Free vibration and buckling analysis of laminated composite plates using the NURBS-based isogeometric finite element method

[1]  S. Timoshenko Theory of Elastic Stability , 1936 .

[2]  N. Pagano,et al.  Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates , 1970 .

[3]  S. Srinivas,et al.  An exact analysis for vibration of simply-supported homogeneous and laminated thick rectangular plates , 1970 .

[4]  A. Rao,et al.  Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates , 1970 .

[5]  Arthur W. Leissa,et al.  The free vibration of rectangular plates , 1973 .

[6]  J. N. Reddy A review of the literature on finite-element modeling of laminated composite plates , 1985 .

[7]  J. Whitney Structural Analysis of Laminated Anisotropic Plates , 1987 .

[8]  N.G.R. Iyengar,et al.  Structural stability of columns and plates , 1988 .

[9]  K. M. Liew,et al.  Study on flexural vibration of triangular composite plates influenced by fibre orientation , 1989 .

[10]  Yoshihiro Narita,et al.  Vibration studies for simply supported symmetrically laminated rectangular plates , 1989 .

[11]  Leslie George Tham,et al.  Buckling analysis of arbitrarily shaped plates by spline finite strip method , 1990 .

[12]  Fan Jiarang,et al.  An exact solution for the statics and dynamics of laminated thick plates with orthotropic layers , 1990 .

[13]  Yoshihiro Narita,et al.  Buckling studies for simply supported symmetrically laminated rectangular plates , 1990 .

[14]  J. N. Reddy,et al.  Advances in the modeling of laminated plates , 1991 .

[15]  K. M. Liew,et al.  Transverse vibration of symmetrically laminated rectangular composite plates , 1992 .

[16]  Ozden O. Ochoa,et al.  Finite Element Analysis of Composite Laminates , 1992 .

[17]  M. K. Lim,et al.  Boundary beam characteristics orthonormal polynomials in energy approach for vibration of symmetric laminates. I: Classical boundary conditions , 1993 .

[18]  T. Belytschko,et al.  Element‐free Galerkin methods , 1994 .

[19]  K. M. Liew,et al.  Vibratory characteristics of general laminates. I: Symmetric trapezoids , 1995 .

[20]  Wing Kam Liu,et al.  Reproducing kernel particle methods , 1995 .

[21]  K. M. Liew,et al.  SOLVING THE VIBRATION OF THICK SYMMETRIC LAMINATES BY REISSNER/MINDLIN PLATE THEORY AND THEp-RITZ METHOD , 1996 .

[22]  Josef Hoschek,et al.  Fundamentals of computer aided geometric design , 1996 .

[23]  J. Reddy Mechanics of laminated composite plates and shells : theory and analysis , 1996 .

[24]  Paolo Venini,et al.  Free vibrations of uncertain composite plates via stochastic Rayleigh-Ritz approach , 1997 .

[25]  K. M. Liew,et al.  Vibration analysis of symmetrically laminated thick rectangular plates using the higher-order theory and p-Ritz method , 1997 .

[26]  S. Atluri,et al.  A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics , 1998 .

[27]  S. Vel,et al.  Analytical Solution for Rectangular Thick Laminated Plates Subjected to Arbitrary Boundary Conditions , 1999 .

[28]  Bending Analysis of Classical Symmetric Laminated Composite Plates by the Strip Element Method , 2000 .

[29]  K. Y. Lam,et al.  A strip element method for the transient analysis of symmetric laminated plates , 2001 .

[30]  F.-L. Liu,et al.  Differential quadrature element method for buckling analysis of rectangular Mindlin plates having discontinuities , 2001 .

[31]  Guirong Liu,et al.  A point interpolation method for two-dimensional solids , 2001 .

[32]  J. N. Reddy,et al.  Energy principles and variational methods in applied mechanics , 2002 .

[33]  Jae-Hoon Kang,et al.  Exact solutions for vibration and buckling of an SS-C-SS-C rectangular plate loaded by linearly varying in-plane stresses , 2002 .

[34]  Guirong Liu Mesh Free Methods: Moving Beyond the Finite Element Method , 2002 .

