Temperature-dependent thermal buckling and free vibration behavior of smart sandwich nanoplates with auxetic core and magneto-electro-elastic face layers

• Published in: Mechanics of time-dependent materials Vol. 28; no. 3; pp. 1999 - 2039
• Main Authors: Aktas, Kerim Gokhan, Pehlivan, Fatih, Esen, Ismail
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.09.2024; Springer Nature B.V
• Subjects: Barium titanates; Characterization and Evaluation of Materials; Classical Mechanics; Closed form solutions; Cobalt ferrites; Deformation effects; Elastic buckling; Elastic deformation; Engineering; Free vibration; Hamilton's principle; Magnetic properties; Material properties; Metamaterials; Nanoelectromechanical systems; Nanosensors; Parameter sensitivity; Polymer Sciences; Shear deformation; Solid Mechanics; Strain; Structural integrity; Temperature dependence; Thermal analysis; Thermal buckling; Thermal simulation; Thermomechanical properties; Titanium base alloys; Vibration response; Magneto-electro-elastic nanoplate; Barium titanate; Nonlocal strain gradient theory; Auxetic core; Cobalt ferrite
• ISSN: 1385-2000; 1573-2738
• DOI: 10.1007/s11043-024-09698-0

This article addresses the thermomechanical thermal buckling and free vibration response of a novel smart sandwich nanoplate based on a sinusoidal higher-order shear deformation theory (SHSDT) with a stretching effect. In the proposed sandwich nanoplate, an auxetic core layer with a negative Poisson’s ratio made of Ti-6Al-4V is sandwiched between Ti-6Al-4V rim layers and magneto-electro-elastic (MEE) face layers. The MEE face layers are homogenous volumetric mixtures of cobalt ferrite (CoFe 2 O 4 ) and barium titanate (BaTiO 3 ). The mechanical and thermal material properties of the auxetic core and MEE face layers are temperature-dependent. Using Hamilton’s principle, governing equations are constructed. To characterize the size-dependent behavior of the nanoplate, governing equations are adapted with the nonlocal strain gradient theory (NSGT). By applying the principles of Navier’s technique, closed-form solutions are obtained. Parametric simulations are carried out to examine the effects of auxetic core parameters, temperature-dependent material properties, nonlocal parameters, electric, magnetic, and thermal loads on the free vibration and thermal buckling behavior of the nanoplate. According to the simulation results, it is determined that the auxetic core parameters, temperature-dependent material properties, and nonlocal factors significantly affect the thermomechanical behavior of the nanoplate. The outcomes of this investigation are expected to contribute to the advancement of smart nano-electromechanical systems, transducers, and nanosensors characterized by lightweight, exceptional structural integrity and temperature sensitivity. Also, the auxetic core with a negative Poisson’s ratio provides a metamaterial feature, and thanks to this feature, the proposed model has the potential to be used as an invisibility technology in sonar and radar-hiding applications.