메뉴 건너뛰기




Volumn 28, Issue 1, 2008, Pages 57-76

Thermal bending of Reissner-Mindlin plates by the MLPG

Author keywords

Functionally graded material; Laplace transform; Local boundary integral equations; MLS approximation; Orthotopic properties; Stehfest's inversion

Indexed keywords

BEAMS AND GIRDERS; BENDING (DEFORMATION); FUNCTIONALLY GRADED MATERIALS; LEAST SQUARES APPROXIMATIONS; OCEAN STRUCTURES; PLATES (STRUCTURAL COMPONENTS); STATISTICAL TESTS;

EID: 49149116693     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (43)

References (61)
  • 1
    • 25444482823 scopus 로고    scopus 로고
    • Vibrations of cracked Euler-Bernoulli beams using Meshless Local Petrov-Galerkin (MLPG) method
    • Andreaus, U.; Batra, R.C.; Porfiri, M. (2005): Vibrations of cracked Euler-Bernoulli beams using Meshless Local Petrov-Galerkin (MLPG) method. CMES: Computer Modeling in Engineering & Sciences, 9 (2): 111-131.
    • (2005) CMES: Computer Modeling in Engineering & Sciences , vol.9 , Issue.2 , pp. 111-131
    • Andreaus, U.1    Batra, R.C.2    Porfiri, M.3
  • 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
  • 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
  • 8
    • 0018519121 scopus 로고
    • Thermal bending of thick rectangular plates
    • Bapu Rao, M.N. (1979): Thermal bending of thick rectangular plates. Nuclear Engineering and Design, 54: 115-118.
    • (1979) Nuclear Engineering and Design , vol.54 , pp. 115-118
    • Bapu Rao, M.N.1
  • 12
    • 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
  • 13
    • 0015416226 scopus 로고
    • Thermal bending of moderately thick rectangular plates
    • Das, M.C.; Rath, B.K. (1972): Thermal bending of moderately thick rectangular plates. AIAA Journal, 10: 1349-1351.
    • (1972) AIAA Journal , vol.10 , pp. 1349-1351
    • Das, M.C.1    Rath, B.K.2
  • 14
    • 0023537581 scopus 로고
    • Analysis of thermal stresses in plates with boundary element method
    • De Leon, S.; Paris, F. (1987): Analysis of thermal stresses in plates with boundary element method. Engineering Analysis, 4: 199-203.
    • (1987) Engineering Analysis , vol.4 , pp. 199-203
    • De Leon, S.1    Paris, F.2
  • 15
    • 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
  • 16
    • 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
  • 17
    • 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.N.; 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.N.2    Atluri, S.N.3
  • 18
    • 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.N.; 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.N.3    Atluri, S.N.4
  • 20
    • 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
  • 21
    • 36448966434 scopus 로고    scopus 로고
    • A meshless Local Petrov-Galerkin method for magnetic diffusion in non-magnetic conductors
    • Johnson, J.N.; Owen, J.M. (2007): A meshless Local Petrov-Galerkin method for magnetic diffusion in non-magnetic conductors. CMES: Computer Modeling in Engineering & Sciences, 22 (3): 165-188.
    • (2007) CMES: Computer Modeling in Engineering & Sciences , vol.22 , Issue.3 , pp. 165-188
    • Johnson, J.N.1    Owen, J.M.2
  • 23
    • 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
  • 24
    • 0344573780 scopus 로고    scopus 로고
    • Thermal bending of thin, anisotropic, clamped elliptic plates
    • Laura, P.A.A.; Rossit, C.A. (1999): Thermal bending of thin, anisotropic, clamped elliptic plates, Ocean Engineering, 29: 485-488.
    • (1999) Ocean Engineering , vol.29 , pp. 485-488
    • Laura, P.A.A.1    Rossit, C.A.2
  • 26
    • 0028481906 scopus 로고
    • Large deflection analysis of plates under thermal loading
    • Lin, R.M.; Lim, M.K.; Du, H. (1994): Large deflection analysis of plates under thermal loading. Comp. Meth. Appl. Mech. Engn., 117: 381-390.
    • (1994) Comp. Meth. Appl. Mech. Engn , vol.117 , pp. 381-390
    • Lin, R.M.1    Lim, M.K.2    Du, H.3
  • 27
    • 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
  • 28
    • 25444527723 scopus 로고    scopus 로고
    • MLPG method based on Rankine source solution for simulating non-linear water waves
    • Ma, Q.W. (2005): MLPG method based on Rankine source solution for simulating non-linear water waves. CMES: Computer Modeling in Engineering & Sciences, 9 (2): 193-209.
    • (2005) CMES: Computer Modeling in Engineering & Sciences , vol.9 , Issue.2 , pp. 193-209
    • Ma, Q.W.1
  • 29
    • 34249320130 scopus 로고    scopus 로고
    • Numerical generation of freak waves using MLPG-R and QALE-FEM methods
    • Ma, Q.W. (2007): Numerical generation of freak waves using MLPG-R and QALE-FEM methods. CMES: Computer Modeling in Engineering & Sciences, 18 (3): 223-234.
    • (2007) CMES: Computer Modeling in Engineering & Sciences , vol.18 , Issue.3 , pp. 223-234
    • Ma, Q.W.1
  • 30
    • 39349096488 scopus 로고    scopus 로고
    • A new meshless interpolation scheme for MLPG-R method
    • Ma, Q.W. (2008): A new meshless interpolation scheme for MLPG-R method. CMES: Computer Modeling in Engineering & Sciences, 23 (2): 75-89.
    • (2008) CMES: Computer Modeling in Engineering & Sciences , vol.23 , Issue.2 , pp. 75-89
    • Ma, Q.W.1
  • 31
    • 84979324422 scopus 로고
    • Thermoelastic plate equations
    • Marguerre, K. (1935): Thermoelastic plate equations. Z. Ang. Math, und Mech., 15: 369-380.
    • (1935) Z. Ang. Math, und Mech , vol.15 , pp. 369-380
    • Marguerre, K.1
