Extended meshfree analysis of transverse and inplane loading of a laminated anisotropic plate of general planform geometry

International Journal of Solids and Structures

Volumn 43, Issue 1, 2006, Pages 144-171

  Wang, Dongdong ^a   Dong, Stanley B ^b   Chen, Jiun Shyan ^b  

^a XIAMEN UNIVERSITY   (China)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Generalized Navier solutions; Green's functions; Laminated anisotropic plate; Meshfree analysis

Indexed keywords

ANISOTROPY; BOUNDARY CONDITIONS; ELASTICITY; GREEN'S FUNCTION; LAMINATES; LOADS (FORCES);

ELASTOSTATIC LOADING; GENERALIZED NAVIER SOLUTIONS; LAMINATED ANISOTROPIC PLATE; MESHFREE ANALYSIS;

PLATES (STRUCTURAL COMPONENTS);

EID: 28244495106     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2005.03.068     Document Type: Article

References (24)

1. W. Becker A complex potential method for plate problems with bending extension coupling Arch. Appl. Mech. 61 1991 318 326
2. W. Becker Closed-form analytical solution for a Griffith crack in a non-symmetric laminate plate Comput. Struct. 21 1992 49 55
3. W. Becker Complex method for the elliptical hole in an unsymmetric laminate Arch. Appl. Mech. 63 1993 159 169
4. W. Becker Concentrated forces and moments on laminates with bending extension coupling Comput. Struct. 30 1995 1 11
5. T. Belytschko, Y.Y. Lu, and L. Gu Element-free Galerkin methods Int. J. Numer. Methods Eng. 37 1994 256 299
6. J.S. Chen, C.T. Wu, S. Yoon, and Y. You A Stabilized conforming nodal integration for Galerkin meshfree methods Int. J. Numer. Methods Eng. 50 2001 435 466
7. J.S. Chen, C.T. Wu, and S. Yoon Nonlinear version of stabilized conforming nodal integration for Galerkin meshfree methods Int. J. Numer. Methods Eng. 53 2002 2587 2615
8. J.S. Chen, D.D. Wang, and S.B. Dong An extended meshfree method for boundary value problems Comput. Methods Appl. Mech. Engrg. 193 2004 1085 1103
9. Z.Q. Cheng, and J.N. Reddy Octet formalism for Kirchhoff anisotropic plates Proc. Royal Soc. Lond. Ser. A 458 2002 1499 1517
10. Z.Q. Cheng, and J.N. Reddy Green's functions for infinite and semi-infinite anisotropic thin plates J. Appl. Mech. 70 2 2003 260 267
11. S.B. Dong, and C.K. Chun Shear constitutive relations for laminated anisotropic shells and plates: part I - methodology J. Appl. Mech. 59 2 1992 372 379
12. S.B. Dong, and F.K.W. Tso On a laminated orthotropic shell theory including transverse shear deformation J. Appl. Mech. 39 4 1972 1091 1097
13. A.E. Green, and W. Zerna Theoretical Elasticity 1960 Oxford University Press (see footnotes on p. 184, 185)
14. Lekhnitskii, S.G., 1957. Anisotropic Plates. Gos. Izd., Moscow (in Russian). English Translation by Gordon and Breech, New York, 1968.
15. W.K. Liu, S. Jun, and Y.F. Zhang Reproducing kernel particle methods Int. J. Numer. Methods Fluids 20 1995 1081 1106
16. P. Lu Stroh-type formalism for unsymmetric laminated plate Mech. Res. Commun. 21 1994 249 254
17. P. Lu, and O. Mahrenholtz Extension of the Stroh formalism to the analysis of bending of anisotropic elastic plates J. Mech. Phys. Solids 42 1994 1725 1741
18. R.D. Mindlin Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates J. Appl. Mech. 18 1951 31 38
19. D. Wang, and J.S. Chen Locking free stabilized conforming nodal integration for meshfree Mindlin-Reissner plate formulation Comput. Methods Appl. Mech. Engrg. 193 2004 1065 1083
20. J.M. Whitney Structural Analysis of Laminated Anisotropic Plates 1987 Technomic Publishing Company, Inc. Lancaster, PA
21. W.L. Yin General solutions of anisotropic plates J. Appl. Mech. 70 4 2003 496 504
22. W.L. Yin Structure and properties of the solution space of general anisotropic laminates Int. J. Solids Struct. 40 8 2003 1825 1852
23. D.D. Zakharov, and W. Becker Singular potentials and double-force solutions for anisotropic laminates with coupled bending and stretching Arch. Appl. Mech. 70 2000 659 669
24. D.D. Zakharov, and W. Becker Unsymmetric composite with a discontinuity of the in-plane displacement or of the slope Acta Mech. 144 2000 127 135