메뉴 건너뛰기




Volumn 76, Issue 8, 2008, Pages 1202-1230

Moving least-squares approximation with discontinuous derivative basis functions for shell structures with slope discontinuities

Author keywords

Discontinuous derivative basis function; Meshfree; Moving least squares approximation; Shell; Slope discontinuity

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; CONVERGENCE OF NUMERICAL METHODS; SHELLS (STRUCTURES);

EID: 60949083245     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2362     Document Type: Article
Times cited : (12)

References (36)
  • 1
    • 0023165466 scopus 로고    scopus 로고
    • Monaghan JJ. An Introduction of SPH. Computer Physics Communications 1982; 48:89-96. DOI: 10.1016/ 0010-4655(88)90026-4.
    • Monaghan JJ. An Introduction of SPH. Computer Physics Communications 1982; 48:89-96. DOI: 10.1016/ 0010-4655(88)90026-4.
  • 2
    • 0027035536 scopus 로고
    • Generalizing the finite element method: Diffuse approximation and diffuse elements
    • DOI: 10.1007/BF00364252
    • Nayroles B, Touzot G, Villon P. Generalizing the finite element method: diffuse approximation and diffuse elements. Computational Mechanics 1992; 10(5):307-318. DOI: 10.1007/BF00364252.
    • (1992) Computational Mechanics , vol.10 , Issue.5 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 5
    • 0030412998 scopus 로고    scopus 로고
    • Duarte CA, Oden JT. An h-p adaptive methods using clouds. Computer Methods in Applied Mechanics and Engineering 1996; 139:237-262. DOI: 10.1016/S0045-7825(96)01085-7.
    • Duarte CA, Oden JT. An h-p adaptive methods using clouds. Computer Methods in Applied Mechanics and Engineering 1996; 139:237-262. DOI: 10.1016/S0045-7825(96)01085-7.
  • 6
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
    • DOI: 10.1007/s004660050346
    • Atluri SN, Zhu T. A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Computational Mechanics 1998; 22(2):117-127 DOI: 10.1007/s004660050346.
    • (1998) Computational Mechanics , vol.22 , Issue.2 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 7
    • 0030383252 scopus 로고    scopus 로고
    • Treatment of material discontinuity in the element-free Galerkin Method
    • DOI: 10.1016/ S0045-7825(96)01080-8
    • Cordes LW, Moran B. Treatment of material discontinuity in the element-free Galerkin Method. Computer Methods in Applied Mechanics and Engineering 1996; 139:75-89. DOI: 10.1016/ S0045-7825(96)01080-8.
    • (1996) Computer Methods in Applied Mechanics and Engineering , vol.139 , pp. 75-89
    • Cordes, L.W.1    Moran, B.2
  • 8
    • 1842853880 scopus 로고    scopus 로고
    • Meshfree analyses of cable reinforced membrane structures by ALE-EFG method
    • Noguchi H, Kawashima T. Meshfree analyses of cable reinforced membrane structures by ALE-EFG method. Engineering Analysis with Boundary Elements 2004; 28:443-451.
    • (2004) Engineering Analysis with Boundary Elements , vol.28 , pp. 443-451
    • Noguchi, H.1    Kawashima, T.2
  • 9
    • 0032048164 scopus 로고    scopus 로고
    • EFG approximation with discontinuous derivatives
    • DOI: 10.1002/ (SICI)1097-0207(19980415)41:7<1215::AID-NME330>3.0.CO;2
    • Krongauz Y, Belytschko T. EFG approximation with discontinuous derivatives. International Journal for Numerical Methods in Engineering 1998; 41:1215-1233. DOI: 10.1002/ (SICI)1097-0207(19980415)41:7<1215::AID-NME330>3.0.CO;2-#.
    • (1998) International Journal for Numerical Methods in Engineering , vol.41 , pp. 1215-1233
    • Krongauz, Y.1    Belytschko, T.2
  • 10
    • 0037404310 scopus 로고    scopus 로고
    • Homogenization of magnetostrictive particle-filled elastomers using an interface-enriched reproducing kernel particle method
    • DOI: 10.1016/S0168-874X(03)00058-1
    • Wang D, Chen J-S, Sun L. Homogenization of magnetostrictive particle-filled elastomers using an interface-enriched reproducing kernel particle method. Finite Elements in Analysis and Design 2003; 39(8):765-782. DOI: 10.1016/S0168-874X(03)00058-1.
    • (2003) Finite Elements in Analysis and Design , vol.39 , Issue.8 , pp. 765-782
    • Wang, D.1    Chen, J.-S.2    Sun, L.3
  • 11
