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Volumn 139, Issue 1-4, 1996, Pages 195-227

Reproducing Kernel Particle Methods for large deformation analysis of non-linear structures

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; INTEGRATION; MATRIX ALGEBRA; NUMERICAL ANALYSIS;

EID: 0030413958     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)01083-3     Document Type: Article
Times cited : (865)

References (40)
  • 1
    • 0024031986 scopus 로고
    • Arbitrary Lagrangian Eulerian Petrov-Galerkin finite elements for nonlinear continua
    • W.K. Liu, H. Chang, J.S. Chen and T. Belytschko, Arbitrary Lagrangian Eulerian Petrov-Galerkin finite elements for nonlinear continua, Comput. Methods Appl. Mech. Engrg. 68(3) (1988) 259-310.
    • (1988) Comput. Methods Appl. Mech. Engrg. , vol.68 , Issue.3 , pp. 259-310
    • Liu, W.K.1    Chang, H.2    Chen, J.S.3    Belytschko, T.4
  • 2
    • 0026388494 scopus 로고
    • Adaptive ALE finite elements with particular reference to external work rate on frictional interface
    • W.K. Liu, J.S. Chen, B. Belytschko and Y.F. Zhang, Adaptive ALE finite elements with particular reference to external work rate on frictional interface, Comput. Methods Appl. Mech. Engrg. 93 (1991) 189-216.
    • (1991) Comput. Methods Appl. Mech. Engrg. , vol.93 , pp. 189-216
    • Liu, W.K.1    Chen, J.S.2    Belytschko, B.3    Zhang, Y.F.4
  • 3
    • 0001765873 scopus 로고
    • Numerical approach to testing the fission hypothesis
    • L. Lucy, Numerical approach to testing the fission hypothesis, Astron, J. 82 (1977) 1013-1024.
    • (1977) Astron, J. , vol.82 , pp. 1013-1024
    • Lucy, L.1
  • 4
    • 85183430449 scopus 로고
    • Smoothed particle hydrodynamics: Theory and application to non-spherical stars
    • R.A. Gingold and J.J. Monaghan, Smoothed particle hydrodynamics: Theory and application to non-spherical stars, Monthly Notices Royal astron. Soc. 181 (1977) 375-389.
    • (1977) Monthly Notices Royal Astron. Soc. , vol.181 , pp. 375-389
    • Gingold, R.A.1    Monaghan, J.J.2
  • 5
    • 0001176609 scopus 로고
    • Why particle methods work
    • J.J. Monaghan, Why particle methods work, SIAM J. Sci. Stat. Comput. 3(4) (1982) 422-433.
    • (1982) SIAM J. Sci. Stat. Comput. , vol.3 , Issue.4 , pp. 422-433
    • Monaghan, J.J.1
  • 6
    • 0023165466 scopus 로고
    • An introduction to SPH
    • J.J. Monaghan, An introduction to SPH, Comput. Phys. Comm. 48 (1988) 89-96.
    • (1988) Comput. Phys. Comm. , vol.48 , pp. 89-96
    • Monaghan, J.J.1
  • 8
    • 0000801214 scopus 로고
    • The particle-in-cell computing method for fluid dynamics
    • B. Adler, S. Fernbach and M. Rotengerb, eds.
    • F.H. Harlow, The particle-in-cell computing method for fluid dynamics, in: B. Adler, S. Fernbach and M. Rotengerb, eds., Methods for Comput. Phys. 3 (1964) 319-343.
    • (1964) Methods for Comput. Phys. , vol.3 , pp. 319-343
    • Harlow, F.H.1
  • 9
    • 0001213426 scopus 로고
    • FLIP: A method for adaptivity zoned, particle-in-cell calculations of fluid flows in two dimensions
    • J.U. Brackbill, FLIP: A method for adaptivity zoned, particle-in-cell calculations of fluid flows in two dimensions, J. Comput. Phys. 65 (1986) 314-343.
    • (1986) J. Comput. Phys. , vol.65 , pp. 314-343
    • Brackbill, J.U.1
  • 11
    • 0027035536 scopus 로고
    • Generalizing the finite element method: Diffuse approximation and diffuse elements
    • B. Nayroles, G. Touzot and P. Villon, 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
  • 14
    • 0040430595 scopus 로고
    • Are finite elements passé?
