Role of material combination and new results of mechanical behavior for FG sandwich plates in thermal environment

Abstract Functionally graded materials often operate in high temperature environment, and have been extensively used in a variety of engineering applications including nuclear power plant and spacecraft. In this paper, we present new numerical results of mechanical behavior for functionally graded sandwich plates in high temperature. We investigate material combinations and stress distribution of sandwich plates with FGM faces. One interesting physical point is captured. It shows that not all sandwich FGM plates possess similar mechanical behavior and performance in high temperature. We address the importance of material combinations, which significantly affect the mechanical behavior of resulting sandwich plates. The transition point in the mechanical response is found, which only occurs to some particular material combinations. All numerical results are calculated by a finite element model with selective reduced numerical integration based on the first-order shear deformation theory. A parametric study is also carried out to demonstrate the impact of severe high temperature on the mechanical behavior of sandwich plates.

[1]  D. Kelly,et al.  Free and forced vibration analysis using improved third-order shear deformation theory for functionally graded plates under high temperature loading , 2013 .

[2]  T. Rabczuk,et al.  NURBS-based finite element analysis of functionally graded plates: Static bending, vibration, buckling and flutter , 2012, 1210.4676.

[3]  Mohammed Sid Ahmed Houari,et al.  A new four-variable refined plate theory for thermal buckling analysis of functionally graded sandwich plates , 2012 .

[4]  Shashank Pandey,et al.  Free vibration of functionally graded sandwich plates in thermal environment using a layerwise theory , 2015 .

[5]  Adda Bedia El Abbes,et al.  ANALYTICAL SOLUTION FOR BENDING ANALYSIS OF FUNCTIONALLY GRADED PLATES , 2013 .

[6]  B. K. Mishra,et al.  Numerical simulation of functionally graded cracked plates using NURBS based XIGA under different loads and boundary conditions , 2015 .

[7]  T. Q. Bui,et al.  A simple FSDT-based isogeometric analysis for geometrically nonlinear analysis of functionally graded plates , 2015 .

[8]  Hui-Shen Shen,et al.  Postbuckling of sandwich plates with FGM face sheets and temperature-dependent properties , 2008 .

[9]  A. Zenkour.  A comprehensive analysis of functionally graded sandwich plates: Part 2—Buckling and free vibration , 2005 .

[10]  Hui-Shen Shen,et al.  Nonlinear vibration and dynamic response of functionally graded plates in thermal environments , 2004 .

[11]  M. Talha,et al.  Bending analysis of functionally graded skew sandwich plates with through-the thickness displacement variations , 2014 .

[12]  Sohichi Hirose,et al.  Buckling failure analysis of cracked functionally graded plates by a stabilized discrete shear gap extended 3-node triangular plate element , 2015 .

[13]  B. K. Mishra,et al.  Fatigue crack growth simulations of interfacial cracks in bi-layered FGMs using XFEM , 2013 .

[14]  Jeong Whan Yoon,et al.  Enhanced assumed strain (EAS) and assumed natural strain (ANS) methods for one‐point quadrature solid‐shell elements , 2008 .

[15]  Erasmo Carrera,et al.  A Survey With Numerical Assessment of Classical and Refined Theories for the Analysis of Sandwich Plates , 2009 .

[16]  Hui‐Shen Shen,et al.  Nonlinear dynamic response of sandwich plates with FGM face sheets resting on elastic foundations in thermal environments , 2013 .

[17]  H. Nguyen-Xuan,et al.  Isogeometric analysis of functionally graded carbon nanotube-reinforced composite plates using higher-order shear deformation theory , 2015 .

[18]  S. Khalili,et al.  Free vibration analysis of sandwich plates with functionally graded face sheets and temperature-dependent material properties: A new approach , 2012 .

[19]  Hui‐Shen Shen,et al.  Vibration of post-buckled sandwich plates with FGM face sheets in a thermal environment , 2008 .

[20]  A. Zenkour.  Generalized shear deformation theory for bending analysis of functionally graded plates , 2006 .

[21]  T. Rabczuk,et al.  Extended isogeometric analysis for dynamic fracture in multiphase piezoelectric/piezomagnetic composites , 2016 .

[22]  Kazuyoshi Fushinobu,et al.  Hybrid phase field simulation of dynamic crack propagation in functionally graded glass-filled epoxy , 2016 .

[23]  A. Zenkour.  A COMPREHENSIVE ANALYSIS OF FUNCTIONALLY GRADED SANDWICH PLATES: PART 1—DEFLECTION AND STRESSES , 2005 .

[24]  E. Carrera,et al.  Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique , 2013 .

[25]  M. Sobhy,et al.  Thermal buckling of various types of FGM sandwich plates , 2010 .

[26]  J. N. Reddy,et al.  A Numerical Investigation on the Natural Frequencies of FGM Sandwich Shells with Variable Thickness by the Local Generalized Differential Quadrature Method , 2017 .

[27]  O. C. Zienkiewicz,et al.  Reduced integration technique in general analysis of plates and shells , 1971 .

[28]  Nuttawit Wattanasakulpong,et al.  Buckling isogeometric analysis of functionally graded plates under combined thermal and mechanical loads , 2017 .

[29]  T. Q. Bui,et al.  A quasi-3D hyperbolic shear deformation theory for functionally graded plates , 2014 .

[30]  Salvatore Brischetto,et al.  A general exact elastic shell solution for bending analysis of functionally graded structures , 2017 .

[31]  Medhat A. Haroun,et al.  Reduced and selective integration techniques in the finite element analysis of plates , 1978 .

[32]  Stéphane Bordas,et al.  Isogeometric locking-free plate element: A simple first order shear deformation theory for functionally graded plates , 2014 .

[33]  Tinh Quoc Bui,et al.  Dynamic analysis of sandwich beams with functionally graded core using a truly meshfree radial point interpolation method , 2013 .

[34]  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 .

[35]  Shifeng Xia,et al.  Size-dependent analysis of homogeneous and functionally graded microplates using IGA and a non-classical Kirchhoff plate theory , 2017 .

[36]  M. Ganapathi,et al.  Bending and vibration of functionally graded material sandwich plates using an accurate theory , 2012, 1203.2524.

[37]  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 .

[38]  T. Q. Bui,et al.  Nonlinear thermoelastic frequency analysis of functionally graded CNT-reinforced single/doubly curved shallow shell panels by FEM , 2017 .

[39]  Hui‐Shen Shen,et al.  Nonlinear analysis of sandwich plates with FGM face sheets resting on elastic foundations , 2011 .

[40]  Tinh Quoc Bui,et al.  Geometrically nonlinear analysis of functionally graded plates using isogeometric analysis , 2015 .

[41]  Thomas J. R. Hughes,et al.  A simple and efficient finite element for plate bending , 1977 .

[42]  Nicholas Fantuzzi,et al.  Stress and strain recovery for functionally graded free-form and doubly-curved sandwich shells using higher-order equivalent single layer theory , 2015 .

[43]  Erdogan Madenci,et al.  A triangular plate element for thermo‐elastic analysis of sandwich panels with a functionally graded core , 2006 .

[44]  Tinh Quoc Bui,et al.  On the thermal buckling analysis of functionally graded plates with internal defects using extended isogeometric analysis , 2016 .

[45]  J. Reddy.  Analysis of functionally graded plates , 2000 .