An Extended Cell-Based Smoothed Three-Node Mindlin Plate Element (XCS-MIN3) for Free Vibration Analysis of Cracked FGM Plates
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Timon Rabczuk | T. Vo-Duy | V. Ho-Huu | Trung Nguyen-Thoi | L. Le-Anh | H. Dang-Trung | T. Rabczuk | T. Nguyen-Thoi | H. Dang-Trung | V. Ho-Huu | L. Le-Anh | T. Vo-Duy
[1] Ted Belytschko,et al. Modeling fracture in Mindlin–Reissner plates with the extended finite element method , 2000 .
[2] Hui-Shen Shen,et al. Dynamic response of initially stressed functionally graded rectangular thin plates , 2001 .
[3] S. E. Khadem,et al. INTRODUCTION OF MODIFIED COMPARISON FUNCTIONS FOR VIBRATION ANALYSIS OF A RECTANGULAR CRACKED PLATE , 2000 .
[4] Guangyao Li,et al. An edge-based smoothed triangle element for non-linear explicit dynamic analysis of shells , 2011 .
[5] S. Lim,et al. Vibration of cracked rectangular plates including transverse shear deformation and rotary inertia , 1993 .
[6] H. Nguyen-Xuan,et al. An edge-based smoothed finite element method for visco-elastoplastic analyses of 2D solids using triangular mesh , 2009 .
[7] G. Y. Li,et al. A coupled smoothed finite element method (S-FEM) for structural-acoustic analysis of shells , 2015 .
[8] Ted Belytschko,et al. Arbitrary discontinuities in finite elements , 2001 .
[9] J. Reddy. Analysis of functionally graded plates , 2000 .
[10] G. R. Liu,et al. A cell-based smoothed finite element method using three-node shear-locking free Mindlin plate element (CS-FEM-MIN3) for dynamic response of laminated composite plates on viscoelastic foundation , 2014 .
[11] T. Rabczuk,et al. T-spline based XIGA for fracture analysis of orthotropic media , 2015 .
[12] Guirong Liu,et al. Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth , 2012 .
[13] Arthur W. Leissa,et al. Accurate vibration analysis of thick, cracked rectangular plates , 2011 .
[14] H. Nguyen-Xuan,et al. An extended isogeometric thin shell analysis based on Kirchhoff-Love theory , 2015 .
[15] P. Phung-Van,et al. A cell-based smoothed three-node Mindlin plate element (CS-MIN3) for static and free vibration analyses of plates , 2013 .
[16] K. Liew,et al. Active control of FGM plates with integrated piezoelectric sensors and actuators , 2001 .
[17] Jie Yang,et al. Nonlinear vibration of edge cracked functionally graded Timoshenko beams , 2009 .
[18] G. Y. Li,et al. NODAL INTEGRATION THIN PLATE FORMULATION USING LINEAR INTERPOLATION AND TRIANGULAR CELLS , 2011 .
[19] Guirong Liu,et al. A smoothed Hermite radial point interpolation method for thin plate analysis , 2011 .
[20] Hung Nguyen-Xuan,et al. A Phantom-Node Method with Edge-Based Strain Smoothing for Linear Elastic Fracture Mechanics , 2013, J. Appl. Math..
[21] G. Ventura. On the elimination of quadrature subcells for discontinuous functions in the eXtended Finite‐Element Method , 2006 .
[22] Timon Rabczuk,et al. Element-wise fracture algorithm based on rotation of edges , 2013 .
[23] O. G. McGee,et al. Vibrations of cracked rectangular FGM thick plates , 2011 .
[24] A rotation free formulation for static and free vibration analysis of thin beams using gradient smoothing technique , 2008 .
[25] Stéphane Bordas,et al. On the performance of strain smoothing for quadratic and enriched finite element approximations (XFEM/GFEM/PUFEM) , 2011 .
[26] Y. Shih,et al. Dynamic instability of rectangular plate with an edge crack , 2005 .
[27] Xiangyang Cui,et al. Bending and vibration responses of laminated composite plates using an edge-based smoothing technique , 2011 .
[28] Carlos Armando Duarte,et al. A Generalized Finite Element Method for polycrystals with discontinuous grain boundaries , 2006 .
[29] Ted Belytschko,et al. Elastic crack growth in finite elements with minimal remeshing , 1999 .
