Homogenization of magnetostrictive particle-filled elastomers using an interface-enriched reproducing kernel particle method

Finite Elements in Analysis and Design - Tập 39 - Trang 765-782 - 2003
Dongdong Wang1, Jiun-Shyan Chen1, Lizhi Sun2
1Department of Civil & Environmental Engineering, University of California, 5731G Boelter Hall, Los Angeles, CA 90095-1593, USA
2Department of Civil & Environmental Engineering, The University of Iowa, Iowa City, IA 52242-1527, USA

Tài liệu tham khảo

Bednarek, 1999, The giant magnetostriction in ferromagnetic composites within an elastomer matrix, Appl. Phys. A, 68, 63, 10.1007/s003390050854 Jolly, 1996, A model of the behavior of magnetorheological materials, Smart Mater. Struct., 5, 607, 10.1088/0964-1726/5/5/009 Mura, 1987 Nan, 1998, Effective magnetostriction of magnetostrictive composites, Appl. Phys. Lett., 72, 2897, 10.1063/1.121452 Chen, 1999, Effect of the elastic modulus of the matrix on magnetostrictive strain in composites, Appl. Phys. Lett., 74, 1159, 10.1063/1.123473 Bergström, 1999, Mechanical behavior of particle filled elastomers, Rubber Chem. Technol., 72, 633, 10.5254/1.3538823 Govindjee, 1991, A micro-mechanically based continuum damage model for carbon black-filled rubbers incorporating Mullins effect, J. Mech. Phys. Solids, 39, 87, 10.1016/0022-5096(91)90032-J M.P. Bendsoe, C.A. Soares Mota (Eds.), Topology Design of Structures, Kluwer Academic Publishers, Dordrecht, 1993. E. Sanchez-Palebncia, A. Zaoui (Eds.), Homogenization Techniques for Composite Media, Springer, Berlin 1987. Shen, 1994, Effective elastic response of two-phase composites, Acta Metall. Mater., 42, 77, 10.1016/0956-7151(94)90050-7 Suquet, 1987, Elements of homogenization for inelastic solid mechanics, 193 Swan, 1994, Techniques for stress- and strain-controlled homogenization of inelastic periodic composites, Comput. Meth. Appl. Mech. Eng., 117, 249, 10.1016/0045-7825(94)90117-1 Michel, 1999, Effective properties of composites with periodic microstructure, Comput. Meth. Appl. Mech. Eng., 172, 109, 10.1016/S0045-7825(98)00227-8 Pellegrino, 1999, Numerical homogenization of periodic composite materials with non-linear material response, Int. J. Numer. Methods Eng., 46, 1609, 10.1002/(SICI)1097-0207(19991210)46:10<1609::AID-NME716>3.0.CO;2-Q Moulinec, 1997, A numerical method for computing the mechanical properties with complex microstructure, Comput. Meth. Appl. Mech. Eng., 157, 69, 10.1016/S0045-7825(97)00218-1 Jansson, 1992, Homogenized nonlinear constitutive properties and local stress concentration for composites with periodic internal structure, Int. J. Solids Struct., 29, 2181, 10.1016/0020-7683(92)90065-2 Craig, 1992, Three-dimensional finite element analysis of plastic deformation in a whisker-reinforced metal matrix composite, J. Mech. Phys. Solids, 40, 991, 10.1016/0022-5096(92)90059-B Llorca, 1992, An experimental and numerical study of cyclic deformation in metal-matrix composites, Metall. Trans. A, 23A, 919, 10.1007/BF02675568 Mullins, 1965, Stress softening in rubber vulcanizates, Part I, J. Appl. Polym. Sci., 9, 2993, 10.1002/app.1965.070090906 Belytschko, 1994, Element-free Galerkin methods, Int. J. Numer. Methods Eng., 37, 229, 10.1002/nme.1620370205 Lu, 1994, A new implementation of the element free Galerkin method, Comput. Methods Appl. Mech. Eng., 139, 397, 10.1016/0045-7825(94)90056-6 Liu, 1995, Reproducing kernel particle methods, Int. J. Numer. Methods Fluids, 20, 1081, 10.1002/fld.1650200824 Liu, 1995, Reproducing kernel particle methods structural dynamics, Int. J. Numer. Methods Eng., 38, 1655, 10.1002/nme.1620381005 Chen, 1996, Reproducing kernel particle methods for large deformation analysis of nonlinear structures, Comput. Methods Appl. Mech. Eng., 139, 195, 10.1016/S0045-7825(96)01083-3 Chen, 2000, New boundary condition treatments for meshless computation of contact problems, Comput. Methods Appl. Mech. Eng., 187, 441, 10.1016/S0045-7825(00)80004-3 Babuska, 1997, The partition of unity method, Int. J. Numer. Methods Eng., 40, 727, 10.1002/(SICI)1097-0207(19970228)40:4<727::AID-NME86>3.0.CO;2-N Melenk, 1996, The partition of unity finite element method, Comput. Methods Appl. Mech. Eng., 139, 289, 10.1016/S0045-7825(96)01087-0 Duarte, 1996, A h-p adaptive method using clouds, Comput. Methods Appl. Mech. Eng., 139, 237, 10.1016/S0045-7825(96)01085-7 Duarte, 1996, Hp clouds—a meshless method to solve boundary-value problems, Numer. Methods Partial Differential Equations, 12, 673, 10.1002/(SICI)1098-2426(199611)12:6<673::AID-NUM3>3.0.CO;2-P Codes, 1996, Treatment of material discontinuity in the element-free Galerkin method, Comput. Methods Appl. Mech. Eng., 139, 75, 10.1016/S0045-7825(96)01080-8 Krongauz, 1998, EFG approximation with discontinuous derivatives, Int. J. Numer. Methods Eng., 41, 1215, 10.1002/(SICI)1097-0207(19980415)41:7<1215::AID-NME330>3.0.CO;2-# Huerta, 2000, Enrichment and coupling of the finite element and meshless methods, Int. J. Numer. Methods Eng., 48, 1615, 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S Chen, 2003, Reproducing kernel interpolation without finite element enrichment, Int. J. Numer. Methods Eng., 56, 935, 10.1002/nme.592