Hierarchical adaptive modeling of structural sandwiches and multilayered composite panels

Abstract Some recent advances in 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-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]  C. Sun,et al.  Analysis of Thick Section Composite Laminates Using Effective Moduli , 1990 .

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

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

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

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

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

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

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

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

[10]  Joseph E. Flaherty,et al.  Adaptive Methods for Partial Differential Equations , 1989 .

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

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

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

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

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

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

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

[18]  J. N. Reddy,et al.  Global/local analysis of laminated composite plates using variable kinematic finite elements , 1992 .

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

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

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

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

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

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

[25]  John D. Whitcomb,et al.  Global/local finite element analysis of geometrically nonlinear structures , 1992 .

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

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

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

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

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

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

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

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

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

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

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

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

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

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