    • 33846161579 scopus 로고    scopus 로고
    • Extrinsic meshfree approximation using asymptotic expansion for interfacial discontinuity of derivative
    • Kim DW, Yoon Y-C, Liu WK, Belytschko T. Extrinsic meshfree approximation using asymptotic expansion for interfacial discontinuity of derivative. Journal of Computational Physics 2007; 221(1):370-394.
    • (2007) Journal of Computational Physics , vol.221 , Issue.1 , pp. 370-394
    • Kim, D.W.1    Yoon, Y.-C.2    Liu, W.K.3    Belytschko, T.4
  • 12
    • 34548091269 scopus 로고    scopus 로고
    • Meshfree point collocation method with intrinsic enrichment for interface problems
    • DOI: 10.1007/s00466-007-0162-1
    • Kim DW, Liu WK, Yoon Y-C, Belytschko T, Lee S-H. Meshfree point collocation method with intrinsic enrichment for interface problems. Computational Mechanics 2007; 40(6):1037-1052. DOI: 10.1007/s00466-007-0162-1.
    • (2007) Computational Mechanics , vol.40 , Issue.6 , pp. 1037-1052
    • Kim, D.W.1    Liu, W.K.2    Yoon, Y.-C.3    Belytschko, T.4    Lee, S.-H.5
  • 13
    • 3242696934 scopus 로고    scopus 로고
    • Application of meshless local Petrov-Galerkin (MLPG) to problems with singularities, and material discontinuities, in 3-D elasticity
    • Li Q, Shen S, Han ZD, Atluri SN. Application of meshless local Petrov-Galerkin (MLPG) to problems with singularities, and material discontinuities, in 3-D elasticity. Computer Modeling in Engineering and Science 2003; 4(5):571-586.
    • (2003) Computer Modeling in Engineering and Science , vol.4 , Issue.5 , pp. 571-586
    • Li, Q.1    Shen, S.2    Han, Z.D.3    Atluri, S.N.4
  • 14
    • 33646493214 scopus 로고    scopus 로고
    • Analysis of structure with material interface by meshfree method
    • Masuda S, Noguchi H. Analysis of structure with material interface by meshfree method. Computer Modeling in Engineering and Science 2006; 11(3):131-144.
    • (2006) Computer Modeling in Engineering and Science , vol.11 , Issue.3 , pp. 131-144
    • Masuda, S.1    Noguchi, H.2
  • 15
    • 36949023617 scopus 로고    scopus 로고
    • Free and forced vibrations of a segmented bar by a meshless local Petrov-Galerkin (MLPG) formulation
    • DOI: 10.1007/ s00466-006-0049-6
    • Batra R, Porfiri M, Spinello D. Free and forced vibrations of a segmented bar by a meshless local Petrov-Galerkin (MLPG) formulation. Computational Mechanics 2008; 41(4):473-491. DOI: 10.1007/ s00466-006-0049-6.
    • (2008) Computational Mechanics , vol.41 , Issue.4 , pp. 473-491
    • Batra, R.1    Porfiri, M.2    Spinello, D.3
  • 16
    • 84882994291 scopus 로고    scopus 로고
    • Numerical analysis of underwater explosion problem using moving least squares-smoothed particle hydrodynamics (investigation into derivative discontinuity treatment on gas-liquid interface)
    • Hashimoto G, Noguchi H. Numerical analysis of underwater explosion problem using moving least squares-smoothed particle hydrodynamics (investigation into derivative discontinuity treatment on gas-liquid interface). Transactions of Japan Society for Computational Engineering and Science 2007; 2007:1-14.
    • (2007) Transactions of Japan Society for Computational Engineering and Science , vol.2007 , pp. 1-14
    • Hashimoto, G.1    Noguchi, H.2
  • 17
    • 0029484915 scopus 로고
    • Analysis of thin plates by the element-free Galerkin method
    • DOI: 10.1007/BF00356476
    • Krysl P, Belytschko T. Analysis of thin plates by the element-free Galerkin method. Computational Mechanics 1995; 17(1):26-35. DOI: 10.1007/BF00356476.
    • (1995) Computational Mechanics , vol.17 , Issue.1 , pp. 26-35
    • Krysl, P.1    Belytschko, T.2
  • 18
    • 0030211580 scopus 로고    scopus 로고
    • Analysis of thin shells by the element-free Galerkin method
    • DOI: 10.1007/BF00356476
    • Krysl P, Belytschko T. Analysis of thin shells by the element-free Galerkin method. International Journal of Solids and Structures 1996; 33(20-22):3057-3080. DOI: 10.1007/BF00356476.
    • (1996) International Journal of Solids and Structures , vol.33 , Issue.20-22 , pp. 3057-3080
    • Krysl, P.1    Belytschko, T.2
  • 19
    • 0031699491 scopus 로고    scopus 로고