  • 33
    • 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
  • 34
    • 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
  • 36
    • 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
  • 37
    • 33745003707 scopus 로고    scopus 로고
    • Meshfree solution of Q-tensor equations of nematostatics using the MLPG method
    • Pecher, R.; Elston, S.; Raynes, P. (2006): Meshfree solution of Q-tensor equations of nematostatics using the MLPG method. CMES: Computer Modeling in Engineering & Sciences, 13 (2): 91-101.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.13 , Issue.2 , pp. 91-101
    • Pecher, R.1    Elston, S.2    Raynes, P.3
  • 38
    • 0032209936 scopus 로고    scopus 로고
    • Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates
    • Praveen, G.N.; Reddy, J.N. (1998): Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates, Int. J. Solids and Structures, 35: 4457-4476.
    • (1998) Int. J. Solids and Structures , vol.35 , pp. 4457-4476
    • Praveen, G.N.1    Reddy, J.N.2
  • 39
    • 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
  • 40
    • 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
  • 41
    • 14844327509 scopus 로고    scopus 로고
    • Three-dimensional transient heat conduction in a functionally graded thick plate with a higher-order plate theory and a meshless local Petrov-Galerkin method
    • Qian, L.F.; Batra R.C. (2005): Three-dimensional transient heat conduction in a functionally graded thick plate with a higher-order plate theory and a meshless local Petrov-Galerkin method. Computational Mechanics, 35: 214-226.
    • (2005) Computational Mechanics , vol.35 , pp. 214-226
    • Qian, L.F.1    Batra, R.C.2
  • 43
    • 0019070996 scopus 로고
    • Effects of shear deformation and anisotropy on the thermal bending of layered composite plates
    • Reddy, J.N.; Hsu, Y.S. (1980): Effects of shear deformation and anisotropy on the thermal bending of layered composite plates, Journal of Thermal Stresses, 3: 475-493.
    • (1980) Journal of Thermal Stresses , vol.3 , pp. 475-493
    • Reddy, J.N.1    Hsu, Y.S.2
  • 44
    • 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
  • 45
    • 0032310727 scopus 로고    scopus 로고
    • Evaluation of transverse thermal stresses in composite plates based on first-order shear deformation theory
    • Rolfes, R.; Noor, A.K.; Sparr, H. (1998): Evaluation of transverse thermal stresses in composite plates based on first-order shear deformation theory, Computer Methods in Applied Mechanics and Engineering, 167: 355-368.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.167 , pp. 355-368
    • Rolfes, R.1    Noor, A.K.2    Sparr, H.3
  • 47
    • 0033738166 scopus 로고    scopus 로고
    • Nonlinear analysis of simply supported Reissner-Mindlin plates subjected to lateral pressure and thermal loading and resting on two-parameter elastic foundations
    • Shen, H.S. (2000): Nonlinear analysis of simply supported Reissner-Mindlin plates subjected to lateral pressure and thermal loading and resting on two-parameter elastic foundations. Engineering Structures, 23: 1481-1493.
    • (2000) Engineering Structures , vol.23 , pp. 1481-1493
    • Shen, H.S.1
  • 48
    • 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
  • 49
    • 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
  • 50
    • 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, C.5
  • 51
  • 52
    • 84976835846 scopus 로고    scopus 로고
    • Stehfest, H. (1970): Algorithm 368: numerical inversion of Laplace transform. Comm. Assoc. Comput. Mach., 13: 47-49.
    • Stehfest, H. (1970): Algorithm 368: numerical inversion of Laplace transform. Comm. Assoc. Comput. Mach., 13: 47-49.
  • 53
    • 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
  • 55
    • 0002920954 scopus 로고
    • Thermal stresses in plates -statical problems
    • Hetnarski R.B. ed, North Holland: New York
    • Tauchert T.R. (1986) Thermal stresses in plates -statical problems, In Thermal Stresses (Hetnarski R.B. ed.), vol I. North Holland: New York, 23-137.
    • (1986) Thermal Stresses , vol.1 , pp. 23-137
    • Tauchert, T.R.1
  • 56
    • 0002920954 scopus 로고
    • Thermal stresses in plates - dynamical problems
    • Hetnarski R.B. ed, North Holland: New York
    • Tauchert T.R. (1987) Thermal stresses in plates - dynamical problems, In Thermal Stresses (Hetnarski R.B. ed.), vol II. North Holland: New York, 23-137.
    • (1987) Thermal Stresses , vol.2 , pp. 23-137
    • Tauchert, T.R.1
  • 57
    • 84914887052 scopus 로고
    • Thermally induced flexure, buckling and vibration of plates
    • Tauchert T.R. (1991): Thermally induced flexure, buckling and vibration of plates. Applied Mechanics Reviews, 44: 347-360.
    • (1991) Applied Mechanics Reviews , vol.44 , pp. 347-360
    • Tauchert, T.R.1
  • 58
    • 0036640788 scopus 로고    scopus 로고
    • Exact solution for thermoelastic deformations of functionally graded thick rectangular plates
    • Vel, S.S.; Batra, R.C. (2002): Exact solution for thermoelastic deformations of functionally graded thick rectangular plates. AIAA Journal, 40: 1421-1433.
    • (2002) AIAA Journal , vol.40 , pp. 1421-1433
    • Vel, S.S.1    Batra, R.C.2
  • 59
    • 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
  • 60
    • 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
  • 61
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.