A new hierarchic degenerated shell element for geometrically non-linear analysis of composite laminated square and skew plates

다국어 초록 (Multilingual Abstract)

This paper extends the use of the hierarchic degenerated shell element to geometric non-linear analysis of composite laminated skew plates by the p-version of the finite element method. For thegeometric non-linear analysis, the total Lagrangian formulation is adopted with moderately largedisplacement and small strain being accounted for in the sense of von Karman hypothesis. The presentmodel is based on equivalent-single layer laminate theory with the first order shear deformation includinga shear correction factor of 5/6. The integrals of Legendre polynomials are used for shape functions withp-level varying from 1 to 10. A wide variety of linear and non-linear results obtained by the p-versionfinite element model are presented for the laminated skew plates as well as laminated square plates. Anumerical analysis is made to illustrate the influence of the geometric non-linear effect on the transversedeflections and the stresses with respect to width/depth ratio (a/h), skew angle (b), and stacking sequenceof layers. The present results are in good agreement with the results in literatures.

참고문헌 (Reference)

1 Woo, "“Robustness of hierarchical elements formulated by integrals of Legendre polynomials”" 421-426, 1993

2 Reddy, "“Exact solution of moderately thick laminated shells”" 794-809, 1984

3 Owen, "refined analysis of laminated plates by finite element displacementmethods-I" 907-914, 1987

4 Liu, "p-version curved shel element based on piecewise hierarchicaldisplacement approximation for laminated composite plates and shells Comput" Struct 55 (55): 527-542, 1995

5 Owen, "nisotropic elasto-plastic finite element analysis of thick and thinplates and shells Numer" 541-566, 1983

6 Rank, "n the accuracy of p-version elements for the Reissner-Mindlinplate problem Numer" 43 : 51-67, 1998

7 Krause, "hp-Version finite elements for geometricaly nonlinear problems Communications in Numer" 101 : 887-897, 1995

8 Holzer, "he p-version of finite element methods in incremental elasto-plasticanalysis Numer" 39 : 1859-1878, 1996

9 Liu, "arge-deflection bending of symmetricaly laminated rectilinearlyorthotropic elliptical plates including transverse shear Archiv" 67 : 507-520, 1997

10 2nd Ed, "Theory of Plates and Shells" McGraw-Hill and woi (and woi): 1959

11 Fares, "Non-linear bending analysis of composite laminated plates using a refined first-ordertheory Composite Structures" 46 : 257-266, 1999

12 Reddy, "Mechanics of Laminated Composite Plates" CRC Press 1997

13 Actis, "Hierarchic models for laminated plates and shells Comput" 172 : 79-107, 1999

14 and Barut, "A free-formulation-based flat shell element for non-linear analysis ofcomposite structures Numer" 3825-3842, 1994