Stress intensity factor for transient thermal stresses in an infinite elastic solid containing an annular crack

1988 ◽  
Vol 58 (1) ◽  
pp. 1-8 ◽  
Author(s):  
N. Noda ◽  
Y. Matsunaga ◽  
H. Nyuko
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Thermal Stresses ◽  
Elastic Solid ◽  
Annular Crack ◽  
Transient Thermal

ELASTODYNAMIC STRESS INTENSITY FACTOR FOR A FINITE CRACK IN ELASTIC SOLID UNDER 3D TRANSIENT LOADING OF MODE I

2013 ◽  
Vol 05 (04) ◽  
pp. 1350044
Author(s):  
XIANHONG MENG ◽  
ZHAOYU BAI ◽  
MING LI
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Integral Transform ◽  
Elastic Solid ◽  
Scattered Wave ◽  
Mode I ◽  
Finite Width ◽  
Infinite Length ◽  
Distance Ratio

In this paper, the three-dimensional dynamic problem for an infinite elastic medium weakened by a crack of infinite length and finite width is analyzed, while the crack surfaces are subjected to mode I transient linear tractions. The integral transform approach is applied to reduce the governing differential equations to a pair of coupled singular integral equations, whose solutions can be obtained with the typical iteration method. The analytical solution of the stress intensity factor when the first wave and the first scattered wave reach the investigated crack tip is obtained. Numerical results are presented for different values of the width-to-longitudinal distance ratio z/l. It is found that the stress intensity factor decreases with the arrival of the first scattered longitudinal wave and increases with the arrival of the first scattered Rayleigh wave and tends to be stable. The static value considering both the first scattered wave and the first wave is about 50% greater than that considering only the first wave, and then the effect of the reflected wave is remarkable and deserves further study.

Study on the Relationship Between Interaction Factors and Stress Intensity Factor for Elliptical Flaws

2017 ◽  
Author(s):  
Kisaburo Azuma ◽  
Yinsheng Li ◽  
Kunio Hasegawa
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Crack Front ◽  
Elastic Solid ◽  
Element Analysis ◽  
Linear Elastic ◽  
Close Proximity ◽  
Interaction Factors ◽  
The Relationship

The interaction of multiple flaws in close proximity to one another may increase the stress intensity factor of the flaw in structures and components. This interaction effect is not distributed uniformly along the crack front. For instance, the strongest interaction is generally observed at the point closest to a neighboring flaw. For this reason, the closest point could show a higher value of the stress intensity factor than all other points in some cases, even if the original value at the point of the single flaw is relatively low. To clarify the condition when the closest point shows the maximum stress intensity factor, we investigated the interaction of two similar elliptical flaws in an infinite model subjected to remote tension loading. The stress intensity factor of the elliptical flaws was obtained by performing finite element analysis of a linear elastic solid. The results indicated that the interaction factors along the crack front can be expressed by a simple empirical formula. Finally, we show the relationship between geometrical features of the flaw and the stress intensity factor at the closest point to a neighboring flaw.

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.

The Magnetoelastic Problem for a Soft Ferromatnetic Elastic Half-Plane with a Crack and a Constant Magneic Induction

2009 ◽  
Vol 25 (1) ◽  
pp. 95-102 ◽  
Author(s):  
C.-S. Yeh ◽  
C.-W. Ren
Keyword(s):  
Magnetic Field ◽  
Stress Intensity Factor ◽  
Free Surface ◽  
Stress Intensity ◽  
Stress State ◽  
Intensity Factor ◽  
Half Plane ◽  
Elastic Solid ◽  
Soft Ferromagnetic ◽  
The Magnetic Field

AbstractThe stress state of a magnetized elastic half-plane with a uniformly pressurized crack parallel to the free surface subjected to a uniform magnetic induction Bo is considered. The linear theory for a soft ferromagnetic elastic solid with muti-domain structure, which has been developed by Pao and Yeh [1] is adopted to investigate this problem. A numerical method is developed to determine the magnetoelastic stress intensity factor. The effect of the magnetic field and the boundary conditions on the magnetoelasitc stress intensity factor are shown graphically and numerically.

Stress Intensity Factor in Alumina-Zirconia Composites by a Hybrid Finite Element Method

2006 ◽  
Vol 324-325 ◽  
pp. 1135-1138 ◽  
Author(s):  
Marco Alfano ◽  
F. Furgiule ◽  
Carmine Maletta
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Thermal Stresses ◽  
Ceramic Materials ◽  
Zirconia Ceramic ◽  
Second Phase ◽  
Hybrid Finite Element Method ◽  
M Phase ◽  
Crack Tips

The present paper describes a numerical method which is able to calculate the stress intensity factor in two dimensional heterogeneous materials under mechanical and thermal loads. The proposed method uses two hybrid element formulations to model the second phase heterogeneities of the material and the crack tips. The method was used to analyse alumina-zirconia ceramic materials, and the effects due to the zirconia t→m phase transformation and the thermal stresses, which develop during the cooling stage of sintering, were taken into account in calculating the stress intensity factor.

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