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Volumn 13, Issue 2, 2006, Pages 103-117

Meshless Local Petrov-Galerkin (MLPG) method for shear deformable shells analysis

Author keywords

Laplace transform; Local boundary integral equations; MLS approximation; Reissner theory; Static and impact loads; Stehfest's inversion

Indexed keywords

BOUNDARY VALUE PROBLEMS; DYNAMIC LOADS; ELASTOHYDRODYNAMICS; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; SHEAR DEFORMATION;

EID: 33744969602     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (75)

References (35)
  • 1
    • 33744989424 scopus 로고
    • On boundary integral equation formulation for elastic shallow shell bending problems
    • (Brebbia C.A., ed.), Springer, Berlin
    • Antes, H. (1981): On boundary integral equation formulation for elastic shallow shell bending problems. In Boundary Element Methods (Brebbia C.A., ed.), Springer, Berlin, 224-238.
    • (1981) Boundary Element Methods , pp. 224-238
    • Antes, H.1
  • 4
    • 0033885238 scopus 로고    scopus 로고
    • The local boundary integral equation (LBIE) and its meshless implementation for linear elasticity
    • Atluri, S.N.; Sladek, J.; Sladek, V.; Zhu, T. (2000): The local boundary integral equation (LBIE) and its meshless implementation for linear elasticity. Comput. Mech., 25: 180-198.
    • (2000) Comput. Mech. , vol.25 , pp. 180-198
    • Atluri, S.N.1    Sladek, J.2    Sladek, V.3    Zhu, T.4
  • 5
    • 0242346713 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) approaches for solving the weakly-singular traction & displacement boundary integral equations
    • Atluri, S.N.; Han, Z.D.; Shen, S. (2003): Meshless local Petrov-Galerkin (MLPG) approaches for solving the weakly-singular traction & displacement boundary integral equations. CMES: Computer Modeling in Engineering & Sciences, 4: 507-516.
    • (2003) CMES: Computer Modeling in Engineering & Sciences , vol.4 , pp. 507-516
    • Atluri, S.N.1    Han, Z.D.2    Shen, S.3
  • 7
    • 0001869975 scopus 로고
    • Static and dynamic analysis of shells
    • (Beskos DE ed.). Springer-Verlag: Berlin, 1991
    • Beskos D.E. (1991) Static and dynamic analysis of shells, In Boundary Element Analysis of Plates and Shells (Beskos DE ed.). Springer-Verlag: Berlin, 1991, 93-140.
    • (1991) Boundary Element Analysis of Plates and Shells , pp. 93-140
    • Beskos, D.E.1
  • 9
    • 4344620831 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) approaches for solving 3D problems in elasto-statics
    • Han, Z.D.; Atluri, S.N. (2004a): Meshless local Petrov-Galerkin (MLPG) approaches for solving 3D problems in elasto-statics. CMES: Computer Modeling in Engineering & Sciences, 6: 169-188.
    • (2004) CMES: Computer Modeling in Engineering & Sciences , vol.6 , pp. 169-188
    • Han, Z.D.1    Atluri, S.N.2
  • 10
    • 11144289714 scopus 로고    scopus 로고
    • A meshless local Petrov-Galerkin (MLPG) approach for 3-dimensional elasto-dynamics
    • Han, Z.D.; Atluri, S.N. (2004b): A meshless local Petrov-Galerkin (MLPG) approach for 3-dimensional elasto-dynamics. CMC: Computers, Materials & Continua, 1: 129-140.
    • (2004) CMC: Computers, Materials & Continua , vol.1 , pp. 129-140
    • Han, Z.D.1    Atluri, S.N.2
  • 11
    • 0039554194 scopus 로고
    • Analysis of thin plates by the element-free Galerkin method
    • Krysl, P.; Belytschko, T. (1985): Analysis of thin plates by the element-free Galerkin method, Computational Mechanics, 16: 1-10.
    • (1985) Computational Mechanics , vol.16 , pp. 1-10
    • Krysl, P.1    Belytschko, T.2
  • 12
    • 0030211580 scopus 로고    scopus 로고
    • Analysis of thin shells by the element-free Galerkin method
