Asymptotic analysis of fracture theory for layered composites in compression (the plane problem)

2000 ◽  
Author(s):  
I Guz ◽  
C Soutis
Keyword(s):  
Asymptotic Analysis ◽  
Plane Problem ◽  
Layered Composites ◽  
Fracture Theory

scholarly journals Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate

2018 ◽  
Vol 25 (1) ◽  
pp. 3-16 ◽  
Author(s):  
Ludmila Prikazchikova ◽  
Yağmur Ece Aydın ◽  
Barış Erbaş ◽  
Julius Kaplunov
Keyword(s):  
Asymptotic Analysis ◽  
Plane Problem ◽  
Dynamic Problem ◽  
Composite Structures ◽  
Vibration Mode ◽  
Low Frequency ◽  
Layered Plate ◽  
Dynamic Shear ◽  
Frequency Range ◽  
Asymptotic Equation

Anti-plane dynamic shear of a strongly inhomogeneous dynamic laminate with traction-free faces is analysed. Two types of contrast are considered, including those for composite structures with thick or thin stiff outer layers. In both cases, the value of the cut-off frequency corresponding to the lowest antisymmetric vibration mode tends to zero. For this mode, the shortened dispersion relations and the associated formulae for displacement and stresses are obtained. The latter motivate the choice of appropriate settings, supporting the limiting forms of the original anti-plane problem. The asymptotic equation derived for a three-layered plate with thick faces is valid over the whole low-frequency range, whereas the range of validity of its counterpart for another type of contrast is restricted to a narrow vicinity of the cut-off frequency.

The Discontinuous Higher Order Fields for Anti-Plane Crack at Interface

2008 ◽  
Vol 47-50 ◽  
pp. 1027-1030 ◽  
Author(s):  
Yao Dai ◽  
Shi Min Li ◽  
Wei Tan
Keyword(s):  
Asymptotic Analysis ◽  
Plane Problem ◽  
Theoretical Basis ◽  
Engineering Application ◽  
Higher Order ◽  
High Order ◽  
Weak Discontinuity ◽  
Plane Crack ◽  
Crack Problems ◽  
Homogeneous Materials

The high order discontinuous asymptotic fields similar to the Williams’ solutions to crack problems in homogeneous materials are obtained by asymptotic analysis for an anti-plane problem in non-homogeneous materials and the crack at the physical weak-discontinuous interface. These results provide a theoretical basis for engineering application of weak-discontinuity fracture.

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