A posteriori stress and strain recovery procedure for the static analysis of laminated shells resting on nonlinear elastic foundation

[1]  Raffaele Barretta,et al.  Application of gradient elasticity to armchair carbon nanotubes: Size effects and constitutive parameters assessment , 2017 .

[2]  R. Luciano,et al.  Free vibrations of Bernoulli-Euler nano-beams by the stress-driven nonlocal integral model , 2017 .

[3]  Ankit K. Gupta,et al.  Nonlinear flexural and vibration response of geometrically imperfect gradient plates using hyperbolic higher-order shear and normal deformation theory , 2017 .

[4]  Jun-Sik Kim,et al.  Generalization of the C0-type zigzag theory for accurate thermomechanical analysis of laminated composites , 2017 .

[5]  Ö. Civalek.  Vibration of laminated composite panels and curved plates with different types of FGM composite constituent , 2017 .

[6]  A. Sofiyev,et al.  The free vibration of sandwich truncated conical shells containing functionally graded layers within the shear deformation theory , 2017 .

[7]  A. Sofiyev,et al.  The nonlinear vibration of orthotropic functionally graded cylindrical shells surrounded by an elastic foundation within first order shear deformation theory , 2017 .

[8]  Jun-Sik Kim,et al.  New enhanced first-order shear deformation theory for thermo-mechanical analysis of laminated composite and sandwich plates , 2017 .

[9]  F. Tornabene,et al.  Linear static response of nanocomposite plates and shells reinforced by agglomerated carbon nanotubes , 2017 .

[10]  S. Shojaee,et al.  Free vibration and buckling analysis of cross-ply laminated composite plates using Carrera's unified formulation based on Isogeometric approach , 2017 .

[11]  R. Dimitri,et al.  Free vibration analysis of arbitrarily shaped Functionally Graded Carbon Nanotube-reinforced plates , 2017 .

[12]  Ö. Civalek.  Free vibration of carbon nanotubes reinforced (CNTR) and functionally graded shells and plates based on FSDT via discrete singular convolution method , 2017 .

[13]  Erasmo Carrera,et al.  Shell elements with through-the-thickness variable kinematics for the analysis of laminated composite and sandwich structures , 2017 .

[14]  Yufeng Xing,et al.  Analysis of viscoelastic sandwich laminates using a unified formulation and a differential quadrature hierarchical finite element method , 2017 .

[15]  R. Ansari,et al.  Buckling and vibration analysis of embedded functionally graded carbon nanotube-reinforced composite annular sector plates under thermal loading , 2017 .

[16]  Mohammad Talha,et al.  An assessment of a non-polynomial based higher order shear and normal deformation theory for vibration response of gradient plates with initial geometric imperfections , 2016 .

[17]  M. Shojaeefard,et al.  Nonlinear low-velocity impact response of functionally graded plate with nonlinear three-parameter elastic foundation in thermal field , 2016 .

[18]  L. Feo,et al.  A Note on Torsion of Nonlocal Composite Nanobeams , 2016 .

[19]  Xuejun Zheng,et al.  In-plane material inhomogeneity of functionally graded plates: A higher-order shear deformation plate isogeometric analysis , 2016 .

[20]  L. Feo,et al.  On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials , 2016 .

[21]  Nicholas Fantuzzi,et al.  On the mechanics of laminated doubly-curved shells subjected to point and line loads , 2016 .

[22]  Moshe Eisenberger,et al.  Vibration analysis of variable thickness plates and shells by the Generalized Differential Quadrature method , 2016 .

[23]  Nicholas Fantuzzi,et al.  Innovative numerical methods based on SFEM and IGA for computing stress concentrations in isotropic plates with discontinuities , 2016 .

[24]  Lorenzo Dozio,et al.  Bending analysis of composite laminated and sandwich structures using sublaminate variable-kinematic Ritz models , 2016 .

[25]  A. Deniz,et al.  Winkler-Pasternak foundation effect on the frequency parameter of FGM truncated conical shells in the framework of shear deformation theory , 2016 .

[26]  Nicholas Fantuzzi,et al.  The GDQ method for the free vibration analysis of arbitrarily shaped laminated composite shells using a NURBS-based isogeometric approach , 2016 .

[27]  R. Luciano,et al.  Functionally graded Timoshenko nanobeams: A novel nonlocal gradient formulation , 2016 .

[28]  A. Ferreira,et al.  MLSDQ based on RBFs for the free vibrations of laminated composite doubly-curved shells , 2016 .

[29]  S. K. Sahu,et al.  Vibration of composite cylindrical shallow shells subjected to hygrothermal loading-experimental and numerical results , 2016 .

