Plane problem for a piecewise-homogeneous anisotropic body with elastic inclusion in the form of a strip

1999 ◽  
Vol 35 (6) ◽  
pp. 757-769 ◽  
Author(s):  
H. T. Sulym ◽  
S. P. Shevchuk
Keyword(s):  
Plane Problem ◽  
Elastic Inclusion ◽  
Anisotropic Body ◽  
Homogeneous Anisotropic Body

Plane problem for an anisotropic body with a sharp-ended anisotropic inclusion

1983 ◽  
Vol 19 (2) ◽  
pp. 135-142 ◽  
Author(s):  
L. T. Berezhnitskii ◽  
I. T. Denisyuk
Keyword(s):  
Plane Problem ◽  
Anisotropic Body ◽  
Anisotropic Inclusion

Plane problem for an anisotropic body containing an inclusion surrounded with an elastic layer

2000 ◽  
Vol 36 (3) ◽  
pp. 340-350
Author(s):  
L. T. Berezhnyts’kyi ◽  
L. P. Mazurak ◽  
P. S. Kachur
Keyword(s):  
Plane Problem ◽  
Elastic Layer ◽  
Anisotropic Body

Plane problem of a strengthened anisotropic body

1975 ◽  
Vol 11 (12) ◽  
pp. 1325-1327 ◽  
Author(s):  
L. A. Tolokonnikov ◽  
S. P. Yakovlev ◽  
V. D. Kukhar'
Keyword(s):  
Plane Problem ◽  
Anisotropic Body

Cosserat Modeling of Size Effects in Crystalline Solids

2000 ◽  
Vol 653 ◽  
Author(s):  
Samuel Forest
Keyword(s):  
Stress State ◽  
Size Effects ◽  
Elastic Inclusion ◽  
Characteristic Size ◽  
Infinite Matrix ◽  
Crystalline Solids ◽  
Generalized Continua ◽  
Absolute Size ◽  
Kink Bands ◽  
The Matrix

AbstractThe mechanics of generalized continua provides an efficient way of introducing intrinsic length scales into continuum models of materials. A Cosserat framework is presented here to descrine the mechanical behavior of crystalline solids. The first application deals with the problem of the stress field at a crak tip in Cosserat single crystals. It is shown that the strain localization patterns developping at the crack tip differ from the classical picture : the Cosserat continuum acts as a bifurcation mode selector, whereby kink bands arising in the classical framework disappear in generalized single crystal plasticity. The problem of a Cosserat elastic inclusion embedded in an infinite matrix is then considered to show that the stress state inside the inclusion depends on its absolute size lc. Two saturation regimes are observed : when the size R of the inclusion is much larger than a characteristic size of the medium, the classical Eshelby solution is recovered. When R is much small than the inclusion, a much higher stress is reached (for an inclusion stiffer than the matrix) that does not depend on the size any more. There is a transition regime for which the stress state is not homogeneous inside the inclusion. Similar regimes are obtained in the study of grain size effects in polycrystalline aggregates of Cosserat grains.

Sign in / Sign up

Export Citation Format

Share Document