A No-Slip Interface Crack

1980 ◽  
Vol 47 (2) ◽  
pp. 347-350 ◽  
Author(s):  
A. F. Mak ◽  
L. M. Keer ◽  
S. H. Chen ◽  
J. L. Lewis
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Interface Crack ◽  
Crack Tip ◽  
Mode I ◽  
Mode Ii ◽  
Shear Stresses ◽  
Rough Interface ◽  
Adhesive Fracture

Adhesive fracture of an interdigitated or very rough interface is investigated by considering an interface crack with no-slip zones. Both the normal and the shear stresses are singular at the crack tip with the Mode II stress-intensity factor being generally smaller than that of the Mode I.

Mode I Stress Intensity Factor for a Cracked Plate with an Integrated Piezoelectric Actuator

2015 ◽  
Vol 1115 ◽  
pp. 517-522 ◽  
Author(s):  
Ahmed Abuzaid ◽  
Meftah Hrairi ◽  
Mohd Sultan Dawood
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Fracture Mechanics ◽  
Intensity Factor ◽  
Piezoelectric Actuator ◽  
Crack Tip ◽  
Critical Stress Intensity Factor ◽  
Mode I ◽  
Singular Stress ◽  
Cracked Plate

The fracture performance of cracked structures is dominated by singular stress in the crack tip vicinity. In fracture mechanics most interest is focused on stress intensity factors, which describe the singular stress field ahead of a crack tip and govern fracture of structures when a critical stress intensity factor is reached. In the present work linear fracture mechanics is applied in order to obtain the fracture toughness parameters of a cracked plate integrated with piezoelectric actuator under mode I loading. Analytical model was derived to represent the relation between piezoelectric parameters and stress intensity factor and energy release rate. The results indicate that the stress intensity factor decreases linearly with the application of the different piezoelectric actuator voltages.

Intersonic Crack Propagation—Part II: Suddenly Stopping Crack

2001 ◽  
Vol 69 (1) ◽  
pp. 76-80 ◽  
Author(s):  
Y. Huang ◽  
H. Gao
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Fundamental Solution ◽  
Crack Propagation ◽  
Auxiliary Problem ◽  
Crack Tip ◽  
Mode Ii ◽  
Static Crack ◽  
Intersonic Crack Propagation

In Part I of this series, we have obtained the fundamental solution for a mode II intersonic crack which involves a crack moving uniformly at a velocity between the shear and longitudinal wave speeds while subjected to a pair of concentrated forces suddenly appearing at the crack tip and subsequently acting on the crack faces. The fundamental solution can be used to generate solutions for intersonic crack propagation under arbitrary initial equilibrium fields. In this paper, Part II of this series, we study a mode II crack suddenly stopping after propagating intersonically for a short time. The solution is obtained by superposing the fundamental solution and the auxiliary problem of a static crack emitting dynamic dislocations such that the relative crack face displacement in the fundamental solution is negated ahead of where the crack tip has stopped. We find that, after the crack stops moving, the stress intensity factor rapidly rises to a finite value and then starts to change gradually toward the equilibrium value for a static crack. A most interesting feature is that the static value of stress intensity is reached neither instantaneously like a suddenly stopping subsonic crack nor asymptotically like a suddenly stopping edge dislocation. Rather, the dynamic stress intensity factor changes continuously as the shear and Rayleigh waves catch up with the stopped crack tip from behind, approaches negative infinity when the Rayleigh wave arrives, and then suddenly assumes the equilibrium static value when all the waves have passed by. This study is an important step toward the study of intersonic crack propagation with arbitrary, nonuniform velocities.

Stress Intensity Factor of a Central Interface Crack in a Bonded Strip under Arbitrary Material Combination

2011 ◽  
Vol 462-463 ◽  
pp. 1146-1151
Author(s):  
Naoaki Noda ◽  
Yu Zhang ◽  
Xin Lan ◽  
Kentaro Takaishi
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Interface Crack ◽  
Crack Tip ◽  
Material Combination ◽  
Interface Cracks ◽  
Axial Tension ◽  
Crack Problems ◽  
Previously Treated

Although a lot of interface crack problems were previously treated, few solutions are available under arbitrary material combination. This paper deals with one central interface crack and numerical interface cracks in a bonded strip. Then, the effects of material combination on the stress intensity factors are discussed. A useful method to calculate the stress intensity factor of interface crack is presented with focusing on the stress at the crack tip calculated by the finite element method. For one central interface crack, it is found that the results of bonded strip under remote uni-axial tension are always depending on the Dunders’ parameters , and different from the well-known solution of the central interface crack under internal pressure that is only depending on . Besides, it is shown that the stress intensity factor of bonded strip can be estimated from the stress of crack tip in the bonded plate when there is no crack. It is also found that when , when , and when . For numerical interface cracks , values of and with arbitrary material combination expressed by , are obtained.

Mode-II Stress Intensity Factor by Triangular Williams Element with Generalized Degrees of Freedom

2012 ◽  
Vol 204-208 ◽  
pp. 4391-4395
Author(s):  
Hua Xu ◽  
Lu Feng Yang
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Degrees Of Freedom ◽  
Crack Tip ◽  
High Accuracy ◽  
Mode Ii ◽  
Mode Ii Crack ◽  
Triangular Elements ◽  
Generalized Degrees Of Freedom

A new triangular Williams element with generalized degrees of freedom (GDOFs) was proposed for analysis of stress intensity factor (SIF) of mode II crack. The singular region around the crack tip was evenly divided into a series of triangular elements, which could be approximated by the improved Williams series. On the basis of the principle, the displacement of local field must be compatible with that of the global one, so that the SIF at the crack tip can be directly evaluated by one of the undetermined constants of the Williams series. Three important parameters for the triangular Williams element, including the radial scale factor, the number of subelements and the terms of the Williams series, were discussed in detail. Numerical example shows that the triangular Williams elements with GDOFs can directly calculate the mode II SIF with high accuracy and efficiency.

Sign in / Sign up

Export Citation Format

Share Document