scholarly journals Fracture analysis of cracked thermopiezoelectric materials by BEM

2007 ◽  
Vol 1 (2) ◽  
Author(s):  
Qing-Hua Qin
Keyword(s):  
Boundary Element ◽  
Piezoelectric Materials ◽  
Electric Displacement ◽  
Element Model ◽  
Element Formulation ◽  
Multiple Crack ◽  
Brief Assessment ◽  
Crack Problems ◽  
Piezoelectric Solid ◽  
Thermopiezoelectric Materials

The boundary element formulation for analysing cracked thermopiezoelectric materials due to thermal and electroelastic loads is reviewed in this paper. By way of Green's functions for piezoelectric solid with defects and variational principle, a boundary element model (BEM) for a 2-D thermopiezoelectric solid with various defects is discussed. The method is applicable to multiple crack problems in both finite and infinite solids. Finally a brief assessment of the boundary element formulation is made by considering some numerical examples for stress and electric displacement (SED) intensity factors at a particular crack-tip in a crack system of piezoelectric materials.

scholarly journals Electromechanical response of multilayered piezoelectric BaTiO3/PZT-7A composites with wavy architecture

2021 ◽  
pp. 1045389X2098388
Author(s):  
Wenqiong Tu ◽  
Qiang Chen
Keyword(s):  
Finite Element ◽  
Finite Volume ◽  
Volume Fraction ◽  
Piezoelectric Materials ◽  
Electric Displacement ◽  
Element Model ◽  
Numerical Convergence ◽  
Analysis And Design ◽  
Poling Direction ◽  
Microstructural Effects

Electromechanical laminated composites with piezoelectric phases are increasingly being explored as multifunctional materials providing energy conversion between electric and mechanical energies. The current work explores thus-far undocumented combined microstructural effects of amplitude-to-wavelength ratio, volume fraction, poling direction of piezoelectric phases on both the homogenized properties and localized stress/electric field distributions in multilayered configurations under fully coupled electro-mechanical loading. In particular, the Multiphysics Finite-Volume Direct Averaging Micromechanics (FVDAM) and its counterpart, an in-house micromechanical multiphysics finite-element model, are utilized to investigate the homogenized and localized responses of wavy multilayered piezoelectric BaTiO3/PZT-7A architectures. These two methods generate highly agreeable results. Moreover, we critically examine the convergence of the finite-volume and finite element-based approaches via the Average Stress Theorem and Average Electric Displacement Theorem. The comparison shows the finite volume-based approach possesses a better numerical convergence. This study illustrates the FVDAM’s ability toward the analysis and design of engineered multilayered piezoelectric materials with wavy architecture.

Dynamic Response of Three-Dimensional Multi-Domain Piezoelectric Structures via BEM

2018 ◽  
Vol 769 ◽  
pp. 317-322
Author(s):  
Leonid A. Igumnov ◽  
Ivan Markov ◽  
Aleksandr Lyubimov ◽  
Valery Novikov
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Piezoelectric Materials ◽  
Domain Boundary ◽  
Three Dimensional ◽  
Element Formulation ◽  
Laplace Domain ◽  
Piezoelectric Structures ◽  
Singular Representation ◽  
Element Method

In this paper, a Laplace domain boundary element method is applied for transient dynamic analysis of three-dimensional multi-domain linear piezoelectric structures. Piezoelectric materials of homogeneous sub-domains may have arbitrary degree of anisotropy. The boundary element formulation is based on a weakly singular representation of the piezoelectric boundary integral equations in the Laplace domain. To compute the time-domain solutions a convolution quadrature formula is applied for the numerical inversion of Laplace transform. Presented multi-domain boundary element method is tested on a three-dimensional problem of nonhomogeneous column which is made of two dissimilar piezoelectric materials and subjected to dynamic impact loading.

