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Crack nucleation in a peridynamic solid
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S.A. Silling M. Zimmermann R. Abeyaratne 2003 Deformation of a peridynamic bar J. Elast. 73 173 190 1061.74031 10.1023/B:ELAS.0000029931.03844. 4f 2057742
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Analysis and numerical approximation of an integro-differential equation modeling non-local effects in linear elasticity
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E. Emmrich O. Weckner 2007 Analysis and numerical approximation of an integro-differential equation modeling non-local effects in linear elasticity Math. Mech. Solids 12 363 384 1175.74013 10.1177/1081286505059748 2349159
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E. Emmrich O. Weckner 2007 On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity Commun. Math. Sci. 5 851 864 1133.35098 2375050
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Convergence, adaptive refinement, and scaling in 1D peridynamics
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F. Bobaru M. Yang L.F. Alves S.A. Silling E. Askari J. Xu 2009 Convergence, adaptive refinement, and scaling in 1D peridynamics Int. J. Numer. Methods Eng. 77 852 877 1156.74399 10.1002/nme.2439
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Lehoucq, R.B., Silling, S.A.: Statistical coarse-graining of molecular dynamics into peridynamics. Sandia National Laboratories report, SAND2007-6410 (2007)
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Sandia National Laboratories Report
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