1 |
Zhu, T., Zhang, J.D. and Atluri, S.N. (1998), "A meshless local boundary integral equation (LBIE) method for solving nonlinear problems", Comput. Mech., 22, 174-186.
DOI
ScienceOn
|
2 |
Wang, D. and Lin, Z. (2011), "Dispersion and transient analyses of Hermite reproducing kernel Galerkin meshfree method with sub-domain stabilized conforming integration for thin beam and plate structures", Comput. Mech., 48, 47-63.
DOI
|
3 |
Wang, D. and Sun, Y. (2011), "A Galerkin meshfree formulation with stabilized conforming nodal integration for geometrically nonlinear analysis of shear deformable plates", Int. J. Comput. Meth., 8, 685-703.
DOI
ScienceOn
|
4 |
Wang, D. and Wu, Y. (2008), "An efficient Galerkin meshfree analysis of shear deformable cylindrical panels", Interact. Multiscale Mech., 1, 339-355.
DOI
ScienceOn
|
5 |
Wang, D. and Chen, J.S. (2004), "Locking-free stabilized conforming nodal integration for meshfree Mindlin-Reissner plate formulation", comput. Meth. Appl. Mech. Eng., 193, 1065-1083.
DOI
ScienceOn
|
6 |
Wang, D. and Chen, J.S. (2006), "A locking-free meshfree curved beam formulation with the stabilized conforming nodal integration", Comput. Mech., 39(1), 83-90.
DOI
ScienceOn
|
7 |
Wang, D., Li, Z., Li, L. and Wu, Y. (2011), "Three dimensional efficient meshfree simulation of large deformation failure evolution in soil medium", Sic. China-Tech. Sci., 54, 573-580.
DOI
ScienceOn
|
8 |
Wang, H.P., Wu, C.T., Botkin, M. and Guo, Y. (2009), "A coupled meshfree/finite element method for automotive crashworthiness simulations", Int. J. Impact Eng., 36(10-11), 1210-1222.
DOI
ScienceOn
|
9 |
Wu, Y. (2005) "A stabilized semi-Lagrangian Galerkin meshfree formulation for extremely large deformation analysis", Ph.D. Dissertation, UCLA.
|
10 |
Wu, Y., Magallanes, J.M., Choi, H.J. and Crawford, J.E. (2013), "An evolutionarily coupled finite element - meshfree formulation for modeling concrete behaviors under blast and impact loadings", ASCE J. Eng. Mech., 139(4), 525-536.
DOI
|
11 |
Zhou, M., Ravichandran, G. and Rosakis, A.J. (1996), "Dynamically propagating shear bands in impact-loaded prenotched plates - 2. Numerical Simulations", J. Mech. Physic Solid, 44(6), 1007-1032.
DOI
ScienceOn
|
12 |
Lin, J.I. (2005), DYNA3D: a nonlinear, explicit, three-dimensional finite element code for solid and structural mechanics, User Manual, UCRL-MA-107254, Methods Development Group, Lawrence Livermore National Laboratory.
|
13 |
Liu, W.K., Jun, S. and Zhang, Y.F. (1995), "Reproducing kernel particle methods", Int. J. Numer. Meth. Fluids, 20, 1081-1106.
DOI
ScienceOn
|
14 |
Liu, W.K., Jun, S., Sihling, D.T., Chen, Y. and Hao, W. (1997), "Multiresolution reproducing kernel particle method for computational fluid dynamics", Int. J. Numer. Meth. Fluids, 24(12), 1391-1415.
DOI
|
15 |
Lu, H. and Chen, J.S. (2002), "Adaptive meshfree particle method", Lecture Notes Comput. Sci. Eng., 26, 251-267.
|
16 |
Lu. Y.Y., Belytschko, T. and Gu, L. (1994), "A new implementation of the element free galerkin methods", Compu. Meth. Appl. Mech. Eng., 113, 397-414.
