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Volumn 15, Issue 1, 2010, Pages 1-25

Meshless local Petrov-Galerkin (MLPG) method for laminate plates under dynamic loading

Author keywords

Houbolt finitedifference scheme; Local integral equations; MLS approximation; Orthotropic material properties; Reissner Mindlin plate theory

Indexed keywords

FINITE-DIFFERENCE SCHEME; LOCAL INTEGRAL EQUATIONS; MLS APPROXIMATION; ORTHOTROPIC MATERIAL PROPERTIES; REISSNER-MINDLIN PLATE THEORY;

EID: 77952874481     PISSN: 15462218     EISSN: 15462226     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (8)

References (49)
  • 1
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
    • Atluri, S.N.; Zhu, T. (1998): A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics. Computational Mechanics, 22: 117-127.
    • (1998) Computational Mechanics , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 2
    • 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. Computational Mechanics, 25: 180-198.
    • (2000) Computational Mechanics , vol.25 , pp. 180-198
    • Atluri, S.N.1    Sladek, J.2    Sladek, V.3    Zhu, T.4
  • 4
    • 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
  • 5
    • 25444442549 scopus 로고    scopus 로고
    • th order ODE: Illustartion of various primal & mixed MLPG methods
    • Atluri, S.N.; Shen, S. (2005): Simulation of a 4th order ODE: Illustartion of various primal & mixed MLPG methods. CMES: Computer Modeling in Engineering & Sciences, 7 (3): 241-268.
    • (2005) CMES: Computer Modeling in Engineering & Sciences , vol.7 , Issue.3 , pp. 241-268
    • Atluri, S.N.1    Shen, S.2
  • 6
    • 33749851268 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) mixed collocation method for elasticity problems
    • Atluri, S.N.; Liu, H.T.; Han, Z.D. (2006a): Meshless local Petrov-Galerkin (MLPG) mixed collocation method for elasticity problems. CMES: Computer Modeling in Engineering & Sciences, 14 (3): 141-152.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.14 , Issue.3 , pp. 141-152
    • Atluri, S.N.1    Liu, H.T.2    Han, Z.D.3
  • 7
    • 33749874042 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) mixed finite difference method for solid mechanics
    • Atluri, S.N.; Liu, H.T.; Han, Z.D. (2006b): Meshless local Petrov-Galerkin (MLPG) mixed finite difference method for solid mechanics. CMES: Computer Modeling in Engineering & Sciences, 15 (1): 1-16.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.15 , Issue.1 , pp. 1-16
    • Atluri, S.N.1    Liu, H.T.2    Han, Z.D.3
  • 9
    • 33744998980 scopus 로고    scopus 로고
    • Thermomechanical analysis of functionally graded composites under laser heating by the MLPG method
    • Ching, H.K.; Chen, J.K. (2006): Thermomechanical analysis of functionally graded composites under laser heating by the MLPG method. CMES: Computer Modeling in Engineering & Sciences, 13 (3): 199-217.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.13 , Issue.3 , pp. 199-217
    • Ching, H.K.1    Chen, J.K.2
  • 10
    • 0023537581 scopus 로고
    • ANALYSIS OF THERMAL STRESSES IN PLATES WITH BOUNDARY ELEMENT METHOD.
    • DOI 10.1016/0264-682X(87)90042-6
    • De Leon, S.; Paris, F. (1987): Analysis of thermal stresses in plates with boundary element method. Engineering Analysis with Boundary Elements, 4: 199-203. (Pubitemid 18564887)
    • (1987) Engineering Analysis , vol.4 , Issue.4 , pp. 199-203
    • De Leon, S.1    Paris, F.2
  • 11
  • 12
    • 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
  • 13
    • 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
