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.

The Steady-State Growing Crack-Tip Field Characteristics of Mode I Elastic-Viscoplastic/Rigid Interface Cracks

2010 ◽  
Vol 452-453 ◽  
pp. 113-116
Author(s):  
Wen Yan Liang ◽  
Zhen Qing Wang ◽  
Hong Qing Lv
Keyword(s):  
Interface Crack ◽  
Crack Tip ◽  
Dissimilar Materials ◽  
Viscosity Coefficient ◽  
Mode I ◽  
Crack Tip Field ◽  
Displacement Potential ◽  
Viscosity Effect ◽  
Singularity Exponent ◽  
Rigid Interface

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 singularity and viscosity are considered in crack-tip, and the elastic-viscoplastic governing equations of double dissimilar materials at interface crack-tip field are established. The displacement potential function and boundary condition of interface crack-tip are introduced, and the numerical analysis of elstic-viscoplastic/rigid interface for mode I are worked out. The stress-strain fields are obtained at the crack-tip and the variation rules of solutions are discussed according to each parameter. 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.

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.

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

2008 ◽  
Vol 385-387 ◽  
pp. 321-324
Author(s):  
Wen Yan Liang ◽  
Zhen Qing Wang ◽  
Bo Zhou ◽  
Hong Qing Lv
Keyword(s):  
Numerical Solution ◽  
Mixed Mode ◽  
Equivalent Plastic Strain ◽  
Crack Tip ◽  
Viscosity Coefficient ◽  
Plastic Strain Rate ◽  
Crack Tip Field ◽  
Viscosity Effect ◽  
Mixed Mode Crack ◽  
Propagating Crack

Under the assumption that the viscosity coefficient is in inverse proportion to the power law of the equivalent plastic strain rate. The friction touch effect between viscosity and crack-tip surfaces is considered, the asymptotic solution is established for elastic-viscoplastic field at the mixed-mode quasi static crack-tip under compression and shear. The numerical solution at crack-tip without stress and stain gap is obtained. The variation of numerical solution is discussed for the mixed-mode under compression and shear according to each parameter. Through numerical results and analysis for the mixed-mode crack-tip field under compressing and shear, it is whole plastic without elastic unloaded section, viscosity effect is an important factor when propagating crack-tip field.

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

2011 ◽  
Vol 211-212 ◽  
pp. 364-368
Author(s):  
Zhen Qing Wang ◽  
Fang Liu ◽  
Wen Yan Liang
Keyword(s):  
Interface Crack ◽  
Power Law ◽  
Mixed Mode ◽  
Crack Tip ◽  
Viscosity Coefficient ◽  
Plastic Strain Rate ◽  
Crack Tip Field ◽  
Control Factors ◽  
Mixed Mode Crack ◽  
Propagating Crack

To further study the field of the mixed-mode interface crack tip under compression and shear, we analyze the problem on the quasi-static propagating of the interface crack theoretically and numerically.In this paper,we assumes that the artifical viscosity cofficient is in inverse proportion to power law of the plastic strain rate,and the stress of the interface crack possesses power law singularity. The viscosity of material,the friction touch effection of the crack-tip surface and the load hybrid parameter are considered. The asymptotic solution is established for elastic-viscoplastic field at the mixed-mode propagating crack-tip under comprission and shear.It is shown in numerical results and analysis that for the mixed-mode crack-tip field under compressing and shear is whole plastic without elastic unloaded section;viscosity effection is an important factor when propagating crack-tip field is studied; viscosity coefficient, mach number and singularity exponent are the control factors of singular field at the crack-tip.

