Coupled Thermo-Electro-Mechanical Analysis of Smart Plates Embedding Composite and Piezoelectric Layers

REFERENCES

• E. Carrera , S. Brischetto , and P. Nali , Variational Statements and Computational Models for Multifiled Problems and Multilayered Structures , Mech. Advan. Mat. Struct. , vol. 15 , pp. 182 – 198 , 2008 .
   Web of Science ®Google Scholar
• E. Carrera , S. Brischetto , and P. Nali , Plates and Shells for Smart Structures: Classical and Advanced Theories for Modeling and Analysis , John Wiley & Sons Ltd , New Delhi , 2011 .
   Google Scholar
• S. Brischetto , and E. Carrera , Coupled Thermo-Mechanical Analysis of One-Layered and Multilayered Plates , Compos. Struct. , vol. 92 , pp. 1793 – 1812 , 2010 .
   Web of Science ®Google Scholar
• J. L. Nowinski , Theory of Thermoelasticity with Applications , Sijthoff & Noordhoff , The Netherlands , 1978 .
   Google Scholar
• E. Carrera , S. Brischetto , and M. Cinefra , Variable Kinematics and Advanced Variational Statements for Free Vibrations Analysis of Piezoelectric Plates and Shells , Comput. Mod. Eng. Sci. , vol. 65 , pp. 259 – 342 , 2010 .
   Web of Science ®Google Scholar
• E. Carrera and S. Brischetto , Piezoelectric Shell Theories with “A Priori” Continuous Transverse Electro-Mechanical Variables , J. Mech. Mat. Struct. , vol. 2 , pp. 377 – 399 , 2007 .
   Web of Science ®Google Scholar
• G. A. Altay and M. C. Dökmeci , Fundamental Variational Equations of Discontinuous Thermopiezoelectric Fields , Int. J. Eng. Sci. , vol. 34 , pp. 769 – 782 , 1996 .
   Web of Science ®Google Scholar
• G. A. Altay and M. C. Dökmeci , Some Variational Principles for Linear Coupled Thermoelasticity , Int. J. Solids Struct. , vol. 33 , pp. 3937 – 3948 , 1996 .
   Web of Science ®Google Scholar
• A. A. Cannarozzi and F. Ubertini , A Mixed Variational Method for Linear Coupled Thermoelastic Analyis , Int. J. Solids Struct. , vol. 38 , pp. 717 – 739 , 2001 .
   Web of Science ®Google Scholar
• G. Kirchhoff , Über Das Dleichgewicht und Die Bewegung Einer Elastishen Scheibe , J. Reine Angew. Math , vol. 40 , pp. 51 – 88 , 1850 .
   Google Scholar
• E. Reissner , The Effect of Transverse Shear Deformation on the Bending of Elastic Plates , J. Appl. Mech.-T. ASME , vol. 12 , pp. 69 – 77 , 1945 .
   Web of Science ®Google Scholar
• R. D. Mindlin , Influence of Rotatory Inertia and Shear in Flexural Motions of Isotropic Elastic Plates, J. Appl. Mech.-T. ASME , vol. 18, pp. 31–38, 1951.
   Web of Science ®Google Scholar
• W. Q. Chen , K. Y. Lee , and H. J. Ding , General Solution for Transversely Isotropic Magneto-Electro-Thermo-Elasticity and the Potential Theory Method , Int. J. Eng. Sci. , vol. 42 , pp. 1361 – 1379 , 2004 .
   Web of Science ®Google Scholar
• L. D. Pérez-Fernández , J. Bravo-Castillero , R. Rodríguez-Ramos , and F.J. Sabina , On the Constitutive Relations and Energy Potentials of Linear Thermo-Magneto-Electro-Elasticity , Mech. Res. Commun. , vol. 36 , pp. 343 – 350 , 2009 .
   Web of Science ®Google Scholar
• Y.-H. Liu and H.-M. Zhang , Variation Principle of Piezothermoelastic Bodies, Canonical Equation and Homogeneous Equation , Appl. Math. Mech. , vol. 28 , pp. 193 – 200 , 2007 .
   Web of Science ®Google Scholar
• S.-J. Kim , A Constitutive Model for Thermo-Electro-Mechanical Behavior of Ferroelectric Polycrystals Near Room Temperature , Int. J. Solids Struct. , vol. 48 , pp. 1318 – 1329 , 2011 .