    • T. Belytschko, Are finite elements passé?, USACM Bulletin 7(3) (1994).
    • (1994) USACM Bulletin , vol.7 , Issue.3
    • Belytschko, T.1
  • 19
    • 0040713219 scopus 로고
    • An introduction to wavelet reproducing Kernel particle methods
    • W.K. Liu, An introduction to wavelet Reproducing Kernel Particle Methods, USACM Bull. 8(1) (1995) 3-16.
    • (1995) USACM Bull. , vol.8 , Issue.1 , pp. 3-16
    • Liu, W.K.1
  • 20
    • 84984525570 scopus 로고
    • Wavelet and multiple scale reproducing Kernel methods
    • W.K. Liu and Y.J. Chen, Wavelet and multiple scale Reproducing Kernel Methods, Int. J. Numer. Methods Fluids 21 (1995) 901-932.
    • (1995) Int. J. Numer. Methods Fluids , vol.21 , pp. 901-932
    • Liu, W.K.1    Chen, Y.J.2
  • 21
    • 2842550036 scopus 로고
    • Moving least square reproducing Kernel method (I) methodology and convergence
    • submitted
    • W.K. Liu, S. Li and T. Belytschko, Moving least square Reproducing Kernel Method (I) methodology and convergence, Comput. Methods Appl. Mech. Engrg. (1995), submitted.
    • (1995) Comput. Methods Appl. Mech. Engrg.
    • Liu, W.K.1    Li, S.2    Belytschko, T.3
  • 22
    • 0030170555 scopus 로고    scopus 로고
    • Advances in multiple scale Kernel particle methods
    • W.K. Liu, Y. Chen, C.T. Chang and T. Belytschko, Advances in multiple scale Kernel Particle Methods, Comput. Mech. 18(2) (1996) 73-111.
    • (1996) Comput. Mech. , vol.18 , Issue.2 , pp. 73-111
    • Liu, W.K.1    Chen, Y.2    Chang, C.T.3    Belytschko, T.4
  • 24
    • 0041935616 scopus 로고    scopus 로고
    • Reproducing Kernel particle methods for rubber hyperelasticity
    • in press
    • J.S. Chen, C. Pan and C.T. Wu, Reproducing Kernel Particle Methods for rubber hyperelasticity, Comput. Mech., in press.
    • Comput. Mech.
    • Chen, J.S.1    Pan, C.2    Wu, C.T.3
  • 25
    • 84966237423 scopus 로고
    • Surfaces generated by moving least squares methods
    • P. Lancaster and K. Salkauskas, Surfaces generated by moving least squares methods, Math. Comput. 37 (1981) 141-158.
    • (1981) Math. Comput. , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkauskas, K.2
  • 27
    • 0042937321 scopus 로고
    • A pressure projection method for nearly incompressible rubber hyperelasticity, Part I: Theory, Part II: Applications
    • in press
    • J.S. Chen, C.T. Wu and C. Pan, A pressure projection method for nearly incompressible rubber hyperelasticity, Part I: Theory, Part II: Applications, ASME J. Appl. Mech. (1995), in press.
    • (1995) ASME J. Appl. Mech.
    • Chen, J.S.1    Wu, C.T.2    Pan, C.3
  • 28
    • 0014705420 scopus 로고
    • Compression, bending and shear of bonded rubber blocks
    • A.N. Gent and E.A. Meinecke, Compression, bending and shear of bonded rubber blocks, Polymer Engrg. Sci. 10 (1970) 48-53.
    • (1970) Polymer Engrg. Sci. , vol.10 , pp. 48-53
    • Gent, A.N.1    Meinecke, E.A.2
  • 29
    • 0042436669 scopus 로고
    • Nonlinear finite element analysis of rubber based products
    • American Chemical Society, Montreal, Quebec, Canada, May 26-29
    • N.T. Tseng, K. Satyamurthy and J.P. Chang, Nonlinear finite element analysis of rubber based products, The 131st Meeting of the Rubber Division, American Chemical Society, Montreal, Quebec, Canada, May 26-29, 1987.