  • 14
    • 29844443280 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) approaches for solving nonlinear problems with large deformations and rotations
    • Han, Z.D.; Rajendran, A.M.; Atluri, S.N. (2005): Meshless Local Petrov-Galerkin (MLPG) approaches for solving nonlinear problems with large deformations and rotations. CMES: Computer Modeling in Engineering & Sciences, 10 (1): 1-12.
    • (2005) CMES: Computer Modeling in Engineering & Sciences , vol.10 , Issue.1 , pp. 1-12
    • Han, Z.D.1    Rajendran, A.M.2    Atluri, S.N.3
  • 15
    • 33749866016 scopus 로고    scopus 로고
    • The applications of meshless local Petrov-Galerkin (MLPG) approaches in high-speed impact, penetration and perforation problems
    • Han, Z.D.; Liu, H.T.; Rajendran, A.M.; Atluri, S.N. (2006): The applications of Meshless Local Petrov-Galerkin (MLPG) approaches in high-speed impact, penetration and perforation problems. CMES: Computer Modeling in Engineering & Sciences, 14 (2): 119-128.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.14 , Issue.2 , pp. 119-128
    • Han, Z.D.1    Liu, H.T.2    Rajendran, A.M.3    Atluri, S.N.4
  • 16
    • 9144253712 scopus 로고
    • A recurrence matrix solution for the dynamic response of elastic aircraft
    • Houbolt, J.C. (1950): A recurrence matrix solution for the dynamic response of elastic aircraft. Journal of Aeronautical Sciences, 17: 371-376.
    • (1950) Journal of Aeronautical Sciences , vol.17 , pp. 371-376
    • Houbolt, J.C.1
  • 17
    • 34249341315 scopus 로고    scopus 로고
    • Analysis of shell deformation responses by the meshless local Petrov-Galerkin (MLPG) approach
    • Jarak, T.; Soric, J.; Hoster, J. (2007): Analysis of shell deformation responses by the Meshless Local Petrov-Galerkin (MLPG) approach. CMES: Computer Modeling in Engineering & Sciences, 18 (3): 235-246.
    • (2007) CMES: Computer Modeling in Engineering & Sciences , vol.18 , Issue.3 , pp. 235-246
    • Jarak, T.1    Soric, J.2    Hoster, J.3
  • 18
    • 84966237423 scopus 로고
    • Surfaces generated by moving least square methods
    • Lancaster, P.; Salkauskas, T. (1981): Surfaces generated by moving least square methods. Math. Comput., 37: 141-158.
    • (1981) Math. Comput. , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkauskas, T.2
  • 19
    • 0003581423 scopus 로고
    • Theory of elasticity of an anisotropic body
    • Lekhnitskii, S.G. (1963): Theory of Elasticity of an Anisotropic Body. Holden Day.
    • (1963) Holden Day
    • Lekhnitskii, S.G.1
  • 20
    • 33749839511 scopus 로고    scopus 로고
    • Computational modelling of impact response with the RG damage model and the meshless local Petrov-Galerkin (MLPG) approaches
    • Liu, H.T.; Han, Z.D.; Rajendran, A.M.; Atluri, S.N. (2006): Computational modelling of impact response with the RG damage model and the meshless local Petrov-Galerkin (MLPG) approaches. CMC: Computers, Materials & Continua, 4: 43-53.
    • (2006) CMC: Computers, Materials & Continua , vol.4 , pp. 43-53
    • Liu, H.T.1    Han, Z.D.2    Rajendran, A.M.3    Atluri, S.N.4
  • 21
    • 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
  • 23
    • 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. Eng. Analysis with Boundary Elements, 26: 681-690.
    • (2002) Eng. Analysis with Boundary Elements , vol.26 , pp. 681-690
    • Mikhailov, S.E.1
  • 24
    • 84973010670 scopus 로고
    • Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates
    • Mindlin, R.D. (1951): Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates. Journal of Applied Mechanics ASME, 18: 31-38.