[30]  L. Dozio.  A hierarchical formulation of the state-space Levy's method for vibration analysis of thin and thick multilayered shells , 2016 .

[31]  Erasmo Viola,et al.  Transient dynamic response of generally-shaped arches based on a GDQ-time-stepping method , 2016 .

[32]  Salvatore Brischetto,et al.  Convergence analysis of the exponential matrix method for the solution of 3D equilibrium equations for free vibration analysis of plates and shells , 2016 .

[33]  Nicholas Fantuzzi,et al.  Strong Formulation Isogeometric Analysis (SFIGA) for laminated composite arbitrarily shaped plates , 2016 .

[34]  S. Akavci.  Mechanical behavior of functionally graded sandwich plates on elastic foundation , 2016 .

[35]  Nicholas Fantuzzi,et al.  A SFEM-based evaluation of mode-I Stress Intensity Factor in composite structures , 2016 .

[36]  Ömer Civalek,et al.  Determination of critical buckling loads of isotropic, FGM and laminated truncated conical panel , 2016 .

[37]  Y. Beni,et al.  Size-dependent torsional buckling analysis of functionally graded cylindrical shell , 2016 .

[38]  R. Das,et al.  Analytical solutions for elastic deformation of functionally graded thick plates with in-plane stiffness variation using higher order shear deformation theory , 2016 .

[39]  E. Viola,et al.  Laminated Composite Doubly-Curved Shell Structures. Differential Geometry Higher-Order Structural Theories , 2016 .

[40]  M. D'Ottavio,et al.  A Sublaminate Generalized Unified Formulation for the analysis of composite structures , 2016 .

[41]  Lorenzo Dozio,et al.  A variable-kinematic model for variable stiffness plates: Vibration and buckling analysis , 2016 .

[42]  F. Tornabene,et al.  The local GDQ method for the natural frequencies of doubly-curved shells with variable thickness: A general formulation , 2016 .

[43]  E. Viola,et al.  Laminated Composite Doubly-Curved Shell Structures. Differential and Integral Quadrature Strong Formulation Finite Element Method , 2016 .

[44]  F. Tornabene,et al.  Higher-order structural theories for the static analysis of doubly-curved laminated composite panels reinforced by curvilinear fibers , 2016 .

[45]  Duc Hong Doan,et al.  On the high temperature mechanical behaviors analysis of heated functionally graded plates using FEM and a new third-order shear deformation plate theory , 2016 .

[46]  Luciano Feo,et al.  An Eringen-like model for Timoshenko nanobeams , 2016 .

[47]  Nicholas Fantuzzi,et al.  Effect of agglomeration on the natural frequencies of functionally graded carbon nanotube-reinforced laminated composite doubly-curved shells , 2016 .

[48]  Miao Xuhong,et al.  A unified solution for the vibration analysis of FGM doubly-curved shells of revolution with arbitrary boundary conditions , 2016 .

[49]  F. Fazzolari.  Reissner's Mixed Variational Theorem and variable kinematics in the modelling of laminated composite and FGM doubly-curved shells , 2016 .

[50]  Olivier Polit,et al.  Assessment of free-edge singularities in composite laminates using higher-order plate elements , 2016 .

[51]  Fiorenzo A. Fazzolari,et al.  Stability analysis of FGM sandwich plates by using variable-kinematics Ritz models , 2016 .

[52]  Francesco Tornabene,et al.  General higher-order layer-wise theory for free vibrations of doubly-curved laminated composite shells and panels , 2016 .

[53]  M. Shariati,et al.  Geometrically non-linear bending analysis of thick two-directional functionally graded annular sector and rectangular plates with variable thickness resting on non-linear elastic foundation , 2016 .

[54]  Salvatore Brischetto,et al.  3D exact and 2D generalized differential quadrature models for free vibration analysis of functionally graded plates and cylinders , 2016 .

[55]  R. Dimitri,et al.  Free vibrations of composite oval and elliptic cylinders by the generalized differential quadrature method , 2015 .

[56]  Nicholas Fantuzzi,et al.  Dynamic analysis of thick and thin elliptic shell structures made of laminated composite materials , 2015 .

[57]  R. Luciano,et al.  On torsion of random composite beams , 2015 .

[58]  Nicholas Fantuzzi,et al.  Higher-order theories for the free vibrations of doubly-curved laminated panels with curvilinear reinforcing fibers by means of a local version of the GDQ method , 2015 .

[59]  Zhibo Yang,et al.  Analysis of laminated composite plates using wavelet finite element method and higher-order plate theory , 2015 .

[60]  A. Sofiyev.  On the vibration and stability of shear deformable FGM truncated conical shells subjected to an axial load , 2015 .

