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Volumn 31, Issue 9, 2007, Pages 771-782

A pseudo-elastic local meshless method for analysis of material nonlinear problems in solids

Author keywords

Elasto plastic analysis; Local weak form; Material nonlinearity; Meshless method; Numerical simulation; RBF

Indexed keywords

COMPUTER SIMULATION; FUNCTION EVALUATION; INTERPOLATION; MATHEMATICAL MODELS; POISSON RATIO;

EID: 34547568751     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2006.12.008     Document Type: Article
Times cited : (15)

References (32)
  • 5
    • 85183430449 scopus 로고
    • Smooth particle hydrodynamics: theory and applications to non spherical stars
    • Gingold R.A., and Moraghan J.J. Smooth particle hydrodynamics: theory and applications to non spherical stars. Mon Not R Astron Soc 181 (1977) 375-389
    • (1977) Mon Not R Astron Soc , vol.181 , pp. 375-389
    • Gingold, R.A.1    Moraghan, J.J.2
  • 6
    • 0034294250 scopus 로고    scopus 로고
    • Meshless methods based on collocation with radial basis functions
    • Zhang X., Song K.Z., Lu M.W., and Liu X. Meshless methods based on collocation with radial basis functions. Comput Mech 26 4 (2000) 333-343
    • (2000) Comput Mech , vol.26 , Issue.4 , pp. 333-343
    • Zhang, X.1    Song, K.Z.2    Lu, M.W.3    Liu, X.4
  • 7
    • 28344440937 scopus 로고    scopus 로고
    • Numerical simulation and analysis of an electroactuated beam using a radial basis function
    • Liu Y., Liew K.M., Hon Y.C., et al. Numerical simulation and analysis of an electroactuated beam using a radial basis function. Smart Mater Struct 14 6 (2005) 1163-1171
    • (2005) Smart Mater Struct , vol.14 , Issue.6 , pp. 1163-1171
    • Liu, Y.1    Liew, K.M.2    Hon, Y.C.3
  • 8
    • 0027035536 scopus 로고
    • Generalizing the finite element method: diffuse approximation and diffuse elements
    • Nayroles B., Touzot G., and Villon P. Generalizing the finite element method: diffuse approximation and diffuse elements. Comput Mech 10 (1992) 307-318
    • (1992) Comput Mech , vol.10 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 10
    • 0029102512 scopus 로고
    • Reproducing kernel particle methods
    • Liu W.K., Jun S., and Zhang Y. Reproducing kernel particle methods. Int J Numer Meth Eng 20 (1995) 1081-1106
    • (1995) Int J Numer Meth Eng , vol.20 , pp. 1081-1106
    • Liu, W.K.1    Jun, S.2    Zhang, Y.3
  • 11
    • 0035112642 scopus 로고    scopus 로고
    • A point interpolation method for two-dimensional solids
    • Liu G.R., and Gu Y.T. A point interpolation method for two-dimensional solids. Int J Numer Meth Eng 50 (2001) 937-951
    • (2001) Int J Numer Meth Eng , vol.50 , pp. 937-951
    • Liu, G.R.1    Gu, Y.T.2
  • 12
    • 0037407334 scopus 로고    scopus 로고
    • A boundary radial point interpolation method (BRPIM) for 2-D structural analyses
    • Gu Y.T., and Liu G.R. A boundary radial point interpolation method (BRPIM) for 2-D structural analyses. Struct Eng Mech 15 5 (2003) 535-550
    • (2003) Struct Eng Mech , vol.15 , Issue.5 , pp. 535-550
    • Gu, Y.T.1    Liu, G.R.2
  • 13
    • 0141509104 scopus 로고    scopus 로고
    • Hybrid boundary point interpolation methods and their coupling with the element free Galerkin method
    • Gu Y.T., and Liu G.R. Hybrid boundary point interpolation methods and their coupling with the element free Galerkin method. Eng Anal Bound Elem 27 9 (2003) 905-917