    • (1951) Journal of Applied Mechanics ASME , vol.18 , pp. 31-38
    • Mindlin, R.D.1
  • 25
    • 0022785323 scopus 로고
    • Laminated composite plate theory with improved in-plane responses
    • Murakami, H. (1986): Laminated composite plate theory with improved in-plane responses. Journal of Applied Mechanics ASME, 53: 661-666.
    • (1986) Journal of Applied Mechanics ASME , vol.53 , pp. 661-666
    • Murakami, H.1
  • 27
    • 33646848904 scopus 로고    scopus 로고
    • The optimal radius of the support of radial weights used in Moving Least Squares approximation
    • Nie, Y.F.; Atluri, S.N.; You, C.W. (2006): The optimal radius of the support of radial weights used in Moving Least Squares approximation. CMES: Computer Modeling in Engineering & Sciences, 12 (2): 137-147.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.12 , Issue.2 , pp. 137-147
    • Nie, Y.F.1    Atluri, S.N.2    You, C.W.3
  • 28
    • 84964144652 scopus 로고
    • Exact solutions for composite laminates in cylindrical bending
    • Pagano, N.J. (1969): Exact solutions for composite laminates in cylindrical bending. Journal of Composite Materials, 3: 398-411.
    • (1969) Journal of Composite Materials , vol.3 , pp. 398-411
    • Pagano, N.J.1
  • 29
    • 34249322302 scopus 로고    scopus 로고
    • The effect of internal support conditions to the elestoplastic transient response of Reissner-Mindlin plates
    • Providakis, C.P. (2007): The effect of internal support conditions to the elestoplastic transient response of Reissner-Mindlin plates. CMES: Computer Modeling in Engineering & Sciences, 18 (3): 247-258.
    • (2007) CMES: Computer Modeling in Engineering & Sciences , vol.18 , Issue.3 , pp. 247-258
    • Providakis, C.P.1
  • 30
    • 3042699920 scopus 로고    scopus 로고
    • Analysis of cylindrical bending thermoelastic deformations of fuctionally graded plates by a meshless local Petrov-Galerkin method
    • Qian, L.F.; Batra, R.C.; Chen, L.M. (2004): Analysis of cylindrical bending thermoelastic deformations of fuctionally graded plates by a meshless local Petrov-Galerkin method. Computational Mechanics, 33: 263-273.
    • (2004) Computational Mechanics , vol.33 , pp. 263-273
    • Qian, L.F.1    Batra, R.C.2    Chen, L.M.3
  • 32
    • 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
  • 34
    • 0037200887 scopus 로고    scopus 로고
    • Meshless formulations for simply supported and clamped plate problems
    • Sladek, J.; Sladek, V.; Mang, H.A. (2002): Meshless 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
  • 35
    • 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
  • 37
    • 34147146929 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) method for Reissner-Mindlin plates under dynamic load
    • Sladek, J.; Sladek, V.; Krivacek, J.; Wen, P.; Zhang, Ch. (2007): Meshless Local Petrov-Galerkin (MLPG) method for Reissner-Mindlin plates under dynamic load. Computer Meth. Appl. Mech. Engn., 196: 2681-2691.
    • (2007) Computer Meth. Appl. Mech. Engn. , vol.196 , pp. 2681-2691
    • Sladek, J.1    Sladek, V.2    Krivacek, J.3    Wen, P.4    Zhang, Ch.5
  • 38
    • 33646790185 scopus 로고    scopus 로고
    • Numerical modelling of damage response of layered composite plates
    • Smojver, I.; Soric, J. (2007): Numerical modelling of damage response of layered composite plates. CMC: Computers, Materials & Continua, 5: 13-24.
    • (2007) CMC: Computers, Materials & Continua , vol.5 , pp. 13-24
    • Smojver, I.1    Soric, J.2
  • 39
  • 40
    • 33646489824 scopus 로고    scopus 로고
    • Plate bending analysis by using a modified plate theory