    • Krysl, P.; Belytschko, T. (1996): Analysis of thin shells by the element-free Galerkin method, Int. J. Solids and Structures, 33: 3057-3080.
    • (1996) Int. J. Solids and Structures , vol.33 , pp. 3057-3080
    • Krysl, P.1    Belytschko, T.2
  • 13
    • 84966237423 scopus 로고
    • Surfaces generated by moving least square methods, Math
    • Lancaster, P.; Salkauskas, T. (1981): Surfaces generated by moving least square methods, Math. Comput., 37: 141-158.
    • (1981) Comput. , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkauskas, T.2
  • 14
    • 0030182105 scopus 로고    scopus 로고
    • Geometrically nonlinear analysis of the shallow shell by the displacement-based boundary element formulation
    • Lin, J.; Long, S. (1996): Geometrically nonlinear analysis of the shallow shell by the displacement-based boundary element formulation. Engn. Analysis with Boundary Elements, 18: 63-70.
    • (1996) Engn. Analysis with Boundary Elements , vol.18 , pp. 63-70
    • Lin, J.1    Long, S.2
  • 15
    • 0043205008 scopus 로고    scopus 로고
    • A meshless local Petrov Galerkin method for solving the bending problem of a thin plate
    • Long, S.Y.; Atluri, S.N. (2002): A meshless local Petrov Galerkin method for solving the bending problem of a thin plate. CMES: Computer Modeling in Engineering & Sciences, 3: 11-51.
    • (2002) CMES: Computer Modeling in Engineering & Sciences , vol.3 , pp. 11-51
    • Long, S.Y.1    Atluri, S.N.2
  • 16
    • 0026626529 scopus 로고
    • Boundary element analysis of shallow shells involving shear deformation
    • Lu, P.; Huang, M. (1992): Boundary element analysis of shallow shells involving shear deformation. Int. J. Solids and Structures, 29: 1273-1282.
    • (1992) Int. J. Solids and Structures , vol.29 , pp. 1273-1282
    • Lu, P.1    Huang, M.2
  • 17
    • 0036723062 scopus 로고    scopus 로고
    • Localized boundary-domain integral formulations for problems with variable coefficients
    • Mikhailov, S.E. (2002): Localized boundary-domain integral formulations for problems with variable coefficients. Engn. Analysis with Boundary Elements, 26: 681-690.
    • (2002) Engn. Analysis with Boundary Elements , vol.26 , pp. 681-690
    • Mikhailov, S.E.1
  • 19
    • 0041011480 scopus 로고
    • Boundary value problems in thin shallow shells of arbitrary plan form
    • Newton, D.A.; Tottenham, H. (1968): Boundary value problems in thin shallow shells of arbitrary plan form. Journal of Engineering Mathematics, 2: 211-223.
    • (1968) Journal of Engineering Mathematics , vol.2 , pp. 211-223
    • Newton, D.A.1    Tottenham, H.2
  • 22
    • 85162617044 scopus 로고
    • Stresses and small displacements analysis of shallow shells-II
    • Reissner, E. (1946): Stresses and small displacements analysis of shallow shells-II, Journal Math. Physics, 25: 279-300.
    • (1946) Journal Math. Physics , vol.25 , pp. 279-300
    • Reissner, E.1
  • 25
    • 0037200887 scopus 로고    scopus 로고
    • Mesh less formulations for simply supported and clamped plate problems
    • Sladek, J.; Sladek, V.; Mang, H.A. (2002): Mesh less formulations for simply supported and clamped plate problems. Int. J. Num. Meth. Engn., 55: 359-375.
    • (2002) Int. J. Num. Meth. Engn. , vol.55 , pp. 359-375
    • Sladek, J.1    Sladek, V.2    Mang, H.A.3
  • 26
    • 0038516821 scopus 로고    scopus 로고
    • Meshless LBIE formulations for simply supported and clamped plates under dynamic load
    • Sladek, J.; Sladek, V.; Mang, H.A. (2003): Meshless LBIE formulations for simply supported and clamped plates under dynamic load. Computers and Structures, 81: 1643-1651.