    • (2003) Eng Anal Bound Elem , vol.27 , Issue.9 , pp. 905-917
    • Gu, Y.T.1    Liu, G.R.2
  • 14
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
    • Atluri S.N., and Zhu T. A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Comput Mech 22 (1998) 117-127
    • (1998) Comput Mech , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 15
    • 0033334001 scopus 로고    scopus 로고
    • A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods
    • Atluri S.N., Kim H.G., and Cho J.Y. A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods. Comput Mech 24 (1999) 348-372
    • (1999) Comput Mech , vol.24 , pp. 348-372
    • Atluri, S.N.1    Kim, H.G.2    Cho, J.Y.3
  • 16
    • 0035271335 scopus 로고    scopus 로고
    • A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids
    • Gu Y.T., and Liu G.R. A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids. Comput Mech 27 3 (2001) 188-198
    • (2001) Comput Mech , vol.27 , Issue.3 , pp. 188-198
    • Gu, Y.T.1    Liu, G.R.2
  • 17
    • 0035800453 scopus 로고    scopus 로고
    • A local point interpolation method for static and dynamic analysis of thin beams
    • Gu Y.T., and Liu G.R. A local point interpolation method for static and dynamic analysis of thin beams. Comput Meth Appl Mech Eng 190 (2001) 5515-5528
    • (2001) Comput Meth Appl Mech Eng , vol.190 , pp. 5515-5528
    • Gu, Y.T.1    Liu, G.R.2
  • 18
    • 0035817769 scopus 로고    scopus 로고
    • A local radial point interpolation method (LR-PIM) for free vibration analyses of 2-D solids
    • Liu G.R., and Gu Y.T. A local radial point interpolation method (LR-PIM) for free vibration analyses of 2-D solids. J Sound Vib 246 1 (2001) 29-46
    • (2001) J Sound Vib , vol.246 , Issue.1 , pp. 29-46
    • Liu, G.R.1    Gu, Y.T.2
  • 19
    • 0036671819 scopus 로고    scopus 로고
    • Comparisons of two mesh free local point interpolation methods for structural analyses
    • Liu G.R., and Gu Y.T. Comparisons of two mesh free local point interpolation methods for structural analyses. Comput Mech 29 2 (2002) 107-121
    • (2002) Comput Mech , vol.29 , Issue.2 , pp. 107-121
    • Liu, G.R.1    Gu, Y.T.2
  • 20
    • 0141687029 scopus 로고    scopus 로고
    • Meshless analysis of the obstacle problem for beams by the MLPG method and subdomain variational formulations
    • Xiao J.R., and McCarthy M.A. Meshless analysis of the obstacle problem for beams by the MLPG method and subdomain variational formulations. Eur J Mech A-Solids 22 3 (2003) 385-399
    • (2003) Eur J Mech A-Solids , vol.22 , Issue.3 , pp. 385-399
    • Xiao, J.R.1    McCarthy, M.A.2
  • 21
    • 13844297023 scopus 로고    scopus 로고
    • Meshless solutions of 2D contact problems by subdomain variational inequality and MLPG method with radial basis functions
    • Xiao J.R., Gama B.A., Gillespie J.W., and Kansa E.J. Meshless solutions of 2D contact problems by subdomain variational inequality and MLPG method with radial basis functions. Eng Anal Bound Elem 29 2 (2005) 95-106
    • (2005) Eng Anal Bound Elem , vol.29 , Issue.2 , pp. 95-106
    • Xiao, J.R.1    Gama, B.A.2    Gillespie, J.W.3    Kansa, E.J.4
  • 22
    • 3142751143 scopus 로고    scopus 로고
    • Analysis of microelectromechanical systems (MEMS) by meshless Local Kriging (LoKriging) method