The Asymptotic Elastic-Viscoplastic Field at Mode I Dynamic Propagating Crack-Tip

2007 ◽  
Vol 348-349 ◽  
pp. 817-820
Author(s):  
Zhen Qing Wang ◽  
Ji Bin Wang ◽  
Wen Yan Liang ◽  
Juan Su
Keyword(s):  
Crack Tip ◽  
Viscosity Coefficient ◽  
Plastic Strain Rate ◽  
Mode I ◽  
Mode I Crack ◽  
Moving Crack ◽  
Dynamic Propagating ◽  
Propagating Crack ◽  
Hardening Condition ◽  
Elastic Unloading

The viscosity of material is considered at propagating crack-tip. Under the assumption that the artificial viscosity coefficient is in inverse proportion to the power law of the plastic strain rate, an elastic-viscoplastic asymptotic analysis is carried out for moving crack-tip fields in power-hardening materials under plane-strain condition. A continuous solution is obtained containing no discontinuities. The variations of the numerical solution are discussed for mode I crack according to each parameter. It is shown that stress and strain both possess exponential singularity. The elasticity, plasticity and viscosity of material at the crack-tip only can be matched reasonably under linear-hardening condition. The tip field contains no elastic unloading zone for mode I crack.

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

The Elastic-Viscoplastic Field at the Tip of Mode II Quasi-Static Propagating Crack in Rate-Sensitive Material

2007 ◽  
Vol 334-335 ◽  
pp. 109-112
Author(s):  
Wen Yan Liang ◽  
Zhen Qing Wang ◽  
Hong Quing Lu ◽  
Yong Jun Wang
Keyword(s):  
Plastic Material ◽  
Crack Tip ◽  
Viscosity Coefficient ◽  
Characteristic Parameter ◽  
Constitutive Relationship ◽  
Plastic Strain Rate ◽  
Mode Ii ◽  
Sensitive Material ◽  
Strain Fields ◽  
Propagating Crack

Under the assumption that the artificial viscosity coefficient at the propagating crack tip is in inverse proportion to power law of the plastic strain rate, a rate-sensitive constitutive relationship is derived for perfect elastic-plastic material. With the adoption of the rate-sensitive constitutive relationship, it is asymptotically investigated the propagating tip fields of plane strain mode II. And the quasi-static equations are obtained separately governing the stress and strain fields at the crack-tip by means of Airy stress function. Numerical calculations of governing equations are carried out by double parameters shooting, with selections of appropriate values of each characteristic parameter by combinations of boundary, and the fully continuous stress-strain fields are obtained at the crack-tip. The analytical and computational results indicate that viscosity effect is an important factor in crack-tip fields.

Asymptotic Field near the Tip of a Mode I Quasi-Statically Propagating Crack in Rate-Sensitive Materials

2010 ◽  
Vol 452-453 ◽  
pp. 141-144
Author(s):  
Jia Lei Li ◽  
Bin Jia ◽  
Zhen Qing Wang ◽  
Bao Jun Pang
Keyword(s):  
Power Law ◽  
Crack Tip ◽  
Viscosity Coefficient ◽  
Mode I ◽  
Crack Tip Field ◽  
Plane Stress Condition ◽  
Propagating Crack ◽  
Power Law Function ◽  
Constitutive Mode ◽  
Hardening Coefficient

An elastic-viscoplastic constitutive mode was adopted to analyze asymptotically the tip field of a mode I quasi-statically propagating crack in rate-sensitive materials under plane stress condition. Under the assumption that the viscosity coefficient is a power law function of the rate of effective plastic strain, it was obtained through dimension match that the crack tip field possesses power law singularity. And the singularity exponent is uniquely determined by the power law exponent in the supposed viscosity coefficient. The elasticity, plasticity and viscosity of material at crack-tip only can be matched reasonably under linear-hardening condition. Variations of crack tip field characters according to each material parameter were discussed by means of numerical computation. The stress intensity is dominated by the material viscosity whereas the hardening coefficient has less significant influence on tip field. Furthermore, the solution can be transformed to the elastic-nonlinear-viscous one of Hui and Riedel if the limit case of zero hardening coefficient is considered.

Sign in / Sign up

Export Citation Format

Share Document