DOI
ScienceOn
|
17 |
Malvar, L.J., Crawford, J.E., Wesevich, J.W. and Simons, D. (1997), "A plasticity concrete material model for DYNA3D", Int. J. Impact Eng., 19, 847-873.
DOI
ScienceOn
|
18 |
Monaghan, J.J. (1988), "An introduction to SPH", Comput. Physic. Commun., 48, 89-96.
DOI
ScienceOn
|
19 |
Rabczuk, T. and Eibl, J. (2003), "Simulation of high velocity concrete fragmentation using SPH/MLSPH", Int. J. Numer. Meth. Eng., 56, 1421-1444.
DOI
ScienceOn
|
20 |
Puso, M.A., Chen, J.S., Zywicz, E. and Elmer, W. (2008), "Meshfree and finite element nodal integration method", Int. J. Numer. Meth. Eng., 74, 416-446.
DOI
ScienceOn
|
21 |
Wagner, G.J. and Liu, W.K. (2000), "Application of essential boundary conditions in mesh-free methods: a corrected collocation method", Int. J. Numer. Meth. Eng., 47, 1367-1379.
DOI
|
22 |
Wang, D. and Chen, J.S. (2008), "A Hermite reproducing kernel approximation for thin plate analysis with sub-domain stabilized conforming integration", Int. J. Numer. Meth. Eng., 74, 368-390
DOI
ScienceOn
|
23 |
Courant, R. (1942), "Variational methods for the solution of problems of equilibrium and vibrations", Transaction of American Mathematical Society, 1-23.
|
24 |
Crawford, J.E., Chen, J.S., Choi, H.J. and Wu, Y. (2005), "Description of meshfree methods developed for fragment impact, penetrations and other problems", TR-05-71.1, Karagozian & Case, Burbank, CA.
|
25 |
Crawford, J.E., Magallanes, J.M., Lan, S. and Wu, Y. (2011), User's manual and documentation for release III of the K&C concrete material model in LS-DYNA, TR-11-36-1, Technical report, Karagozian & Case, Burbank, CA.
|
26 |
Fernandez-Mendez, S. and Huerta, A. (2004), "Imposing essential boundary conditions in mesh-free methods", Compu.Meth. Appl. Mech. Eng., 193, 1257-1275.
DOI
ScienceOn
|
27 |
Flanagan, D.P. and Belytshcko, T. (1981), "A uniform strain hexahedron and quadrilateral with orthogonal hourglass control", Int. J. Numer. Meth. Eng., 17, 679-706.
DOI
ScienceOn
|
28 |
Gingold, R.A. and Monaghan, J.J. (1972), "Smooth particle hydrodynamics: theory and application to non-spherical stars", Monthly Notices of the Royal Astronomical Society, 181, 375-389.
|
29 |
Guan, P.C., Chi, S.W., Chen, J.S., Slawson, T.R. and Roth, M.J. (2011), "Semi-Lagrangian reproducing kernel particle method for fragment-impact problems", Int. J. Impact Eng., 38, 1033-1047.
DOI
ScienceOn
|
30 |
Guan, P.C., Chen, J.S., Wu, Y., Teng, H., Gaido,s J., Hofstetter, K. and Alsaleh, M. (2009), "Semi-Lagrangian reproducing kernel formulation and application to modeling earth moving operations", Mech. Mater., 41, 670-683.
DOI
ScienceOn
|
31 |
Guo, Y., Wu, C.T., Botkin, M.E. and Wang, H.P. (2004), "Coupled FEM/Meshfree shear-deformable shells for nonlinear analysis of shell structures", Proceedings of WCCM VI in conjunction with APCOM 04, September, Beijing, China.
|
32 |
Hu, W., Wu, C.T. and Saito, K. (2010), "LS-DYNA meshfree interactive adaptivity and its application", 11th international LS-DYNA Users Conference, Detroit, MI.