    • Wang Q.X., Lam K.Y., Li H., and Gu Y.T. Analysis of microelectromechanical systems (MEMS) by meshless Local Kriging (LoKriging) method. J Chin Inst Eng 27 4 (2003) 573-583
    • (2003) J Chin Inst Eng , vol.27 , Issue.4 , pp. 573-583
    • Wang, Q.X.1    Lam, K.Y.2    Li, H.3    Gu, Y.T.4
  • 23
    • 33646895162 scopus 로고    scopus 로고
    • A meshless Hermite-type radial point interpolation method for Kirchhoff plate problems
    • Liu Y., Hon Y.C., and Liew K.M. A meshless Hermite-type radial point interpolation method for Kirchhoff plate problems. Int J Numer Meth Eng 66 (2006) 1153-1178
    • (2006) Int J Numer Meth Eng , vol.66 , pp. 1153-1178
    • Liu, Y.1    Hon, Y.C.2    Liew, K.M.3
  • 24
    • 0036649499 scopus 로고    scopus 로고
    • Numerical algorithm for triphasic model of charged and hydrated soft tissues
    • Hon Y.C., Lu M.W., Xue M.W., and Zhou X. Numerical algorithm for triphasic model of charged and hydrated soft tissues. Comput Mech 29 1 (2002) 1-15
    • (2002) Comput Mech , vol.29 , Issue.1 , pp. 1-15
    • Hon, Y.C.1    Lu, M.W.2    Xue, M.W.3    Zhou, X.4
  • 25
    • 0001621244 scopus 로고
    • Elastic plastic analysis of two-dimensional stress systems by the F.E.M.
    • Marcal P.V., and King I.P. Elastic plastic analysis of two-dimensional stress systems by the F.E.M. Int J Mech Sci 9 (1967) 143-155
    • (1967) Int J Mech Sci , vol.9 , pp. 143-155
    • Marcal, P.V.1    King, I.P.2
  • 27
    • 0026158022 scopus 로고
    • The generalized local stress-strain ~GLOSS analysis-theory and applications
    • Seshadri R. The generalized local stress-strain ~GLOSS analysis-theory and applications. ASME J Press Vess Technol 113 (1991) 219-227
    • (1991) ASME J Press Vess Technol , vol.113 , pp. 219-227
    • Seshadri, R.1
  • 28
    • 0032003924 scopus 로고    scopus 로고
    • Inelastic analysis of components using a modulus adjustment scheme
    • Babu S., and Iyer P.K. Inelastic analysis of components using a modulus adjustment scheme. ASME J Press Vess Technol 120 (1998) 1-5
    • (1998) ASME J Press Vess Technol , vol.120 , pp. 1-5
    • Babu, S.1    Iyer, P.K.2
  • 29
    • 2442443981 scopus 로고    scopus 로고
    • Analysis of material nonlinear problems using pseudo-elastic finite element method
    • Desikn V., and Sethuraman R. Analysis of material nonlinear problems using pseudo-elastic finite element method. J Press Vess Technol 122 (2000) 457-461
    • (2000) J Press Vess Technol , vol.122 , pp. 457-461
    • Desikn, V.1    Sethuraman, R.2
  • 31
    • 0037202023 scopus 로고    scopus 로고
    • Elasto-plasticity revisited: numerical analysis via reproducing kernel particle method and parametric quadratic programming
    • Liew K.M., Wu Y.C., Zou G.P., and Ng T.Y. Elasto-plasticity revisited: numerical analysis via reproducing kernel particle method and parametric quadratic programming. Int J Numer Meth Eng 55 (2002) 669-683
    • (2002) Int J Numer Meth Eng , vol.55 , pp. 669-683
    • Liew, K.M.1    Wu, Y.C.2    Zou, G.P.3    Ng, T.Y.4
  • 32
    • 0038672632 scopus 로고    scopus 로고
    • Elasto-plastic analysis based on collocation with moving least square method
    • Song K.Z., Zhang X., and Lu M.W. Elasto-plastic analysis based on collocation with moving least square method. Acta Mech Solida Sinica 16 2 (2003) 162-170
    • (2003) Acta Mech Solida Sinica , vol.16 , Issue.2 , pp. 162-170
    • Song, K.Z.1    Zhang, X.2    Lu, M.W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.