    • Meshless methods for shear-deformable beams and plates
    • DOI: 10.1016/S0045-7825 (97)00181-3
    • Donning BM, Liu WK. Meshless methods for shear-deformable beams and plates. Computer Methods in Applied Mechanics and Engineering 1998; 152(1-2):47-71. DOI: 10.1016/S0045-7825 (97)00181-3.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.152 , Issue.1-2 , pp. 47-71
    • Donning, B.M.1    Liu, W.K.2
  • 20
    • 0033896334 scopus 로고    scopus 로고
    • Element free analyses of shell and spatial structures
    • 1215-1240. DOI: 10.1002/ (SICI)1097-0207(20000228)47: 6<1215::AID-NME834>3.0.CO;2-M
    • Noguchi H, Kawashima T, Miyamura T. Element free analyses of shell and spatial structures. International Journal for Numerical Methods in Engineering 2000; 47(6):1215-1240. DOI: 10.1002/ (SICI)1097-0207(20000228)47: 6<1215::AID-NME834>3.0.CO;2-M.
    • (2000) International Journal for Numerical Methods in Engineering , vol.47 , Issue.6
    • Noguchi, H.1    Kawashima, T.2    Miyamura, T.3
  • 22
    • 1842471029 scopus 로고    scopus 로고
    • Locking-free stabilized conforming nodal integration for meshfree Mindlin-Reissener plate formulation
    • DOI: 10.1016/j.cma.2003.12.006
    • Wang D, Chen J-S. Locking-free stabilized conforming nodal integration for meshfree Mindlin-Reissener plate formulation. Computer Methods in Applied Mechanics and Engineering 2004; 193(12-14):1065-1083. DOI: 10.1016/j.cma.2003.12.006.
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , Issue.12-14 , pp. 1065-1083
    • Wang, D.1    Chen, J.-S.2
  • 23
    • 33749439599 scopus 로고    scopus 로고
    • A constrained reproducing kernel particle formulation for shear deformable shell in Cartesian coordinates
    • DOI: 10.1002/nme.1701
    • Chen J-S, Wang D. A constrained reproducing kernel particle formulation for shear deformable shell in Cartesian coordinates. International Journal for Numerical Methods in Engineering 2006; 68(2):151-172. DOI: 10.1002/nme.1701.
    • (2006) International Journal for Numerical Methods in Engineering , vol.68 , Issue.2 , pp. 151-172
    • Chen, J.-S.1    Wang, D.2
  • 25
    • 32044463794 scopus 로고    scopus 로고
    • Conforming radial point interpolation method for spatial shell structures on the stress-resultant shell theory
    • DOI: 10.1007/s00419-005-0405-6
    • Liu L, Chua LP, Ghista DN. Conforming radial point interpolation method for spatial shell structures on the stress-resultant shell theory. Archive of Applied Mechanics 2006; 75(4-5):248-267. DOI: 10.1007/s00419-005-0405-6.
    • (2006) Archive of Applied Mechanics , vol.75 , Issue.4-5 , pp. 248-267
    • Liu, L.1    Chua, L.P.2    Ghista, D.N.3
  • 26
    • 33845670431 scopus 로고    scopus 로고
    • Applications of point interpolation method for spatial general shells structures
    • DOI: 10.1016/j.cma.2006.08.017
    • Liu L, Chua LP, Ghista DN. Applications of point interpolation method for spatial general shells structures. Computer Methods in Applied Mechanics and Engineering 2007; 196(9-12):1633-1647. DOI: 10.1016/j.cma.2006.08.017.
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.9-12 , pp. 1633-1647
    • Liu, L.1    Chua, L.P.2    Ghista, D.N.3
  • 27
    • 33646895162 scopus 로고    scopus 로고
    • A meshfree Hermite-type radial point interpolation method for Kirchhoff plate problems
    • DOI: 10.1002/nme.1587
    • Liu Y, Hon YC, Liew KM. A meshfree Hermite-type radial point interpolation method for Kirchhoff plate problems. International Journal for Numerical Methods in Engineering 2006; 66(7):1153-1178. DOI: 10.1002/nme.1587.
    • (2006) International Journal for Numerical Methods in Engineering , vol.66 , Issue.7 , pp. 1153-1178
    • Liu, Y.1    Hon, Y.C.2    Liew, K.M.3
  • 31
    • 84966237423 scopus 로고
    • Surfaces generated by moving least squares methods
    • Lancaster P, Salkauskas K. Surfaces generated by moving least squares methods. Mathematics of Computation 1981; 37:141-158.
    • (1981) Mathematics of Computation , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkauskas, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.