Large deformation of electro-magneto-thermo-elastic (EMTE) bilaminates

• Main Authors: Liu, Mei-Feng, Yong, Chung-Han
• Format: Conference Proceeding
• Language: English
• Subjects: Conduction heating; Conductive heat transfer; Constitutive equations; Constitutive relationships; Deformation effects; Elastic deformation; Entropy; Fourier law; Maxwell's equations; Plate theory; Rectangular plates; Thermodynamics; Thin plates
• ISSN: 0094-243X; 1551-7616
• DOI: 10.1063/5.0228967

An electro-magneto-thermo-elastic (EMTE) bilaminates is considered in this study by introducing the interactive effects among electric displacements, magnetic inductions, thermal entropy, and elastic stresses. In particular, large deformation for a EMTE thin plate model is adopted to demonstrate the validity of the proposed formulation. Alternative constitutive equations are deployed, von Karman nonlinear strains in conjunction with Classical Plate Theory (CPT) are utilized, Maxwell equations and Fourier law for heat conduction are adhered. In-plane fields for electricity, magnetism and temperature are ignored, Gauss’ laws and heat equation are simplified, furthermore, electric/magnetic potentials and thermal entropy are solved in an exact form. Stress components are obtained, force resultants are evaluated, and the nonlinear bending equilibrium for the EMTE thin plate is attained. Galerkin-Bubnov method is employed for a simply-supported EMTE rectangular plate, validation is accomplished, and the effect of volume fraction is discussed. In addition, the deformation-force curve is depicted, and the nonlinear characteristic is quested.