   Web of Science ®Google Scholar
• A. Kumar and D. Chakraborty , Effective Properties of Thermo-Electro-Mechanically Coupled Piezoelectric Fiber Reinforced Composites , Mater. Design , vol. 30 , pp. 1216 – 1222 , 2009 .
   Web of Science ®Google Scholar
• M. Sakthivel and A. Arockiarajan , An Analytical Model for Predicting Thermo-Electro-Mechanical Response of 1-3 Piezoelectric Composites , Comp. Mater. Sci. , vol. 48 , pp. 759 – 767 , 2010 .
   Web of Science ®Google Scholar
• M. Sakthivel and A. Arockiarajan , Thermo-Electro-Mechanical Response of 1-3-2 Type Piezoelectric Composites , Smart Mater. Struct. , vol. 19 , pp. 1 – 12 , 2010 .
   Web of Science ®Google Scholar
• Q.-S. Yang , Q.-H. Qin , L.-H. Ma , X.-Z. Lu , and C.-Q. Cui , A Theoretical Model and Finite Element Formulation for Coupled Thermo-Electro-Chemo-Mechanical Media , Mech. Mater. , vol. 42 , pp. 148 – 156 , 2010 .
   Web of Science ®Google Scholar
• Y. T. Zhou and K. Y. Lee , Thermo-Electro-Mechanical Contact Behavior of a Finite Piezoelectric Layer Under a Sliding Punch with Frictional Heat Generation , J. Mech. Phys. Solids , vol. 59 , pp. 1037 – 1061 , 2011 .
   Web of Science ®Google Scholar
• G. P. Dube , S. Kapuria , and P. C. Dumir , Exact Piezothermoleastic Solution of Simply-Supported Orthotropic Flat Panel in Cylindrical Bending , Int. J. Mech. Sci. , vol. 38 , pp. 1161 – 1177 , 1996 .
   Web of Science ®Google Scholar
• C. Zhang , Y. K. Cheung , S. Di , and N. Zhang , The Exact Solution of Coupled Thermoelectroelastic Behavior of Piezoelectric Laminates , Comput. Struct. , vol. 80 , pp. 1201 – 1212 , 2002 .
   Web of Science ®Google Scholar
• C. Zhang , S. Di , and N. Zhang , A New Procedure for Static Analysis of Thermo-Electric Laminated Composite Plates Under Cylindrical Bending , Compos. Struct. , vol. 56 , pp. 131 – 140 , 2002 .
   Web of Science ®Google Scholar
• S. Kapuria and P. G. Nair , Exact Three-Dimensional Piezothermoelasticity Solution for Dynamics of Rectangular Cross-Ply Hybrid Plates Featuring Interlaminar Bonding Imperfections , Compos. Sci. Technol. , vol. 70 , pp. 752 – 762 , 2010 .
   Web of Science ®Google Scholar
• K. Xu , A. K. Noor , and Y. Y. Tang , Three-Dimensional Solutions for Coupled Thermoelectroelastic Response of Multilayered Plates , Comput. Method. Appl. M. , vol. 126 , pp. 355 – 371 , 1995 .
   Web of Science ®Google Scholar
• M. Cho and J. Oh , Higher Order Zig-Zag Theory for Fully Coupled Thermo-Electric-Mechanical Smart Composite Plates , Int. J. Solids Struct. , vol. 41 , pp. 1331 – 1356 , 2004 .
   Web of Science ®Google Scholar
• M. Krommer , On the Influence of Pyroelectricity Upon Thermally Induced Vibrations of Piezothermoelastic Plates , Acta Mech. , vol. 171 , pp. 59 – 73 , 2004 .
   Web of Science ®Google Scholar
• J. Oh , M. Cho , and J.-S. Kim , Enhanced Lower-Order Shear Deformation Theory for Fully Coupled Electro-Thermomechanical Smart Laminated Plates , Smart Mater. Struct. , vol. 16 , pp. 2229 – 2241 , 2007 .
   Web of Science ®Google Scholar
• S. S. Vel , Analytical Solutions for the Deformation of Anisotropic Elastic and Piezothermoelastic Laminated Plates, Ph.D. Dissertation, Virginia Polytechnic Institute and State University, Blacksburg, Virginia (USA), 1998.
