(2008)
[11] Ha, Y. D. and Bobaru, F. Studies of dynamic crack propagation and crack branching with peridynamics. International Journal of Fracture, 162, 229-244(2010)
[12] Ha, Y. D. and Bobaru, F. Characteristics of dynamic brittle fracture captured with peridynamics. Engineering Fracture Mechanics, 78, 1156-1168(2011)
[13] Hu, W., Wang, Y., Yu, J., Yen, C. F., and Bobaru, F. Impact damage on a thin glass plate with a thin polycarbonate backing. International Journal of Impact Engineering, 62, 152-165(2013)
[14] Gerstle, W., Sau, N., and Silling, S. Peridynamic modeling of concrete structures. Nuclear Engineering and Design, 237, 1250-1258(2007)
[15] Gerstle, W., Sau, N., and Silling, S. Peridynamic modeling of plain and reinforced concrete structures. Proceedings of the 18th International Conference on Structural Mechanics in Reactor Technology, Paper SMiRT18-B01-2, Beijing (2005)
[16] Kilic, B., Agwai, A., and Madenci, E. Peridynamic theory for progressive damage prediction in center-cracked composite laminates. Composite Structures, 90, 141-151(2009)
[17] Oterkus, E. and Madenci, E. Peridynamic analysis of fiber-reinforced composite materials. Journal of Mechanics of Materials and Structures, 7, 45-84(2012)
[18] Askari, E., Xu, J., and Silling, S. Peridynamic analysis of damage and failure in composites. 44th AIAA Aerospace Sciences Meeting and Exhibit, AIAA paper 2006-88, Reno (2006)
[19] Hu, W., Ha, Y. D., and Bobaru, F. Peridynamic model for dynamic fracture in unidirectional fiberreinforced composites. Computer Methods in Applied Mechanics and Engineering, 217, 247-261(2012)
[20] Tupek, M., Rimoli, J., and Radovitzky, R. An approach for incorporating classical continuum damage models in state-based peridynamics. Computer Methods in Applied Mechanics and Engineering, 263, 20-26(2013)
[21] Wu, C. and Ren, B. A stabilized non-ordinary state-based peridynamics for the nonlocal ductile material failure analysis in metal machining process. Computer Methods in Applied Mechanics and Engineering, 291, 197-215(2015)
[22] Foster, J. T., Silling, S. A., and Chen, W. W. Viscoplasticity using peridynamics. International Journal For Numerical Methods In Engineering, 81, 1242-1258(2010)
[23] Kilic, B. and Madenci, E. Structural stability and failure analysis using peridynamic theory. International Journal of Non-Linear Mechanics, 44, 845-854(2009)
[24] Chen, B., Liu, N., and Yang, G. The application of peridynamics in predicting beam vibration and impact damage. Journal of Vibroengineering, 17, 2369-2378(2015)
[25] Oterkus, S., Madenci, E., and Agwai, A. Fully coupled peridynamic thermomechanics. Journal of the Mechanics & Physics of Solids, 64, 1-23(2014)
[26] Bobaru, F. and Duangpanya, M. The peridynamic formulation for transient heat conduction. International Journal of Heat and Mass Transfer, 53, 4047-4059(2010)
[27] Bobaru, F. and Duangpanya, M. A peridynamic formulation for transient heat conduction in bodies with evolving discontinuities. Journal of Computational Physics, 231, 2764-2785(2012)
[28] John, R. and Shah, S. P. Mixed-mode fracture of concrete subjected to impact loading. Journal of Structural Engineering, 116, 585-602(1990)
[29] Yao, X., Xiong, C., and Fang, J. Study of dynamic fracture behaviour on three-point-bend beam with off-center edge-crack. Acta Mechnaica Sinica, 28, 661-669(1996)
[30] Agwai, A., Guven, I., and Madenci, E. Predicting crack propagation with peridynamics:a comparative study. International Journal of Fracture, 171, 65-78(2011)
[31] Oterkus, E., Guven, I., and Madenci, E. Impact damage assessment by using peridynamic theory. Open Engineering, 2, 523-531(2012)
[32] Belytschko, T., Organ, D., and Gerlach, C. Element-free galerkin methods for dynamic fracture in concrete. Computer Methods in Applied Mechanics and Engineering, 187, 385-399(2000)
[33] Silling, S. A., Epton, M., Weckner, O., Xu, J., and Askari, E. Peridynamic states and constitutive modeling. Journal of Elasticity, 88, 151-184(2007)
[34] Madenci, E. and Oterkus, E. Peridynamic Theory and Its Applications, Springer, New York (2014)
[35] Delale, F. and Erdogan, F. The crack problem for a nonhomogeneous plane. Journal of Applied Mechanics, 50, 609-614(1983)
[36] Zerbst, U., Klinger, C., and Clegg, R. Fracture mechanics as a tool in failure analysis-prospects and limitations. Engineering Failure Analysis, 55, 376-410(2015) |