Crack-Tip Field of a Supersonic Bimaterial Interface Crack

2002 ◽  
Vol 69 (5) ◽  
pp. 693-696 ◽  
Author(s):  
J. Wu
Keyword(s):  
Interface Crack ◽  
Crack Tip ◽  
Bimaterial Interface ◽  
Crack Tip Field ◽  
Asymptotic Field ◽  
Homogeneous Materials ◽  
Supersonic Regime ◽  
Bimaterial Interface Crack

The sextic approach was used to investigate the asymptotic field of a bimaterial interface crack in the entire supersonic regime and extended to include the combination of isotropic and homogeneous materials, where the sextic method had been considered difficult. Application to typical systems was demonstrated.

A Note on Interface Cracks With and Without Friction in Contact Zone

1994 ◽  
Vol 61 (4) ◽  
pp. 994-995 ◽  
Author(s):  
X. Deng
Keyword(s):  
Contact Zone ◽  
Crack Surface ◽  
Complex Function ◽  
Crack Tip ◽  
The Body ◽  
Bimaterial Interface ◽  
Crack Tip Field ◽  
Function Representation ◽  
Complete Set ◽  
Bimaterial Interface Crack

A complete set of Comninou’s bimaterial interface crack-tip fields with and without friction in the contact zone (Comninou, 1977a,b) is given in terms of several arbitrary analytic functions. When the bimaterial becomes homogeneous, the complex function representation fully describes the crack-tip field for a cracked body under conditions of crack surface contact and slip, which can occur when the body is subjected to combined compression and shear loadings.

Elastic-Viscoplastic Field at the Mixed-Mode Crack-Tip under Compression and Shear

2011 ◽  
Vol 488-489 ◽  
pp. 452-455
Author(s):  
Wen Yan Liang ◽  
Zhen Qing Wang ◽  
Fang Liu
Keyword(s):  
Interface Crack ◽  
Mixed Mode ◽  
Crack Tip ◽  
Viscosity Coefficient ◽  
Crack Tip Field ◽  
Displacement Potential ◽  
Dynamic Propagation ◽  
Singularity Exponent ◽  
Crack Interface ◽  
Main Factor

In the present paper, the mechanical model of dynamic propagation interface crack of the compression-shear mixed mode is proposed by using the elastic-viscoplastic constitutive model. Then the governing equations of propagation crack interface at crack tip are given. The numerical analysis is accomplished for the interface crack of compression-shear mixed mode by introducing a displacement potential function and some boundary conditions at interface crack tip. The distributed regularities of stress-strain fields of interface crack tip are discussed with several special parameters. The numerical results show that the viscosity effect is a main factor of interface propagating at crack-tip field, and the interface crack-tip is a viscoplastic field that is governed by viscosity coefficient、Mach number and singularity exponent.

scholarly journals Oscillatory Singularity Behaviors Near Interface Crack Tip for Mode II of Orthotropic Bimaterial

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Xiaomei Yang ◽  
Weiyang Yang ◽  
Junlin Li ◽  
Xuexia Zhang
Keyword(s):  
Interface Crack ◽  
Linear Independence ◽  
Linear Equations ◽  
Crack Tip ◽  
Analytic Solutions ◽  
Mode Ii ◽  
Crack Tip Field ◽  
Fracture Behaviors ◽  
Stress Functions ◽  
Singularity Exponent

The fracture behaviors near the interface crack tip for mode II of orthotropic bimaterial are discussed. The oscillatory singularity fields are researched. The stress functions are chosen which contain twelve undetermined coefficients and an unknown singularity exponent. Based on the boundary conditions and linear independence, the system of twelve nonhomogeneous linear equations is derived. According to the condition for the system of nonhomogeneous linear equations which has a solution, the singularity exponent is determined. Total coefficients are found by means of successive elimination of the unknowns. The theoretical formulae of stress intensity factors and analytic solutions of stress field near the interface crack tip are obtained. The crack tip field is shown by figures.

Crack-tip field on mode II interface crack of double dissimilar orthotropic composite materials

2009 ◽  
Vol 30 (12) ◽  
pp. 1489-1504 ◽  
Author(s):  
Xue-xia Zhang ◽  
Xiao-chao Cui ◽  
Wei-yang Yang ◽  
Jun-lin Li
Keyword(s):  
Composite Materials ◽  
Interface Crack ◽  
Crack Tip ◽  
Mode Ii ◽  
Crack Tip Field ◽  
Orthotropic Composite

A Crack in an Electrode Layer between Two Dissimilar Piezoelectric Materials

2007 ◽  
Vol 353-358 ◽  
pp. 231-234
Author(s):  
Hyeon Gyu Beom ◽  
Y.H. Kim ◽  
C.K. Yoon ◽  
Chong Du Cho
Keyword(s):  
Closed Form ◽  
Interface Crack ◽  
Analytic Functions ◽  
Piezoelectric Materials ◽  
Interfacial Crack ◽  
Crack Tip ◽  
Crack Tip Field ◽  
Electrode Layer ◽  
Finite Crack ◽  
Electromechanical Loading

A crack on the conductive interface between two dissimilar piezoelectric ceramics under electromechanical loading is investigated. The closed form of the singular crack tip fields for the interface crack is derived here using an analysis based on analytic functions. It is shown that the interfacial crack-tip field consists of a pair of oscillatory singularities. A closed form of the solution for a finite crack on the conductive interface between dissimilar piezoelectric media is also derived.

The Elastic-Viscoplastic Field Near Mode II Dynamic Propagating Crack-Tip of Interface in Double Dissimilar Materials

2010 ◽  
Vol 97-101 ◽  
pp. 625-628
Author(s):  
Wen Yan Liang ◽  
Zhen Qing Wang ◽  
Hong Qing Lv
Keyword(s):  
Interface Crack ◽  
Crack Tip ◽  
Dissimilar Materials ◽  
Viscosity Coefficient ◽  
Mode Ii ◽  
Crack Tip Field ◽  
Displacement Potential ◽  
Viscosity Effect ◽  
Dynamic Propagating ◽  
Propagating Crack

The existence of viscosity effect at the interface of double dissimilar materials has an important impact to the distribution of interface crack-tip field and the properties variety of the interface itself. The singular is considered in crack-tip, and the elastic-viscoplastic governing equations of double dissimilar materials at quasi-static propagating interface crack-tip field are established. The displacement potential function and boundary condition of interface crack-tip are introduced, and the numerical analysis of rigid-elastic viscoplastic interface for mode II are worked out. The stress-strain fields are obtained at the crack-tip and the variations of solutions are discussed according to each parameter. The numerical results show that the viscosity effect is a main factor of interface propagating crack-tip field, and the interface crack-tip is a viscoplastic field that is governed by viscosity coefficient、Mach number and singular factor.

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