An exact solution of crack problems in piezoelectric materials

1999 ◽  
Vol 20 (1) ◽  
pp. 51-58 ◽  
Author(s):  
Gao Cunfa ◽  
Fan Weixun
Keyword(s):  
Exact Solution ◽  
Piezoelectric Materials ◽  
Crack Problems

Further remarks on an exact solution for crack problems

1983 ◽  
Vol 18 (3) ◽  
pp. 735-741 ◽  
Author(s):  
David J. Unger ◽  
W.W. Gerberich ◽  
Elias C. Aifantis
Keyword(s):  
Exact Solution ◽  
Crack Problems

Crack problems in magnetoelectroelastic solids. Part I: exact solution of a crack

2003 ◽  
Vol 41 (9) ◽  
pp. 969-981 ◽  
Author(s):  
Cun-Fa Gao ◽  
Hannes Kessler ◽  
Herbert Balke
Keyword(s):  
Exact Solution ◽  
Crack Problems ◽  
Magnetoelectroelastic Solids

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.

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.

Exact Two-Dimensional Contact Analysis of Piezomagnetic Materials Indented by a Rigid Sliding Punch

2012 ◽  
Vol 79 (4) ◽  
Author(s):  
Yue Ting Zhou ◽  
Kang Yong Lee
Keyword(s):  
Integral Equation ◽  
Exact Solution ◽  
Singular Integral Equation ◽  
Singular Integral ◽  
Mixed Boundary ◽  
Piezoelectric Materials ◽  
Fundamental Solutions ◽  
Two Dimensional ◽  
Moving Contact ◽  
Cylindrical Punch

The aim of the present paper is to investigate the two-dimensional moving contact behavior of piezomagnetic materials under the action of a sliding rigid punch. Introduction of the Galilean transformation makes the constitutive equations containing the inertial terms tractable. Eigenvalues analyses of the piezomagnetic governing equations are detailed, which are more complex than those of the commercially available piezoelectric materials. Four eigenvalue distribution cases occur in the practical computation. For each case, real fundamental solutions are derived. The original mixed boundary value problem with either a flat or a cylindrical punch foundation is reduced to a singular integral equation. Exact solution to the singular integral equation is obtained. Especially, explicit form of the stresses and magnetic inductions are given. Figures are plotted both to show the correctness of the derivation of the exact solution and to reveal the effects of various parameters on the stress and magnetic induction.

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