Higher-Order Piezoelectric Plate Theory Derived from a Three-Dimensional Variational Principle

By Romesh C. Batra, S. Vidoli. 2002

210 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/b6d6995cd03a3a33faf1d37f4897eb64179050f1

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In Aerospace Engineering

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Three-Dimensional transient heat conduction in a functionally graded thick plate with a higher-order plate theory and a meshless local Petrov-Galerkin method (2005, unknown): “The approach followed here is similar to that used by Batra and Vidoli [7] and Batra et al. [8] who derived a higher-order shear and normal deformable plate theory (HOSNDPT) for piezoelectric and elastic plates respectively.”
Plane wave solutions and modal analysis in higher order shear and normal deformable plate theories (2002, background): “[4], Lee and Yu [5], Batra and Vidoli [6], Messina [7], Carrera [8], Di Carlo et al.”
Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method (2005, methodology): “We note that Qian et al. [9–11] used the meshless local Petrov–Galerkin method (MLPG) and either two-dimensional equations of thermoelasticity or a higher-order shear and normal deformable plate theory of Batra and Vidoli [12] to analyze static and dynamic deformations of a FG plate.”
Natural frequencies of functionally graded plates by a meshless method (2006, methodology): “[3] Batra RC, Vidoli S. Higher order piezoelectric plate theory derived from a three-dimensional variational principle.”
Analysis of Functionally Graded Plates by a Robust Meshless Method (2007, methodology): “[54] have used the RBFs, the MLPG formulation, and the K th order shear and normal deformable plate theory [52] to analyze deformations of a thick FG plate.”
A critical review of recent research on functionally graded plates (2013, methodology): “These results have been used by Qian and Batra [138] to validate their numerical solutions obtained by them based on a higher order shear and normal deformable plate theory (originally derived by Batra and Vidoli [139] from a 3D variational principle for a piezoelectric plate, named as HOSNDPT) and ”
Static and dynamic analysis of laminated composite and sandwich plates and shells by using a new higher-order shear deformation theory (2011, methodology): “Higher order shear deformation theories (HSDTs) were developed to improve the analysis of shell responses and extensively used by many researchers [20–59].”
TRANSIENT THERMOELASTIC DEFORMATIONS OF A THICK FUNCTIONALLY GRADED PLATE (2004, methodology): “Vidoli [ 24 ] for a piezoelectric plate based on the mixed variational principle of Yang and Batra [41], and by Batra et al. [40] for an elastic plate based on the Hellinger– Reissner principle.”
Analysis of thick functionally graded plates by using higher-order shear and normal deformable plate theory and MLPG method with radial basis functions (2007, unknown): “The higher-order shear and normal deformable plate theory (HOSNDPT) developed by Batra and coworkers [10,17] has the following advantages: it accounts for both transverse normal and transverse shear deformations, it exactly satisfies traction boundary conditions prescribed on plate’s major surfaces,”