A meshfree method based on the peridynamic model of solid mechanics
Tài liệu tham khảo
Randles, 1996, Smoothed particle hydrodynamics: some recent improvements and applications, Comput Methods Appl Mech Eng, 139, 375, 10.1016/S0045-7825(96)01090-0
Krysl, 1999, The element free Galerkin method for dynamic propagation of arbitrary 3-D cracks, Int J Numer Methods Eng, 44, 767, 10.1002/(SICI)1097-0207(19990228)44:6<767::AID-NME524>3.0.CO;2-G
Carpinteri, 2001, An augmented Lagrangian element-free (ALEF) approach for crack discontinuities, Comput Methods Appl Mech Eng, 191, 941, 10.1016/S0045-7825(01)00288-2
Li, 2001, Dynamic shear band propagation and micro-structure of adiabatic shear band, Comput Methods Appl Mech Eng, 191, 73, 10.1016/S0045-7825(01)00245-6
Chen, 2002, Dynamic meshless method applied to nonlocal crack problems, Theoret Appl Fract Mech, 38, 293, 10.1016/S0167-8442(02)00099-X
Rao, 2003, Mesh-free analysis of cracks in isotropic functionally graded materials, Eng Fract Mech, 70, 1, 10.1016/S0013-7944(02)00038-3
Oliver, 2004, Continuum approach to material failure in strong discontinuity settings, Comput Methods Appl Mech Eng, 193, 3195, 10.1016/j.cma.2003.07.013
Silling, 2000, Reformulation of elasticity theory for discontinuities and long-range forces, J Mech Phys Solids, 48, 175, 10.1016/S0022-5096(99)00029-0
Silling, 2003, Deformation of a peridynamic bar, J Elast, 73, 173, 10.1023/B:ELAS.0000029931.03844.4f
Silling, 2003, Dynamic fracture modeling with a meshfree peridynamic code, 641
Silling, 2004, Peridynamic modeling of impact damage, 197
Silling, 2005, Peridynamic modeling of membranes and fibers, Int J Non-Linear Mech, 40, 395, 10.1016/j.ijnonlinmec.2004.08.004
Weckner, 2005, The effect of long-range forces on the dynamics of a bar, J Mech Phys Solids, 53, 705, 10.1016/j.jmps.2004.08.006
Kunin, 1982
Rogula, 1982
Eringen, 1977, Crack-tip problem in non-local elasticity, J Mech Phys Solids, 25, 339, 10.1016/0022-5096(77)90002-3
Ozbolt, 1996, Numerical smeared fracture analysis: nonlocal microcrack interaction approach, Int J Numer Methods Eng, 39, 635, 10.1002/(SICI)1097-0207(19960229)39:4<635::AID-NME874>3.0.CO;2-8
The version of this equation that appears in [11] contains an error
Lapidus, 2003
Okabe, 2000
Yoffe, 1951, The moving Griffith crack, Philos Mag, 42, 739, 10.1080/14786445108561302
Ball, 1996, On the bifurcation of cone cracks in glass plates, Philos Mag A, 73, 1093, 10.1080/01418619608243706
Gerstle W, Sau N, Peridynamic modeling of concrete structures. In: Li L, editor. Proceedings of the Fifth International Conference on Fracture Mechanics of Concrete Structures, Ia-FRAMCOS, vol. 2; 2004. p. 949–56
Emmrich E, Weckner O, Analysis and numerical approximation of an integro-differential equation modelling non-local effects in linear elasticity [to appear]