On the influence of cohesive stress-separation laws on elastic stress singularities

1996 ◽  
Vol 44 (3) ◽  
pp. 203-221 ◽  
Author(s):  
G. B. Sinclair
Keyword(s):  
Elastic Stress ◽  
Stress Singularities ◽  
Cohesive Stress ◽  
Stress Separation

Elastic Stress Singularities: Implications for the Attachment of Tendon to Bone

2011 ◽  
Author(s):  
Yanxin Liu ◽  
Victor Birman ◽  
Chanqing Chen ◽  
Stavros Thomopoulos ◽  
Guy M. Genin
Keyword(s):  
Stress Distribution ◽  
Abrupt Change ◽  
Elastic Stress ◽  
Insertion Site ◽  
Stress Singularities ◽  
Local Stresses ◽  
Material Mismatch ◽  
Moduli Of Elasticity

The material mismatch at the attachment of tendon to bone is amongst the most severe for any tensile connection in nature. This is related to the large difference between the stiffness of tendon and bone, whose moduli of elasticity vary by two orders of magnitude. Predictably, such an abrupt change in the stiffness realized over a very narrow insertion site results in high local stresses. One of the implications of the stress distribution is a potential for stress singularities at the junction of the insertion to the bone.

Stress Singularities at Equal Angle Biwedges and Two-Material Composite Half Planes With Rough Interfaces

1976 ◽  
Vol 43 (1) ◽  
pp. 64-68 ◽  
Author(s):  
P. S. Theocaris ◽  
E. E. Gdoutos
Keyword(s):  
Friction Coefficient ◽  
Half Plane ◽  
Elastic Stress ◽  
Stress Singularity ◽  
Complex Variables ◽  
The Other ◽  
Stress Singularities ◽  
Equal Angle ◽  
Common Interface ◽  
Material Composite

The order of the elastic stress singularity developed either at the apex of an equal angle biwedge or at the vertex of a composite half plane is studied for the case when the two wedges adhere along their common interface according to Coulomb’s law of friction. The other two faces of the wedges are considered free from tractions in the vicinity of the apices of both types of biwedges. The study uses the well-known theory of complex variables, and the numerical results obtained for some special geometrical configurations and particular values of the friction coefficient are presented in Dundurs’ parallelograms which cover all physically interesting material combinations of the two wedges.

On Crack-Tip Stresses as Crack-Tip Radii Decrease

2010 ◽  
Vol 78 (1) ◽  
Author(s):  
G. B. Sinclair ◽  
G. Meda ◽  
B. S. Smallwood
Keyword(s):  
Crack Tip ◽  
Physical Reality ◽  
Test Problems ◽  
Crack Plane ◽  
Elasticity Analysis ◽  
Stress Singularities ◽  
Classical Elasticity ◽  
Cohesive Stress ◽  
Elliptical Holes ◽  
Numerical Approaches

In classical elasticity, when cracks are modeled with stress-free elliptical holes, stress singularities occur as crack-tip root radii go to zero. This raises the question of when crack-tip stresses first start to depart from physical reality as radii go to zero. To address this question, here, cohesive stress action is taken into account as radii go to zero. To obtain sufficient resolution of the key crack-tip fields, two highly focused numerical approaches are employed: finite elements with successive submodeling concentrated on the crack-tip and numerical analysis of a companion integral equation with considerable discretization refinement at the crack-tip. Both numerical approaches are verified with convergence checks and test problems. Results show that for visible cracks, classical elasticity analysis leads to physically sensible stresses, provided that crack-tip radii are accounted for properly. For microcracks with smaller crack-tip radii, however, cohesive stress action also needs to be included if accurate crack-tip stresses are to be obtained. For cracks with yet smaller crack-tip radii, cracks close and stresses throughout the crack plane become uniform.

Anisotropic Elasticity

1996 ◽  
Author(s):  
T. T. C. Ting
Keyword(s):  
Composite Materials ◽  
Elastic Constants ◽  
Piezoelectric Materials ◽  
Anisotropic Materials ◽  
Anisotropic Elasticity ◽  
Stress Singularities ◽  
Comprehensive Survey ◽  
The Subject ◽  
Key Topics ◽  
First Time

Anisotropic Elasticity offers for the first time a comprehensive survey of the analysis of anisotropic materials that can have up to twenty-one elastic constants. Focusing on the mathematically elegant and technically powerful Stroh formalism as a means to understanding the subject, the author tackles a broad range of key topics, including antiplane deformations, Green's functions, stress singularities in composite materials, elliptic inclusions, cracks, thermo-elasticity, and piezoelectric materials, among many others. Well written, theoretically rigorous, and practically oriented, the book will be welcomed by students and researchers alike.

Caustic study on stress singularities in laminated composites under concentrated loads

2004 ◽  
Vol 41 (13) ◽  
pp. 3383-3393 ◽  
Author(s):  
X.F. Yao ◽  
W. Xu ◽  
M.Q. Xu ◽  
G.C. Jin ◽  
H.Y. Yeh
Keyword(s):  
Laminated Composites ◽  
Stress Singularities ◽  
Concentrated Loads
Sign in / Sign up

Export Citation Format

Share Document