    • (1987) The 131st Meeting of the Rubber Division
    • Tseng, N.T.1    Satyamurthy, K.2    Chang, J.P.3
  • 30
    • 0042436672 scopus 로고
    • On elasto-plastic benchmark philosophies
    • D.R.J. Owen, E. Hinton and E. Onate, eds., Pineridge Press, Swansea, UK
    • E. Hinton, T.K. Hellen and L.R.R. Lyons, On elasto-plastic benchmark philosophies, in: D.R.J. Owen, E. Hinton and E. Onate, eds., Computational Plasticity: Models, Software and Applications (Pineridge Press, Swansea, UK, 1989) 389-408.
    • (1989) Computational Plasticity: Models, Software and Applications , pp. 389-408
    • Hinton, E.1    Hellen, T.K.2    Lyons, L.R.R.3
  • 31
    • 0000581714 scopus 로고
    • The use of flat-ended projectiles for determining dynamic yield stress
    • G.I. Taylor, The use of flat-ended projectiles for determining dynamic yield stress, Part I, Proc. R. Soc. London, Ser. A 194 (1948) 289-299.
    • (1948) Proc. R. Soc. London, Ser. A , vol.194 , Issue.PART I , pp. 289-299
    • Taylor, G.I.1
  • 32
    • 0015604075 scopus 로고
    • Impact of cylinders on rigid boundary
    • M.L. Wilkins and M.W. Guinan, Impact of cylinders on rigid boundary, J. Appl. Phys. 44 (1973) 1200-1206.
    • (1973) J. Appl. Phys. , vol.44 , pp. 1200-1206
    • Wilkins, M.L.1    Guinan, M.W.2
  • 33
    • 0040110186 scopus 로고
    • Inclusion of evolutionary damage measures in Eulerian wavecodes
    • W.W. Predebon, C.E. Anderson and J.D. Walker, Inclusion of evolutionary damage measures in Eulerian wavecodes, Comput. Mech. 7 (1991) 221-236.
    • (1991) Comput. Mech. , vol.7 , pp. 221-236
    • Predebon, W.W.1    Anderson, C.E.2    Walker, J.D.3
  • 34
    • 58149324212 scopus 로고
    • Application of a particle-in-cell method to solid mechanics
    • submitted
    • D. Sulsky, S.-J. Zhou and H.L. Schreyer, Application of a particle-in-cell method to solid mechanics, Comput. Phys. Comm. (1995), submitted.
    • (1995) Comput. Phys. Comm.
    • Sulsky, D.1    Zhou, S.-J.2    Schreyer, H.L.3
  • 36
    • 0006811869 scopus 로고
    • Large strain analysis of rubber-like materials based on a perturbed Lagrangian variational principle
    • T.Y.P. Chang, A.F. Saleeb and G. Li, Large strain analysis of rubber-like materials based on a perturbed Lagrangian variational principle, Comput. Mech. 8 (1991) 221-233.
    • (1991) Comput. Mech. , vol.8 , pp. 221-233
    • Chang, T.Y.P.1    Saleeb, A.F.2    Li, G.3
  • 37
    • 0000708891 scopus 로고
    • Volume changes accompanying the extension of rubber
    • R.W. Penn, Volume changes accompanying the extension of rubber, Trans. Soc. Rheol. 14(4) (1970) 509-517.
    • (1970) Trans. Soc. Rheol. , vol.14 , Issue.4 , pp. 509-517
    • Penn, R.W.1
  • 38
    • 0019229765 scopus 로고
    • Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis
    • T.J.R. Hughes and J. Winget, Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis, Int. J. Numer. Methods Engrg. 15(12) (1980) 1862-1867.
    • (1980) Int. J. Numer. Methods Engrg. , vol.15 , Issue.12 , pp. 1862-1867
    • Hughes, T.J.R.1    Winget, J.2
  • 40
    • 0022010372 scopus 로고
    • Consistent tangent operators for rate-independent elastoplasticity
    • J.C. Simo and R.L. Taylor, Consistent tangent operators for rate-independent elastoplasticity, Comput. Methods Appl. Mech. Engrg. 48 (1985) 101-118.
    • (1985) Comput. Methods Appl. Mech. Engrg. , vol.48 , pp. 101-118
    • Simo, J.C.1    Taylor, R.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.