Mode III delamination of a viscoelastic strip from a dissimilar viscoelastic half-plane

1994 ◽  
Vol 31 (4) ◽  
pp. 551-566 ◽  
Author(s):  
Michael Ryvkin ◽  
Leslie Banks-Sills
Keyword(s):  
Half Plane ◽  
Mode Iii ◽  
Viscoelastic Strip

Elastic cloaking for a periodic distribution of parallel finite cracks

2021 ◽  
Vol 477 (2249) ◽  
pp. 20200997
Author(s):  
Ping Yang ◽  
Xu Wang ◽  
Peter Schiavone
Keyword(s):  
Half Plane ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Mode Iii ◽  
Original Design ◽  
Periodic Distribution ◽  
Wavy Interface ◽  
Cauchy Singular Integral ◽  
Periodic Cracks ◽  
The Right

We achieve elastic cloaking for a periodic distribution of an infinite number of parallel finite mode III cracks by means of the complex variable method and the theory of Cauchy singular integral equations. The cloaking bimaterial structure is composed of an undisturbed uniformly stressed left half-plane perfectly bonded via a wavy interface to the right half-plane which contains periodic cracks. The original design of the wavy interface and the positions of the periodic cracks are ultimately reduced to the solution of a Cauchy singular integral equation which can be solved numerically.

Analysis of multiple moving mode-III cracks in a functionally graded magnetoelectroelastic half-plane

2017 ◽  
Vol 28 (19) ◽  
pp. 2823-2834 ◽  
Author(s):  
Mojtaba Ayatollahi ◽  
Mojtaba Mahmoudi Monfared ◽  
Mahsa Nourazar
Keyword(s):  
Integral Equations ◽  
Half Plane ◽  
Field Intensity ◽  
Electric Displacement ◽  
Singular Integral Equations ◽  
Functionally Graded ◽  
Intensity Factors ◽  
Mode Iii ◽  
Singular Stress ◽  
Field Intensity Factors

This study deals with the interaction of multiple moving mode-III cracks in a functionally graded magnetoelectroelastic half-plane. The cracks are assumed to be either magneto-electrically impermeable or permeable. First, the singular stress, electric displacement, and magnetic induction fields in a half-plane with dislocations are obtained in closed form by the means of complex Fourier transform and then the problem is reduced to a system of singular integral equations in a set of unknown functions representing dislocation densities. These integral equations are Cauchy singular and are solved numerically to determine field intensity factors for multiple moving cracks. The results show that the crack velocity has great effect on the field intensity factors.

Sign in / Sign up

Export Citation Format

Share Document