[61]  G. Shi,et al.  A refined laminated plate theory accounting for the third-order shear deformation and interlaminar transverse stress continuity , 2015 .

[62]  Hui Zheng,et al.  Free vibration of four-parameter functionally graded spherical and parabolic shells of revolution with arbitrary boundary conditions , 2015 .

[63]  H. Kurtaran.  Geometrically nonlinear transient analysis of moderately thick laminated composite shallow shells with generalized differential quadrature method , 2015 .

[64]  R. Luciano,et al.  Analogies between Kirchhoff plates and functionally graded Saint-Venant beams under torsion , 2015 .

[65]  Hao-Miao Zhou,et al.  Mechanical and thermal post-buckling analysis of FGM rectangular plates with various supported boundaries resting on nonlinear elastic foundations , 2015 .

[66]  Francesco Ubertini,et al.  Strong Formulation Finite Element Method Based on Differential Quadrature: A Survey , 2015 .

[67]  Nicholas Fantuzzi,et al.  Free vibrations of free-form doubly-curved shells made of functionally graded materials using higher-order equivalent single layer theories , 2014 .

[68]  R. Luciano,et al.  Exact solutions of isotropic viscoelastic functionally graded Kirchhoff plates , 2014 .

[69]  Olivier Polit,et al.  Assessment of the refined sinus plate finite element , 2014 .

[70]  Rosalin Sahoo,et al.  A new trigonometric zigzag theory for buckling and free vibration analysis of laminated composite and sandwich plates , 2014 .

[71]  J. Reddy,et al.  Nonlinear thermal stability and vibration of pre/post-buckled temperature- and microstructure-dependent functionally graded beams resting on elastic foundation , 2014 .

[72]  O. Anwar Bég,et al.  An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates , 2014 .

[73]  Mohammad Mohammadi Aghdam,et al.  Large amplitude vibration and post-buckling analysis of variable cross-section composite beams on nonlinear elastic foundation , 2014 .

[74]  J. N. Reddy,et al.  Winkler–Pasternak foundation effect on the static and dynamic analyses of laminated doubly-curved and degenerate shells and panels , 2014 .

[75]  J. R. Banerjee,et al.  Layer-wise dynamic stiffness solution for free vibration analysis of laminated composite plates , 2014 .

[76]  J. N. Reddy,et al.  FGM and Laminated Doubly-Curved and Degenerate Shells Resting on Nonlinear Elastic Foundations: A GDQ Solution for Static Analysis with a Posteriori Stress and Strain Recovery , 2013 .

[77]  C. Soares,et al.  Generalized layerwise HSDT and finite element formulation for symmetric laminated and sandwich composite plates , 2013 .

[78]  E. Viola,et al.  General higher-order equivalent single layer theory for free vibrations of doubly-curved laminated composite shells and panels , 2013 .

[79]  Ömer Civalek,et al.  Nonlinear dynamic response of laminated plates resting on nonlinear elastic foundations by the discrete singular convolution-differential quadrature coupled approaches , 2013 .

[80]  Huu-Tai Thai,et al.  A refined shear deformation theory for free vibration of functionally graded plates on elastic foundation , 2012 .

[81]  M. M. Aghdam,et al.  Thermo-mechanical buckling and nonlinear free vibration analysis of functionally graded beams on nonlinear elastic foundation , 2012 .

[82]  C. Soares,et al.  A new trigonometric layerwise shear deformation theory for the finite element analysis of laminated composite and sandwich plates , 2012 .

[83]  N. Kuruoglu,et al.  Natural frequency of laminated orthotropic shells with different boundary conditions and resting on the Pasternak type elastic foundation , 2011 .

[84]  M. M. Aghdam,et al.  Nonlinear free vibration and post-buckling analysis of functionally graded beams on nonlinear elastic foundation , 2011 .

[85]  Abdullah H. Sofiyev,et al.  Buckling analysis of FGM circular shells under combined loads and resting on the Pasternak type elastic foundation , 2010 .

[86]  Mohammad Reza Forouzan,et al.  Large deflection analysis of thermo-mechanical loaded annular FGM plates on nonlinear elastic foundation via DQM , 2010 .

[87]  Marco Amabili,et al.  A new non-linear higher-order shear deformation theory for large-amplitude vibrations of laminated doubly curved shells , 2010 .

[88]  Chao Zhang,et al.  A three-parameter elastic foundation model for interface stresses in curved beams externally strengthened by a thin FRP plate , 2010 .

[89]  Luciano Demasi,et al.  ∞3 Hierarchy plate theories for thick and thin composite plates: The generalized unified formulation , 2008 .

