Size Dependent Thermo-Piezoelectricity for In-Plane Cracks

Jan Sladek; Vladimir Sladek; M. Repka; Choon Lai Tan

doi:10.4028/www.scientific.net/KEM.827.147

Paper Titles

Analysis of the Heat Affected Zone and Surface Roughness during Laser Micromachining of Metals
p.122

Virtual Element Method: Micro-Mechanics Applications
p.128

A Model for Low-Cycle Fatigue in Micro-Structured Materials
p.134

Lifetime Calculation of Soil-Loaded Non-Pressure Polymer Pipes
p.141

Size Dependent Thermo-Piezoelectricity for In-Plane Cracks
p.147

Study on Generalization of Lefort’s Approach to Critical Crack Length
p.153

Modelling the Strength of Cellulose Nanofiber-Filled Rigid Low-Density PU Foams
p.159

Evaluation of Residual Stresses in Laser Welded High-Pressure Vessels Steels by X-Ray Diffraction
p.165

DIC Measurement of the Full Strain Field in a Tiled Laminate to Determine Local and Global Stiffness Properties
p.171

HomeKey Engineering MaterialsKey Engineering Materials Vol. 827Size Dependent Thermo-Piezoelectricity for...

Size Dependent Thermo-Piezoelectricity for In-Plane Cracks

Abstract:

The finite element method (FEM) is developed to analyse the size effect (flexoeletricity) for 2-D crack problems in thermo-piezoelectricity. Flexoelectricity is observed in micro/nanoelectronic structures, where large strain gradients destroy the symmetric structure of atoms in crystals and thereby causing polarization, even in dielectric materials. In contrast to using classical Fourier heat conduction theory, a finite speed of the thermal wave is considered in the higher order transport equation. The variational principle is applied to derive the FEM equations and C¹-continuous elements are employed in the implementation of the FEM. An example is presented to demonstrate the effect of the characteristic time parameter on the crack opening displacement and temperature distribution.