Small Scale Contact Conditions for the Linear-Elastic Interface Crack

1988 ◽  
Vol 55 (4) ◽  
pp. 814-817 ◽  
Author(s):  
Peter M. Anderson
Keyword(s):  
Interface Crack ◽  
Growth Parameter ◽  
Small Scale ◽  
Elastic Materials ◽  
Small Scale Yielding ◽  
Contact Conditions ◽  
Linear Elastic ◽  
Elastic Interface ◽  
Scale Yielding ◽  
Anisotropic Elastic

Conditions are discussed for which the contact zone at the tip of a two-dimensional interface crack between anisotropic elastic materials is small. For such “small scale contact” conditions combined with small scale yielding conditions, a stress concentration vector uniquely characterizes the near tip field, and may be used as a crack growth parameter. Representative calculations for an interface crack on a representative Cu grain boundary show small contact conditions to prevail, except possibly under large shearing loads.

Fracture of Circumferentially Cracked Pipes

1986 ◽  
Vol 108 (4) ◽  
pp. 529-531 ◽  
Author(s):  
A. Zahoor
Keyword(s):  
Crack Initiation ◽  
Closed Form ◽  
Axial Displacement ◽  
Load Control ◽  
Small Scale ◽  
Small Scale Yielding ◽  
Linear Elastic ◽  
Scale Yielding

Closed-form expressions are derived for linear elastic axial displacement and bending deflection of circumferentially cracked pipe under combined tension and bending. Formulas are then presented for the applied tearing modulus for: 1) load control and 2) displacement-controlled loading. These formulas are very useful for predicting crack initiation and instability under small-scale yielding conditions.

Numerical Investigation of Stress Singularities in Cracked Bimaterial Body

2008 ◽  
Vol 385-387 ◽  
pp. 125-128 ◽  
Author(s):  
Luboš Náhlík ◽  
Lucie Šestáková ◽  
Pavel Hutař
Keyword(s):  
Stress Singularity ◽  
Small Scale ◽  
Small Scale Yielding ◽  
Material Interface ◽  
Element Analysis ◽  
Linear Elastic ◽  
Singularity Exponents ◽  
Singularity Exponent ◽  
Scale Yielding ◽  
Elastic Fracture

Composite materials or generally materials with interfaces are nowadays used in many varied engineering applications. In comparison with classical engineering materials the existence of material interface causes locally different stress distribution, which can strongly influence behaviour of whole structure and can have an important influence on failure mechanisms of such materials. The paper presented is devoted to the investigation of stress singularity exponents of a crack growing in a bimaterial body perpendicularly to the interface and touching the material interface. Discrepancies between value of stress singularity exponent in the centre of bimaterial body and on the free surface were found. The assumptions of linear elastic fracture mechanics (LEFM) and small scale yielding (SSY) are considered. For numerical calculations finite element analysis was used. Results obtained can contribute to a better understanding of failure of materials with interfaces.

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