[90]  Akbar Alibeigloo,et al.  FREE VIBRATION ANALYSIS OF ANTISYMMETRIC LAMINATED RECTANGULAR PLATES WITH DISTRIBUTED PATCH MASS USING THIRD-ORDER SHEAR DEFORMATION THEORY , 2008 .

[91]  P. Lugovoi,et al.  Solution of axisymmetric dynamic problems for cylindrical shells on an elastic foundation , 2007 .

[92]  A. R. Setoodeh,et al.  Large deformation analysis of moderately thick laminated plates on nonlinear elastic foundations by DQM , 2007 .

[93]  M. Farid,et al.  A DQ large deformation analysis of composite plates on nonlinear elastic foundations , 2007 .

[94]  Ö. Civalek.  Geometrically nonlinear dynamic analysis of doubly curved isotropic shells resting on elastic foundation by a combination of harmonic differential quadrature-finite difference methods , 2005 .

[95]  Qiusheng Li,et al.  Postbuckling of shear deformable laminated plates resting on a tensionless elastic foundation subjected to mechanical or thermal loading , 2004 .

[96]  E. Carrera.  On the use of the Murakami's zig-zag function in the modeling of layered plates and shells , 2004 .

[97]  E. Carrera.  Historical review of Zig-Zag theories for multilayered plates and shells , 2003 .

[98]  E. Carrera.  Theories and finite elements for multilayered, anisotropic, composite plates and shells , 2002 .

[99]  C. Shu.  Differential Quadrature and Its Application in Engineering , 2000 .

[100]  Surkay D. Akbarov,et al.  On the bending problems of anisotropic (orthotropic) plates resting on elastic foundations that react in compression only , 1997 .

[101]  S. Diao,et al.  Nonlinear analysis of thick plates on an elastic foundation by HT FE with p-extension capabilities , 1996 .

[102]  J. N. Reddy,et al.  Modelling of thick composites using a layerwise laminate theory , 1993 .

[103]  J. N. Reddy,et al.  On refined theories of composite laminates , 1990 .

[104]  J. N. Reddy,et al.  A generalization of two-dimensional theories of laminated composite plates† , 1987 .

[105]  J. Reddy.  A Simple Higher-Order Theory for Laminated Composite Plates , 1984 .

[106]  Y. K. Cheung,et al.  Plates and tanks on elastic foundations—an application of finite element method , 1965 .

[107]  S. Brischetto.  Exponential matrix method for the solution of exact 3D equilibrium equations for free vibrations of functionally graded plates and shells , 2019 .

[108]  Abdullah H. Sofiyev,et al.  Non-linear vibration of composite orthotropic cylindrical shells on the non-linear elastic foundations within the shear deformation theory , 2017 .

[109]  R. Luciano,et al.  A closed-form model for torsion of nanobeams with an enhanced nonlocal formulation , 2017 .

[110]  M. Mohammadimehr,et al.  High-order buckling and free vibration analysis of two types sandwich beam including AL or PVC-foam flexible core and CNTs reinforced nanocomposite face sheets using GDQM , 2017 .

[111]  F. Tornabene,et al.  Boundary Conditions in 2D Numerical and 3D Exact Models for Cylindrical Bending Analysis of Functionally Graded Structures , 2016 .

[112]  M. Lippiello,et al.  Nonlocal frequency analysis of embedded single-walled carbon nanotube using the Differential Quadrature Method , 2016 .

[113]  A. Sofiyev.  Buckling of heterogeneous orthotropic composite conical shells under external pressures within the shear deformation theory , 2016 .

[114]  R. Luciano,et al.  Some analytical solutions of functionally graded Kirchhoff plates , 2015 .

[115]  M. Shariyat,et al.  Three-dimensional non-linear elasticity-based 3D cubic B-spline finite element shear buckling analysis of rectangular orthotropic FGM plates surrounded by elastic foundations , 2014 .

[116]  Da-Guang Zhang.  Nonlinear bending analysis of FGM rectangular plates with various supported boundaries resting on two-parameter elastic foundations , 2014 .

[117]  Ioannis Avramidis,et al.  Bending of beams on three-parameter elastic foundation , 2006 .

[118]  John T. Katsikadelis,et al.  Large deflection analysis of plates on elastic foundation by the boundary element method , 1991 .

[119]  Liviu Librescu,et al.  A few remarks concerning several refined theories of anisotropic composite laminated plates , 1989 .

[120]  G. Bezine,et al.  A new boundary element method for bending of plates on elastic foundations , 1988 .

[121]  J. N. Reddy,et al.  A higher-order shear deformation theory of laminated elastic shells , 1985 .

[122]  Charles W. Bert,et al.  A critical evaluation of new plate theories applied to laminated composites , 1984 .