Buckling of rectangular Mindlin plates subjected to partial in-plane edge loads using the radial point interpolation method

International Journal of Solids and Structures

Volumn 41, Issue 5-6, 2004, Pages 1677-1695

  Liew, K M ^a,b   Chen, X L ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Buckling loads; Mindlin plates; Partial in plane edge loads; Radial basis function

Indexed keywords

ALGORITHMS; BUCKLING; INTERPOLATION; NUMERICAL ANALYSIS; STRUCTURAL LOADS;

ELASTIC BUCKLING; PRE-BUCKLING STRESSES;

PLATES (STRUCTURAL COMPONENTS);

BUCKLING; PLATE;

EID: 0742270392     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2003.10.022     Document Type: Article

References (18)

1. Belytschko T. Lu Y.Y. Gu L. Element-free Galerkin methods International Journal for Numerical Methods in Engineering 37 1994 229-256
2. Cheung Y.K. Zhou D. Three-dimensional vibration analysis of cantilevered and completely free isosceles triangular plates International Journal of Solids and Structures 39 2002 673-687
3. Golberg M.A. Chen C.S. Bowman H. Some recent results and proposals for the use of radial basis functions in the BEM Engineering Analysis with Boundary Elements 23 1999 285-296
4. Hardy R.L. Theory and applications of the multiquadrics-biharmonic method (20 years of discovery 1968-1988) Computers and Mathematics with Applications 19 1990 163-208
5. Kansa E.J. Multiquadrics--a scattered data approximation scheme with applications to computational fluid dynamics, I: Surface approximations and partial derivative estimates Computers and Mathematics with Applications 19 8/9 1990 127-145
6. Kitipornchai S. Xiang Y. Wang C.M. Liew K.M. Buckling of thick skew plates International Journal for Numerical Methods in Engineering 36 1993 1299-1310
7. Leissa A.W. Ayoub E.F. Vibration and buckling of a simply supported rectangular plate subjected to a pair of in-plane concentrated forces Journal of Sound and Vibration 127 1 1988 155-171
8. Liew K.M. Xiang Y. Kitipornchai S. Research on thick plate vibration: A literature survey Journal of Sound and Vibration 180 1 1995 163-176
9. Liew K.M. Xiang Y. Kitipornchai S. Analytical buckling solutions for Mindlin plates involving free edges International Journal of Mechanical Sciences 38 10 1996 1127-1138
10. Liew K.M. Huang Y.Q. Reddy J.N. A hybrid moving least squares and differential quadrature (MLSDQ) mesh-free method International Journal of Computational Engineering Science 2 2002 1-12
11. Liew K.M. Ng T.Y. Wu Y.C. Meshless method for large deformation analysis--a reproducing kernel particle method Engineering Structures 24 2002 543-551
12. Liew K.M. Ng T.Y. Zhao X. Reddy J.N. Harmonic reproducing kernel particle method for free vibration analysis of rotating cylindrical shells Computer Methods in Applied Mechanics and Engineering 191 2002 4141-4157
13. Liew K.M. Wu Y.C. Zou G.P. Ng T.Y. Elasto-plasticity revisited: Numerical analysis via reproducing kernel particle method and parametric quadratic programming International Journal for Numerical Methods in Engineering 55 2002 669-683
14. Liu W.K. Jun S. Zhang Y.F. Reproducing kernel particle methods International Journal for Numerical Methods in Fluids 20 1995 1081-1106
15. Nayroles B. Touzot G. Villon P. Generalizing the finite element method: Diffuse approximation and diffuse elements Computational Mechanics 10 1992 307-318
16. Timoshenko S.P. James M.G. Theory of Elastic Stability 1985 McGraw-Hill Singapore
17. Wang J.G. Liu G.R. A point interpolation meshless method based on radial basis functions International Journal for Numerical Methods in Engineering 54 2002 1623-1648
18. Wang C.M. Liew K.M. Xiang Y. Kitipornchai S. Buckling of rectangular Mindlin plates with internal line supports International Journal of Solids and Structures 30 1 1993 1-17