   Google Scholar
• H. J. Xiang and Z. F. Shi , Static Analysis for Functionally Graded Piezoelectric Actuators or Sensors Under a Combined Electro-Thermal Load , Eur. J. Mech. A-SOLID , vol. 28 , pp. 338 – 346 , 2009 .
   Web of Science ®Google Scholar
• S. Kapuria , A. Ahmed , and P. C. Dumir , Static and Dynamic Thermo-Electro-Mechanical Analysis of Angle-Ply Hybrid Piezoelectric Beams Using an Efficient Coupled Zigzag Theory , Compos. Sci. Technol. , vol. 64 , pp. 2463 – 2475 , 2004 .
   Web of Science ®Google Scholar
• K. M. Liew , J. Z. Zhang , C. Li , and S. A. Meguid , Three-Dimensional Analysis of the Coupled Thermo-Piezoelectro-Mechanical Behaviour of Multilayered Plates Using the Differential Quadrature Technique , Int. J. Solids Struct. , vol. 42 , pp. 4239 – 4257 , 2005 .
   Web of Science ®Google Scholar
• H.-S. Shen , Nonlinear Bending Analysis of Unsymmetric Cross-Ply Laminated Plates with Piezoelectric Actuators in Thermal Environments , Compos. Struct. , vol. 63 , pp. 167 – 177 , 2004 .
   Web of Science ®Google Scholar
• J. Yang , S. Kitipornchai , and K. M. Liew , Large Amplitude Vibration of Thermo-Electro-Mechanically Stressed FGM Laminated Plates , Comput. Method. Appl. , vol. 192 , pp. 3861 – 3885 , 2003 .
   Web of Science ®Google Scholar
• J. Yang and H. J. Xiang , Thermo-Electro-Mechanical Characteristics of Functionally Graded Piezoelectric Actuators , Smart Mater. Struct. , vol. 16 , pp. 784 – 797 , 2007 .
   Web of Science ®Google Scholar
• F. Côté , P. Masson , N. Mrad , and V. Cotoni , Dynamic and Static Modelling of Piezoelectric Composite Structures Using a Thermal Analogy with MSC/NASTRAN , Compos. Struct. , vol. 65 , pp. 471 – 484 , 2004 .
   Web of Science ®Google Scholar
• G. Giannopoulos and J. Vantomme , A Thermal-Electrical-Mechanical Coupled FE Formulation Using Discrete Layer Kinematics for the Dynamic Analysis of Smart Plates , Smart Mater. Struct. , vol. 15 , pp. 1846 – 1857 , 2006 .
   Web of Science ®Google Scholar
• H. Gu , A. Chattopadhyay , J. Li , and X. Zhou , A Higher Order Temperature Theory for Coupled Thermo-Piezoelectric-Mechanical Modeling of Smart Composites , Int. J. Solids Struct. , vol. 37 , pp. 6479 – 6497 , 2000 .
   Web of Science ®Google Scholar
• H.-J. Lee and D. A. Saravanos , Generalized Finite Element Formulation for Smart Multilayered Thermal Piezoelectric Composite Plates , Int. J. Solids Struct. , vol. 34 , pp. 3355 – 3371 , 1997 .
   Web of Science ®Google Scholar
• J. Oh and M. Cho , A Finite Element Based on Cubic Zig-Zag Plate Theory for the Prediction of Thermo-Electric-Mechanical Behaviors , Int. J. Solids Struct. , vol. 41 , pp. 1357 – 1375 , 2004 .
   Web of Science ®Google Scholar
• K. D. Jonnalagadda , G. E. Blandford , and T. R. Tauchert , Piezothermoelastic Composite Plate Analysis Using First-Order Shear Deformation Theory , Comput. Struct. , vol. 51 , pp. 79 – 89 , 1992 .
   Web of Science ®Google Scholar
• A. W. Leissa , Vibration of Plates , Report NASA SP-160 , Washington , DC , USA , 1969 .
   Google Scholar
• J. N. Reddy , Mechanics of Laminated Composite Plates and Shells. Theory and Analysis , CRC Press , Boca Raton , USA , 2004 .
   Google Scholar
• P. Heyliger , Exact Solutions for Simply Supported Laminated Piezoelectric Plates , J. Appl. Mech.-T. ASME , vol. 64 , pp. 299 – 306 , 1997 .
   Web of Science ®Google Scholar