Dynamic crack analysis in piezoelectric solids with non-linear crack-face boundary conditions by a time-domain BEM

2010 ◽  
pp. 335-348
Author(s):  
M. Wünsche ◽  
Ch. Zhang ◽  
F. Garcia-Sanchez ◽  
A. Saez ◽  
J. Sladek ◽  
...  
Keyword(s):  
Boundary Conditions ◽  
Time Domain ◽  
Dynamic Crack ◽  
Crack Face ◽  
Crack Analysis ◽  
Non Linear ◽  
Piezoelectric Solids

Dynamic crack analysis in piezoelectric solids with non-linear electrical and mechanical boundary conditions by a time-domain BEM

2011 ◽  
Vol 200 (41-44) ◽  
pp. 2848-2858 ◽  
Author(s):  
M. Wünsche ◽  
Ch. Zhang ◽  
F. García-Sánchez ◽  
A. Sáez ◽  
J. Sladek ◽  
...  
Keyword(s):  
Boundary Conditions ◽  
Time Domain ◽  
Dynamic Crack ◽  
Crack Analysis ◽  
Non Linear ◽  
Piezoelectric Solids

A 2D time-domain collocation-Galerkin BEM for dynamic crack analysis in piezoelectric solids

2010 ◽  
Vol 34 (4) ◽  
pp. 377-387 ◽  
Author(s):  
M. Wünsche ◽  
F. García-Sánchez ◽  
A. Sáez ◽  
Ch. Zhang
Keyword(s):  
Time Domain ◽  
Dynamic Crack ◽  
Crack Analysis ◽  
Piezoelectric Solids

Transient Dynamic Analysis of Cracked Multifield Solids with Consideration of Crack-Face Contact and Semi-Permeable Electric/Magnetic Boundary Conditions

2014 ◽  
Vol 618 ◽  
pp. 123-150
Author(s):  
Michael Wünsche ◽  
Andrés Sáez ◽  
Felipe García-Sánchez ◽  
Chuan Zeng Zhang ◽  
Jose Domínguez
Keyword(s):  
Intensity Factor ◽  
Boundary Conditions ◽  
Electric Displacement ◽  
Dynamic Crack ◽  
Intensity Factors ◽  
Crack Face ◽  
Transient Dynamic ◽  
Electric Displacement Intensity Factor ◽  
Non Linear ◽  
Crack Face Contact

Boundary element method (BEM) formulations for transient dynamic crack analysis intwo-dimensional (2D) multifield materials are reviwed in this paper. Both homogeneous and lin-ear piezoelectric as well as magnetoelectroelastic material models are considered. Special attentionis paid to properly modeling the non-linear crack-face contact and semi-permeable electric/magneticboundary conditions. Implementation of the corresponding time-domain BEM(TDBEM) is discussedin detail. The proposed TDBEM uses a Galerkin-method for the spatial discretization, whilst thecollocation method is considered for the temporal discretization. Iterative solution algorithms aredeveloped to compute the non-linear crack-face boundary conditions. Crack-tip elements that ac-count for the square-root local behavior of the crack opening displacements (CODs) at the crack-tipsare implemented. In this way, stress intensity factors (SIF), electric displacement intensity factor(EDIF) and magnetic induction intensity factor (MIIF) may be accurately evaluated from the nu-merically computed CODs at the closest nodes to the crack-tips. Numerical examples involving sta-tionary cracks in piezoelectric and magnetoelectroelastic solids under different combined (mechani-cal/electric/magnetic) impact loadings are investigated, in order to illustrate the effectiveness of theproposed approach and characterize the influence of the semi-permeable crack-face boundary condi-tions on the dynamic field intensity factors.

Time-domain BEM for dynamic crack analysis

1999 ◽  
Vol 50 (1-4) ◽  
pp. 351-362 ◽  
Author(s):  
Ch. Zhang ◽  
A. Savaidis
Keyword(s):  
Time Domain ◽  
Dynamic Crack ◽  
Crack Analysis

Dynamic Crack Analysis in Layered Piezoelectric Composites under Time-Harmonic Loading

2013 ◽  
Vol 577-578 ◽  
pp. 449-452
Author(s):  
Michael Wünsche ◽  
Felipe García-Sánchez ◽  
Chuan Zeng Zhang ◽  
Andrés Sáez
Keyword(s):  
Frequency Domain ◽  
Boundary Integral Equations ◽  
Piezoelectric Materials ◽  
Iterative Solution ◽  
Boundary Integral ◽  
Dynamic Crack ◽  
Crack Face ◽  
Piezoelectric Composites ◽  
Crack Analysis ◽  
Time Harmonic

In this Paper, Time-Harmonic Dynamic Crack Analysis in Two-Dimensional (2D), Layered and Linear Piezoelectric Composites is Presented. A Frequency-Domain Symmetric Galerkin Boundary Element Method (SGBEM) is Developed for this Purpose. the Piecewise Homogeneous Sub-Layers of the Piezoelectric Composites are Modeled by the Multi-Domain BEM Formulation. the Frequency-Domain Dynamic Fundamental Solutions for Linear Piezoelectric Materials are Applied in the Present BEM. the Boundary Integral Equations are Solved Numerically by a Galerkin-Method Using Quadratic Elements. an Iterative Solution Algorithm is Implemented to Consider the Non-Linear Semi-Permeable Electrical Crack-Face Boundary Conditions. Numerical Examples will be Presented and Discussed to Show the Influences of the Location and Size of the Crack, the Material Combination of the Sub-Layers, the Piezoelectric Effect and the Time-Harmonic Dynamic Loading on the Dynamic Intensity Factors.

A hypersingular time-domain BEM for 2D dynamic crack analysis in anisotropic solids

2009 ◽  
Vol 78 (2) ◽  
pp. 127-150 ◽  
Author(s):  
M. Wünsche ◽  
Ch. Zhang ◽  
M. Kuna ◽  
S. Hirose ◽  
J. Sladek ◽  
...  
Keyword(s):  
Time Domain ◽  
Dynamic Crack ◽  
Crack Analysis

On two hypersingular time-domain BEM for dynamic crack analysis in 2D anisotropic elastic solids

2009 ◽  
Vol 198 (33-36) ◽  
pp. 2812-2824 ◽  
Author(s):  
Michael Wünsche ◽  
Chuanzeng Zhang ◽  
Felipe García-Sánchez ◽  
Andrés Sáez ◽  
Jan Sladek ◽  
...  
Keyword(s):  
Time Domain ◽  
Dynamic Crack ◽  
Elastic Solids ◽  
Crack Analysis ◽  
Anisotropic Elastic
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