|
33 |
Chen, J.S. and Wu, Y. (2007), "Stability in Lagrangian and semi-Lagrangian reproducing kernel discretizations using nodal integration in nonlinear solid mechanics", Compu.Meth. Appl. Mech. Eng., (Eds. V. M. A. Leitao, C.J.S. Alves, C. A. Duarte), Springer, 55-77
|
34 |
Chen, J.S., Crawford, J.E. and Wu, Y. (2006), "Development of meshfree methods for fragment impact problems", TR 06 58.1, Karagozian & Case, Burbank, CA.
|
35 |
Chen, J.S., Han, W., You, Y. and Meng, X. (2003), "A reproducing kernel method with nodal interpolation property", Int. J. Numer. Meth. Eng., 56, 935-960.
DOI
ScienceOn
|
36 |
Chen, J.S., Pan, C. and Wu, C.T. (1998c), "Application of reproducing kernel particle method to large deformation contact analysis of elastomers", Rubber Chem. Tech., 71, 191-213.
DOI
ScienceOn
|
37 |
Chen, J.S., Pan, C. and Wu, C.T. (1998b), "Large deformation analysis of rubber based on a reproducing kernel particle method", Comput. Mech., 22, 289-307.
DOI
ScienceOn
|
38 |
Chen, J.S., Wu, C.T., Chi, L.C. and Huck, F. (2001b), "A Lagrangian meshfree formulation for geotechnical material", J. Eng. Mech., 127, 440-449.
DOI
ScienceOn
|
39 |
Chen, J.S., Pan, C., Roque, C.M.O.L. and Wang, H. (1998a), "A Lagrangian reproducing kernel particle method for metal forming analysis", Comput. Mech., 22, 289-307.
DOI
ScienceOn
|
40 |
Chen, J.S., Pan, C., Wu, C.T. and Liu, W.K. (1996), "Reproducing kernel particle methods for large deformation analysis of nonlinear structures", Compu.Meth. Appl. Mech. Eng., 139, 195-227
DOI
ScienceOn
|
41 |
Chen, J.S., Wu, C.T., Yoon, S. and You, Y. (2001a), "A stabilized conforming nodal integration for Galerkin meshfree methods", Int. J. Numer. Meth. Eng., 50, 435-466, 2001.
DOI
ScienceOn
|
42 |
Chen, J.S., Wu, C.T., Yoon, S. and You, Y. (2002), "Nonlinear version of stabilized conforming nodal integration for Galerkin meshfree methods", Int. J. Numer. Meth. Eng., 53, 2587-2615.
DOI
ScienceOn
|
43 |
Chen, W.F. (1982), "Plasticity in Reinforced Concrete", McGraw Hill, New York
|
44 |
Belytschko, T., Lu, Y.Y. and Gu, L. (1994), "Element-free Galerkin methods", Int. J. Numer. Meth. Eng., 37(2), 229-256.
DOI
ScienceOn
|
45 |
Bardenhagen, S.G. and Kober, E.M. (2004), "The meneralized interpolation material point method", Comput. Modeling Eng. Sci., 5(6), 477-496.
|
46 |
Batra, R.C. and Lear, M.H. (2004), "Simulation of brittle and ductile fracture in an impact loaded prenotched plate", Int. J. Fracture, 126(2), 179-203.
DOI
|
47 |
Belytschko, T. and Tabbara, M. (1996), "Dynamic fracture using element free Galerkin methods", Int. J. Numer. Meth. Eng., 39(6), 923-938.
DOI
|
48 |
Belytschko, T., Lu, Y.Y. and Gu, L. (1995), "Element-free Galerkin methods for static and dynamic fracture0", Int. J. Solids Struct., 32(17-18), 2547-2570.
DOI
ScienceOn
|
49 |
Chen, J.S. and Wang, D. (2006), "A constrained reproducing kernel particle formulation for shear deformable shell in Cartesian coordinates", Int. J. Numer. Meth. Eng., 68(2), 151-172.
DOI
ScienceOn
|