A note on the crack-plane stress field method for analysing SIFs and its application to a concentric penny-shaped crack in a circular cylinder opened up by constant pressure

1994 ◽  
Vol 66 (4) ◽  
pp. R73-R76 ◽  
Author(s):  
Wang Qizhi
Keyword(s):  
Stress Field ◽  
Circular Cylinder ◽  
Plane Stress ◽  
Constant Pressure ◽  
Field Method ◽  
Crack Plane ◽  
Penny Shaped Crack ◽  
Shaped Crack

Near-Tip Fields for Penny-Shaped Cracks in Magnetoelectroelastic Media

2006 ◽  
Vol 312 ◽  
pp. 41-46 ◽  
Author(s):  
Bao Lin Wang ◽  
Yiu Wing Mai
Keyword(s):  
Closed Form ◽  
Transversely Isotropic ◽  
Crack Plane ◽  
Axially Symmetric ◽  
Crack Configuration ◽  
Penny Shaped Crack ◽  
Electric And Magnetic Fields ◽  
Shaped Crack ◽  
Transversely Isotropic Solids ◽  
Isotropic Solids

This paper solves the penny-shaped crack configuration in transversely isotropic solids with coupled magneto-electro-elastic properties. The crack plane is coincident with the plane of symmetry such that the resulting elastic, electric and magnetic fields are axially symmetric. The mechanical, electrical and magnetical loads are considered separately. Closed-form expressions for the stresses, electric displacements, and magnetic inductions near the crack frontier are given.

The effect of couple stresses on the stress field around a penny-shaped crack

1984 ◽  
Vol 25 (2) ◽  
pp. 109-119 ◽  
Author(s):  
J. Sl�dek ◽  
V. Sl�dek
Keyword(s):  
Stress Field ◽  
Couple Stresses ◽  
Penny Shaped Crack ◽  
Shaped Crack

Further Investigation and Application of the Principle of Correspondence Between Elastic and Piezoelectric Problems

2002 ◽  
Vol 731 ◽  
Author(s):  
Edgar Karapetian ◽  
Larissa Gorbatikh
Keyword(s):  
Transversely Isotropic ◽  
Piezoelectric Medium ◽  
Crack Plane ◽  
Isotropic Materials ◽  
Penny Shaped Crack ◽  
Tangential Forces ◽  
Shaped Crack ◽  
Transversely Isotropic Materials ◽  
Plane Of Isotropy

AbstractIn the present work, the recently established principle of correspondence between the elastic and the piezoelectric problems for the transversely isotropic materials has been applied to obtain the solution of the problem of interaction of two tangential forces and a penny-shaped crack. The problem under consideration is described as follows: a penny-shaped crack in the unbounded piezoelectric medium is interacting with two tangential forces of the same magnitude acting in the same direction and applied arbitrarily but symmetrically with respect to the crack plane, which is a plane of isotropy. Some further investigation of the principle of correspondence is made and the important limiting conditions are stated.

A note on the problem of the penny-shaped crack

1965 ◽  
Vol 61 (2) ◽  
pp. 609-611 ◽  
Author(s):  
Ian N. Sneddon
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Constant Pressure ◽  
Cylindrical Coordinates ◽  
Lower Face ◽  
Penny Shaped Crack ◽  
Shaped Crack ◽  
Image Position ◽  
Distribution Of Stress

1. The problem of determining the distribution of stress in the neighbourhood of a penny-shaped crack defined in terms of cylindrical coordinates (ρ, φ, z) by 0 ≤ ρ ≤ α, z = 0, has been considered by Sneddon ((2)) and Sack ((1)). In the latter paper the solution is derived only in the case in which the stress field is due to the application of constant pressure to the faces of the crack. In the former paper the analysis given applies to an axisymmetric distribution of pressure p(ρ) applied to both the upper and lower face of the penny-shaped cavity, but the calculation of the stress intensity factorand of the energy W required to open up the crack is a complicated matter even in the case in which p(ρ) is a constant.

Thermal Stress in a Finitely Deformed Incompressible Elastic Medium Containing a Penny-Shaped Crack

2003 ◽  
Vol 19 (1) ◽  
pp. 143-147
Author(s):  
Y. M. Tsai
Keyword(s):  
Stress Intensity Factor ◽  
Thermal Stress ◽  
Stress Intensity ◽  
Thermal Stresses ◽  
Elastic Solid ◽  
Crack Plane ◽  
Lateral Stress ◽  
Penny Shaped Crack ◽  
Shaped Crack ◽  
Small Deformations

ABSTRACTThe thermal stress for a penny-shaped crack contained in an infinite isotropic elastic solid initially subjected to an axisymmetrical tension of any amount at infinity is investigated using the techniques of Hankel transforms and multiplying factors. The effect that the lateral normal stress has on the thermal stresses is studied on the basis of the theory of small deformations superposed on finite deformation. Symmetrical thermal loadings are applied over the crack surfaces. For the case of constant temperature over the crack surfaces, expressions for the crack shape and thermal stresses in the crack plane are obtained in closed forms. The stress intensity factor is also obtained and shown to be dependent on the lateral stress.

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