Elastic Fields Around the Cohesive Zone of a Mode III Crack Perpendicular to a Bimaterial Interface

2007 ◽  
Vol 74 (5) ◽  
pp. 1049-1052 ◽  
Author(s):  
W. Zhang ◽  
X. Deng
Keyword(s):  
Cohesive Zone ◽  
Bimaterial Interface ◽  
Mode Iii ◽  
Displacement Fields ◽  
Mode Iii Crack ◽  
Elliptic Coordinates ◽  
Elastic Fields ◽  
Stress And Displacement Fields

Asymptotic stress and displacement fields near the cohesive zone ahead of a semi-infinite Mode III crack normal to a bimaterial interface are derived using elliptic coordinates.

The Stress Fields Caused by a Circular Cylindrical Inclusion

1992 ◽  
Vol 59 (2S) ◽  
pp. S107-S114 ◽  
Author(s):  
Hisao Hasegawa ◽  
Ven-Gen Lee ◽  
Toshio Mura
Keyword(s):  
Exact Solutions ◽  
Strain Energy ◽  
Elastic Solid ◽  
Cylindrical Inclusion ◽  
Stress Fields ◽  
Axisymmetric Stress ◽  
Displacement Fields ◽  
Elastic Fields ◽  
Stress And Displacement Fields ◽  
Interior Points

Exact solutions are presented in closed forms for the axisymmetric stress and displacement fields caused by a solid or hollow circular cylindrical inclusion (with uniform axial eigenstrain prescribed) in an infinite elastic solid. The same expressions are obtained for the elastic fields for interior and exterior points of the inclusion. Although Eshelby’s solutions for ellipsoidal inclusions are uniform in the interior points, the present solutions do not show the uniformity. When the length of inclusion becomes infinite, the present solutions agree with Eshelby ’s results. The strain energy is also shown. The method of Green’s function is used.

General Crack-Tip Fields for Stationary and Steadily Growing Interface Cracks in Anisotropic Bimaterials

1993 ◽  
Vol 60 (1) ◽  
pp. 183-189 ◽  
Author(s):  
X. Deng
Keyword(s):  
Crack Tip ◽  
Antiplane Shear ◽  
Polar Coordinates ◽  
Bimaterial Interface ◽  
Series Expansions ◽  
Displacement Fields ◽  
Interface Cracks ◽  
Stress And Displacement Fields ◽  
Special Cases ◽  
Anisotropic Bimaterials

This study builds upon some recent results in the literature regarding the asymptotic behavior of bimaterial interface cracks, and gives the general form, both oscillatory and nonoscillatory, of the crack-tip stress and displacement fields for stationary and steadily growing interface cracks in anisotropic bimaterials, which are equivalent to complete Williams-type series expansions. Special cases, such as cracks in homogeneous anisotropic materials and interface cracks with decoupled antiplane shear and in-plane deformations, are discussed briefly. Explicit series expansions of the stress and displacement fields in crack-tip polar coordinates are derived for both stationary and steadily propagating interface cracks in isotropic bimaterials.

A Crack Model of a Bone Cement Interface

1984 ◽  
Vol 106 (3) ◽  
pp. 235-243 ◽  
Author(s):  
J. P. Clech ◽  
L. M. Keer ◽  
J. L. Lewis
Keyword(s):  
Bone Cement ◽  
Cohesive Zone ◽  
Edge Crack ◽  
Crack Problem ◽  
Bimaterial Interface ◽  
Fracture Mechanisms ◽  
Homogeneous Material ◽  
Crack Model ◽  
Cement Interface ◽  
Crack Faces

This paper is concerned with the fracture mechanics of a bone-cement interface that includes a cohesive zone effect on the crack faces. This accounts for the experimentally observed strengthening mechanism due to the mechanical interlock between the crack faces. Edge crack models are developed where the cohesive zone is simulated by a continuous or a discrete distribution of linear or nonlinear springs. It is shown that the solution obtained by assuming a homogeneous material is fairly close to the exact solution for the bimaterial interface edge crack problem. On the basis of that approximation, the analysis is conducted for the problem of two interacting edge cracks, one at the interface, and the other one in the cement. The small crack that was observed to initiate in the cement, close to the bone-cement interface, does not affect much the mode I stress-intensity factor at the tip of the interface crack. However it may grow, leading to a catastrophic breakdown of the cement. The analysis and following discussion point out an interdependency between bone-cement interface strength and cement strength not previously appreciated. The suggested crack models provide a framework for quantifying the fracture mechanisms at the bone-cement interface.

Sign in / Sign up

Export Citation Format

Share Document