[35]  J. N. Reddy,et al.  BUCKLING OF SYMMETRICALLY LAMINATED COMPOSITE PLATES USING THE ELEMENT-FREE GALERKIN METHOD , 2002 .

[36]  E. Carrera Theories and Finite Elements for Multilayered Plates and Shells:A Unified compact formulation with numerical assessment and benchmarking , 2003 .

[37]  Guirong Liu,et al.  An element free Galerkin method for the free vibration analysis of composite laminates of complicated shape , 2003 .

[38]  K. M. Liew,et al.  Mesh‐free radial point interpolation method for the buckling analysis of Mindlin plates subjected to in‐plane point loads , 2004 .

[39]  Jae-Hoon Kang,et al.  Exact solutions for the free vibrations of rectangular plates having in-plane moments acting on two opposite simply supported edges , 2004 .

[40]  Maenghyo Cho,et al.  The application of geometrically exact shell elements to B-spline surfaces , 2004 .

[41]  C. Lim,et al.  Vibration of angle-ply laminated plates with twist by Rayleigh–Ritz procedure , 2004 .

[42]  Antonio Huerta,et al.  Imposing essential boundary conditions in mesh-free methods , 2004 .

[43]  K. Y. Dai,et al.  A mesh-free method for static and free vibration analysis of shear deformable laminated composite plates , 2004 .

[44]  M. Aliabadi,et al.  Buckling analysis of shear deformable plates by boundary element method , 2005 .

[45]  T. Hughes,et al.  Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement , 2005 .

[46]  Li Hua,et al.  Vibration analysis of generally laminated composite plates by the moving least squares differential quadrature method , 2005 .

[47]  Thomas J. R. Hughes,et al.  Patient-Specific Vascular NURBS Modeling for Isogeometric Analysis of Blood Flow , 2007, IMR.

[48]  Gregory E. Fasshauer,et al.  Computation of natural frequencies of shear deformable beams and plates by an RBF-pseudospectral method , 2006 .

[49]  T. Hughes,et al.  Isogeometric Fluid–structure Interaction Analysis with Applications to Arterial Blood Flow , 2006 .

[50]  Alessandro Reali,et al.  Isogeometric Analysis of Structural Vibrations , 2006 .

[51]  Alessandro Reali,et al.  Studies of Refinement and Continuity in Isogeometric Structural Analysis (Preprint) , 2007 .

[52]  Ömer Civalek,et al.  Free vibration and buckling analyses of composite plates with straight-sided quadrilateral domain based on DSC approach , 2007 .

[53]  A. S. Sarigül,et al.  Free vibration analysis of symmetrically laminated thin composite plates by using discrete singular convolution (DSC) approach: Algorithm and verification , 2008 .

[54]  T. Hughes,et al.  Isogeometric fluid-structure interaction: theory, algorithms, and computations , 2008 .

[55]  Chunhui Yang,et al.  Recent developments in finite element analysis for laminated composite plates , 2009 .

[56]  Yuri Bazilevs,et al.  The bending strip method for isogeometric analysis of Kirchhoff–Love shell structures comprised of multiple patches , 2010 .

[57]  Thomas J. R. Hughes,et al.  Isogeometric shell analysis: The Reissner-Mindlin shell , 2010 .

[58]  Erasmo Carrera,et al.  Importance of Higher Order Modes and Refined Theories in Free Vibration Analysis of Composite Plates , 2010 .

[59]  T. Belytschko,et al.  X‐FEM in isogeometric analysis for linear fracture mechanics , 2011 .

[60]  E. Carrera,et al.  Advanced variable kinematics Ritz and Galerkin formulations for accurate buckling and vibration analysis of anisotropic laminated composite plates , 2011 .

[61]  Tinh Quoc Bui,et al.  Buckling analysis of Reissner–Mindlin plates subjected to in-plane edge loads using a shear-locking-free and meshfree method , 2011 .

[62]  T. Q. Bui,et al.  An efficient meshfree method for vibration analysis of laminated composite plates , 2011 .

[63]  N. Valizadeh,et al.  Extended isogeometric analysis for simulation of stationary and propagating cracks , 2012 .