    • Suetake, Y. (2006): Plate bending analysis by using a modified plate theory. CMES: Computer Modeling in Engineering & Sciences, 11 (3): 103-110.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.11 , Issue.3 , pp. 103-110
    • Suetake, Y.1
  • 42
    • 0033226160 scopus 로고    scopus 로고
    • Analytical solution of rectangular thick plates subjected to arbitrary boundary conditions
    • Vel, S.; Batra, R.C. (1999): Analytical solution of rectangular thick plates subjected to arbitrary boundary conditions. AIAA Journal, 37: 1464-1473.
    • (1999) AIAA Journal , vol.37 , pp. 1464-1473
    • Vel, S.1    Batra, R.C.2
  • 43
    • 0033889004 scopus 로고    scopus 로고
    • The generalized plane strain deformations of thick anisotropic composite laminated plates
    • Vel, S.; Batra, R.C. (2000): The generalized plane strain deformations of thick anisotropic composite laminated plates. International Journal of Solids and Structures, 37: 715-733.
    • (2000) International Journal of Solids and Structures , vol.37 , pp. 715-733
    • Vel, S.1    Batra, R.C.2
  • 44
    • 0035254164 scopus 로고    scopus 로고
    • Generalized plane strain thermoelastic deformation of laminated anisotropic thick plates
    • Vel, S.; Batra, R.C. (2001): Generalized plane strain thermoelastic deformation of laminated anisotropic thick plates. International Journal of Solids and Structures, 38: 1395-1414.
    • (2001) International Journal of Solids and Structures , vol.38 , pp. 1395-1414
    • Vel, S.1    Batra, R.C.2
  • 45
    • 51249172496 scopus 로고
    • Boundary element method for orthotropic thick plates
    • Wang J.; Huang M. (1991): Boundary element method for orthotropic thick plates. Acta Mechanica Sinica, 7: 258-266.
    • (1991) Acta Mechanica Sinica , vol.7 , pp. 258-266
    • Wang, J.1    Huang, M.2
  • 46
    • 0030212679 scopus 로고    scopus 로고
    • Study on free vibration of moderately thick orthotropic laminated shallow shells by boundary-domain elements
    • Wang J.; Schweizerhof K. (1996): 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
  • 47
    • 35348989827 scopus 로고    scopus 로고
    • Geometrically nonlinear analysis of Reissener-Mindlin plate by meshless computation
    • Wen, P.H.; Hon, Y.C. (2007): Geometrically nonlinear analysis of Reissener-Mindlin plate by meshless computation. CMES: Computer Modeling in Engineering & Sciences, 21(3): 177-191.
    • (2007) CMES: Computer Modeling in Engineering & Sciences , vol.21 , Issue.3 , pp. 177-191
    • Wen, P.H.1    Hon, Y.C.2
  • 48
    • 36448963805 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin collocation method for two-dimensional heat conduction problems
    • Wu, X.H.; Shen, S.P.; Tao, W.Q. (2007): Meshless Local Petrov-Galerkin collocation method for two-dimensional heat conduction problems. CMES: Computer Modeling in Engineering & Sciences, 22 (1): 65-76.
    • (2007) CMES: Computer Modeling in Engineering & Sciences , vol.22 , Issue.1 , pp. 65-76
    • Wu, X.H.1    Shen, S.P.2    Tao, W.Q.3
  • 49
    • 34247138682 scopus 로고    scopus 로고
    • A new quasi-unsymmetric sparse linear systems solver for meshless local Petrov-Galerkin method (MLPG)
    • Yuan, W.; Chen, P.; Liu, K. (2007): A new quasi-unsymmetric sparse linear systems solver for Meshless Local Petrov-Galerkin method (MLPG). CMES: Computer Modeling in Engineering & Sciences, 17 (2): 115-134.
    • (2007) CMES: Computer Modeling in Engineering & Sciences , vol.17 , Issue.2 , pp. 115-134
    • Yuan, W.1    Chen, P.2    Liu, K.3


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