A Boundary Element Model for Structural Health Monitoring Based on the S0 Lamb Wave Mode

2018 ◽  
Vol 774 ◽  
pp. 625-631 ◽  
Author(s):  
Jun Li ◽  
Zahra Sharif Khodaei ◽  
Ferri M.H. Aliabadi
Keyword(s):  
Structural Health Monitoring ◽  
Boundary Element ◽  
Health Monitoring ◽  
Lamb Wave ◽  
Element Model ◽  
Simulation Method ◽  
Wave Mode ◽  
Element Formulation ◽  
Stress Theory ◽  
Structural Health

The aim of this paper was to carry out numerical simulations of structural health monitoring applications for plate structures using the boundary element method (BEM). The fundamental symmetric Lamb mode (S0) is chosen for the SHM applications. The propagation, reflection and diffraction of the S0 mode Lamb wave are modelled using a boundary element formulation based on the plane stress theory. Piezoelectric (PZT) actuators are mounted on plate surfaces to excite the S0 mode wave. A semi-analytical method is adopted to couple the PZT actuators and the host plate. Numerical results show that BEM is a very efficient simulation method for the structural health monitoring of plates.

Crack Analysis in Piezoelectric Semiconductors

2014 ◽  
Vol 627 ◽  
pp. 269-272 ◽  
Author(s):  
Jan Sladek ◽  
Vladimir Sladek
Keyword(s):  
Piezoelectric Materials ◽  
Electric Displacement ◽  
Weak Form ◽  
Test Function ◽  
Crack Problems ◽  
Unit Function ◽  
Piezoelectric Semiconductors ◽  
Local Weak Form ◽  
Local Integral Equations ◽  
Electric Loads

Mechanical and electric loads are considered for 2-d crack problems in conducting piezoelectric materials. The electric displacement in conducting piezoelectric materials is influenced by the electron density and it is coupled with the electric current. The coupled governing partial differential equations (PDE) for stresses, electric displacement field and current are satisfied in a local weak-form on small fictitious subdomains. Nodal points are spread on the analyzed domain and each node is surrounded by a small circle for simplicity. Local integral equations are derived for a unit function as the test function on circular subdomains. All field quantities are approximated by the moving least-squares (MLS) scheme.

scholarly journals Nonlinear mechanics of cracks subjected to indentation

2006 ◽  
Vol 33 (6) ◽  
pp. 766-775 ◽  
Author(s):  
A P Selvadurai
Keyword(s):  
Stress Intensity ◽  
Boundary Element ◽  
Crack Tip ◽  
Elastic Solid ◽  
Friction Stress ◽  
Friction Angle ◽  
Element Formulation ◽  
Plastic Energy ◽  
Crack Problems ◽  
Element Technique

The paper presents the application of a boundary element technique to study the behaviour of plane cracks that are located at corner regions of an elastic solid and open during indentation. In particular, the surfaces of the planes on which indentation takes place also exhibit Coulomb frictional responses and degradation in the friction angle with plastic energy dissipation. An incremental boundary element formulation, in which special singularity elements model the behaviour at the crack tip, is used to examine the crack problems. The methodology is applied to investigate the mode I stress intensity factor at the crack tip located at the base of a V-notch in a test specimen.Key words: indented cracks, boundary element modelling, Coulomb friction, stress intensity factors

Effect of Columbic Force on Piezoelectric Fracture

2004 ◽  
Vol 261-263 ◽  
pp. 81-86 ◽  
Author(s):  
Cun Fa Gao ◽  
Pin Tong ◽  
Tong Yi Zhang
Keyword(s):  
Fracture Behaviour ◽  
Piezoelectric Materials ◽  
Normal Component ◽  
Electric Displacement ◽  
Permeable Crack ◽  
Electric Loading ◽  
Non Linear Equation ◽  
Piezoelectric Solid ◽  
Electric Loads ◽  
Crack Faces

This paper studies the effect of the Columbic force on piezoelectric fracture. Bound charges emerge on the upper and lower surfaces of a permeable crack when a piezoelectric solid with the crack is subjected to far-field mechanical/electric loading. Taking into account the Columbic force between the bound charges, we obtain a non-linear equation governing the normal component of electric displacement D2(x1)on the crack faces. The results show that D2(x1)is, in general, not a constant along the crack faces and depends on the mechanical/electric loading conditions, the crack profile and the material properties outside and inside the crack. Furthermore, we examine the Columbic force under low mechanical/electric loads and then discuss the effect of the Columbic force on the fracture behaviour of piezoelectric materials.

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