[30] Hung Nguyen-Xuan,et al. A cell-based smoothed discrete shear gap method (CS-DSG3) based on the C0-type higher-order shear deformation theory for static and free vibration analyses of functionally graded plates , 2013 .
[31] G. Y. Li,et al. Thermo-mechanical analysis of functionally graded cylindrical vessels using edge-based smoothed finite element method , 2013 .
[32] Guangyao Li,et al. A thin plate formulation without rotation DOFs based on the radial point interpolation method and triangular cells , 2011 .
[33] Hung Nguyen-Xuan,et al. An isogeometric finite element formulation for thermal buckling analysis of functionally graded plates , 2013 .
[34] Jiang Jie-sheng,et al. A finite element model of cracked plates and application to vibration problems , 1991 .
[35] K. Y. Dai,et al. A Smoothed Finite Element Method for Mechanics Problems , 2007 .
[36] Guirong Liu,et al. An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order , 2013 .
[37] I. Babuska,et al. Special finite element methods for a class of second order elliptic problems with rough coefficients , 1994 .
[38] Stéphane Bordas,et al. Strain smoothing in FEM and XFEM , 2010 .
[39] P Kerfriden,et al. Natural frequencies of cracked functionally graded material plates by the extended finite element method , 2011 .
[40] L. Keer,et al. Vibration and stability of cracked rectangular plates , 1972 .
[41] Guangyao Li,et al. Analysis of plates and shells using an edge-based smoothed finite element method , 2009 .
[42] C.M.C. Roque,et al. Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method , 2005 .
[43] Guirong Liu,et al. A face-based smoothed finite element method (FS-FEM) for visco-elastoplastic analyses of 3D solids using tetrahedral mesh , 2009 .
[44] Xiangyang Cui,et al. A Smoothed Finite Element Method (SFEM) for Linear and Geometrically Nonlinear Analysis of Plates and Shells , 2008 .
[45] Timon Rabczuk,et al. Finite strain fracture of plates and shells with configurational forces and edge rotations , 2013 .
[46] Charles E. Augarde,et al. Fracture modeling using meshless methods and level sets in 3D: Framework and modeling , 2012 .
[47] T. Rabczuk,et al. A meshfree thin shell method for non‐linear dynamic fracture , 2007 .
[48] Roman Solecki,et al. Bending vibration of a rectangular plate with arbitrarily located rectilinear crack , 1985 .
[49] O. G. McGee,et al. Three-dimensional vibrations of cracked rectangular parallelepipeds of functionally graded material , 2013 .
[50] Phill-Seung Lee,et al. Phantom-node method for shell models with arbitrary cracks , 2012 .
[51] S. Vel,et al. Three-dimensional exact solution for the vibration of functionally graded rectangular plates , 2004 .
[52] I. Babuska,et al. The Partition of Unity Method , 1997 .
[53] Guirong Liu,et al. A face‐based smoothed finite element method (FS‐FEM) for 3D linear and geometrically non‐linear solid mechanics problems using 4‐node tetrahedral elements , 2009 .
[54] T. Hughes,et al. A three-node mindlin plate element with improved transverse shear , 1985 .
[55] Timon Rabczuk,et al. Initially rigid cohesive laws and fracture based on edge rotations , 2013 .
[56] A. Leissa,et al. Vibrations of rectangular plates with internal cracks or slits , 2011 .
[57] M. K. Lim,et al. A solution method for analysis of cracked plates under vibration , 1994 .
[58] G. Y. Li,et al. ANALYSIS OF MINDLIN–REISSNER PLATES USING CELL-BASED SMOOTHED RADIAL POINT INTERPOLATION METHOD , 2010 .
[59] Timon Rabczuk,et al. Finite strain fracture of 2D problems with injected anisotropic softening elements , 2014 .
[60] Ivo Babuška,et al. Generalized finite element method for second-order elliptic operators with Dirichlet boundary conditions , 2008 .
[61] Renato Natal Jorge,et al. Natural frequencies of functionally graded plates by a meshless method , 2006 .
[62] Hung Nguyen-Xuan,et al. A cell-based smoothed discrete shear gap method (CS-DSG3) using triangular elements for static and free vibration analyses of shell structures , 2013 .
[63] Guirong Liu,et al. A node-based smoothed finite element method (NS-FEM) for upper bound solutions to solid mechanics problems , 2009 .