Hierarchical adaptive modeling of structural sandwiches and multilayered composite panels

Abstract Some recent advances in the hierarchical modeling strategies are reviewed with special emphasis on applications to multilayered composite panels. Discussion focuses on the key elements of hierarchical adaptive modeling; multimodel predictor and corrector modeling procedures; potential for solving large complex problems; and the needed development to realize this potential. Numerical studies are presented for free vibrations of thermally-stressed multilayered composite panels and structural sandwiches with composite face sheets demonstrating the effectiveness of the multimodel predictor–corrector modeling approaches.

[1]  Stefanos Vlachoutsis,et al.  Shear correction factors for plates and shells , 1992 .

[2]  N. J. Pagano,et al.  Global-local laminate variational model , 1983 .

[3]  Ahmed K. Noor,et al.  Assessment of computational models for multilayered anisotropic plates , 1990 .

[4]  Ahmed K. Noor,et al.  Predictor-corrector procedures for stress and free vibration analysis of multilayered composite plates and shells , 1990 .

[5]  Itio Hirai,et al.  An exact zooming method , 1985 .

[6]  J. Fish.  The s-version of the finite element method , 1992 .

[7]  Ahmed K. Noor,et al.  Strategies for large scale structural problems on high‐performance computers , 1991 .

[8]  Fu-Kuo Chang,et al.  Analysis of Thick Laminated Composites , 1990 .

[9]  Karan S. Surana,et al.  Geometrically non-linear formulation for the three dimensional solid-shell transition finite elements , 1982 .

[10]  D. Thompson,et al.  2-D to 3-D global/local finite element analysis of cross-ply composite laminates , 1990 .

[11]  Klaus-Jürgen Bathe,et al.  A geometric and material nonlinear plate and shell element , 1980 .

[12]  Richard E. Ewing,et al.  A preconditioning technique for the efficient solution of problems with local grid refinement , 1988 .

[13]  S.N.B. Murthy,et al.  CFD - A User's Technology Assessment , 1986 .

[14]  R. J. Callinan,et al.  Analysis of multi-layer laminates using three-dimensional super-elements , 1984 .

[15]  Stanley B. Dong,et al.  Shear Constitutive Relations for Laminated Anisotropic Shells and Plates: Part II—Vibrations of Composite Cylinders , 1992 .

[16]  Ahmed K. Noor,et al.  Predictor-corrector procedures for thermal buckling analysis of multilayered composite plates , 1991 .

[17]  A.S.D. Wang,et al.  Calculation of Edge Stresses in Multi-Layer Laminates by Sub-Structuring , 1978 .

[18]  J. Z. Zhu,et al.  The superconvergent patch recovery and a posteriori error estimates. Part 2: Error estimates and adaptivity , 1992 .

[19]  J. Whitney,et al.  Shear Correction Factors for Orthotropic Laminates Under Static Load , 1973 .

[20]  S. McCormick,et al.  The fast adaptive composite grid (FAC) method for elliptic equation , 1986 .

[21]  T. Chow,et al.  On the Propagation of Flexural Waves in an Orthotropic Laminated Plate and Its Response to an Impulsive Load , 1971 .

[22]  C. Sun,et al.  A refined global‐local finite element analysis method , 1991 .

[23]  C. D. Mote.  Global‐local finite element , 1971 .

[24]  Karan S. Surana,et al.  Transition finite elements for three‐dimensional stress analysis , 1980 .

[25]  Stanley B. Dong,et al.  Shear Constitutive Relations for Laminated Anisotropic Shells and Plates: Part I—Methodology , 1992 .

[26]  Charles W. Bert,et al.  Simplified Analysis of Static Shear Factors for Beams of NonHomogeneous Cross Section , 1973 .

[27]  Ahmed K. Noor,et al.  Global-local methodologies and their application to nonlinear analysis , 1986 .

[28]  Norman F. Knight,et al.  Global/local methods research using a common structural analysis framework , 1991 .

[29]  J. Tinsley Oden,et al.  Reliability in computational mechanics , 1990 .

[30]  Jacob Fish,et al.  The s‐version of the finite element method for multilayer laminates , 1992 .

[31]  Ahmed K. Noor,et al.  Geometrically nonlinear analysis of layerwise anisotropic shell structures by hybrid strain based lower order elements , 1987 .

[32]  J. Z. Zhu,et al.  The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique , 1992 .

[33]  Stanley B. Dong,et al.  On a Laminated Orthotropic Shell Theory Including Transverse Shear Deformation , 1972 .

[34]  A. Noor,et al.  Assessment of Computational Models for Multilayered Composite Shells , 1990 .

[35]  Ahmed K. Noor,et al.  Steady-state heat conduction in multilayered composite plates and shells , 1991 .

[36]  C. Sun,et al.  Analysis of Thick Section Composite Laminates Using Effective Moduli , 1990 .

[37]  Ahmed K. Noor,et al.  Accuracy of critical-temperature sensitivity coefficients predicted by multilayered composite plate theories , 1992 .