    • (2003) Computers and Structures , vol.81 , pp. 1643-1651
    • Sladek, J.1    Sladek, V.2    Mang, H.A.3
  • 27
    • 33744998322 scopus 로고    scopus 로고
    • Meshless Local Petrov-Galerkin (MLPG) method for Reissner-Mindlin plates under dynamic load
    • submitted for publication
    • Sladek, J.; Sladek, V.; Krivacek, J.; Wen, P.; Zhang, Ch. (2005): Meshless Local Petrov-Galerkin (MLPG) method for Reissner-Mindlin plates under dynamic load. Computers and Structures, submitted for publication.
    • (2005) Computers and Structures
    • Sladek, J.1    Sladek, V.2    Krivacek, J.3    Wen, P.4    Zhang, Ch.5
  • 28
  • 29
    • 84976835846 scopus 로고
    • Algorithm 368: Numerical inversion of Laplace transform
    • Stehfest, H. (1970): Algorithm 368: numerical inversion of Laplace transform. Comm. Assoc. Comput. Mach., 13: 47-49.
    • (1970) Comm. Assoc. Comput. Mach. , vol.13 , pp. 47-49
    • Stehfest, H.1
  • 30
    • 0020950092 scopus 로고
    • A boundary integral equation formulation for elastic shallow shell bending problems
    • (Brebbia C.A., Futagami T. and Tanaka M. eds.), Springer, Berlin
    • Tosaka, H.; Miyake, S. (1983): A boundary integral equation formulation for elastic shallow shell bending problems. In Boundary Element Methods (Brebbia C.A., Futagami T. and Tanaka M. eds.), Springer, Berlin, 527-538.
    • (1983) Boundary Element Methods , pp. 527-538
    • Tosaka, H.1    Miyake, S.2
  • 31
    • 0000218406 scopus 로고
    • The boundary element method for plates and shells
    • (Banerjee P.K. and Butterfield R., eds.), Applied Science, London
    • Tottenham, H. (1979): The boundary element method for plates and shells. In Developments in Boundary Element Methods (Banerjee P.K. and Butterfield R., eds.), Applied Science, London, 173-205.
    • (1979) Developments in Boundary Element Methods , pp. 173-205
    • Tottenham, H.1
  • 32
    • 0029768668 scopus 로고    scopus 로고
    • Boundary integral equation formulation for moderately thick laminated orthotropic shallow shells
    • Wang, J.; Schweizerhof, K. (1996a): Boundary integral equation formulation for moderately thick laminated orthotropic shallow shells. Computers and Structures, 58: 277-287.
    • (1996) Computers and Structures , vol.58 , pp. 277-287
    • Wang, J.1    Schweizerhof, K.2
  • 33
    • 0030212679 scopus 로고    scopus 로고
    • Study on free vibration of moderately thick orthotropic laminated shallow shells by boundary-domain elements
    • Wang, J.; Schweizerhof, K. (1996b): Study on free vibration of moderately thick orthotropic laminated shallow shells by boundary-domain elements, Applied Mathematical Modelling, 20: 579-584.
    • (1996) Applied Mathematical Modelling , vol.20 , pp. 579-584
    • Wang, J.1    Schweizerhof, K.2
  • 34
    • 0030035077 scopus 로고    scopus 로고
    • Boundary-domain element method for free vibration of moderately thick laminated orthotropic shallow shells
    • Wang, J.; Schweizerhof, K. (1996c): Boundary-domain element method for free vibration of moderately thick laminated orthotropic shallow shells, Int. J. Solids and Structures, 33: 11-18.
    • (1996) Int. J. Solids and Structures , vol.33 , pp. 11-18
    • Wang, J.1    Schweizerhof, K.2
  • 35
    • 46149137626 scopus 로고
    • A boundary/interior element method for quasi static and transient response analysis of shallow shells
    • Zhang, J.D.; Atluri, S.N. (1986): A boundary/interior element method for quasi static and transient response analysis of shallow shells, Computers and Structures, 24: 213-223.
    • (1986) Computers and Structures , vol.24 , pp. 213-223
    • Zhang, J.D.1    Atluri, S.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.