Morphological Instability of a Transversally Isotropic Solid Cylinder Under Stress

2015 ◽  
Vol 82 (3) ◽  
Author(s):  
Jérôme Colin
Keyword(s):  
Surface Diffusion ◽  
Linear Stability ◽  
Uniaxial Stress ◽  
Instability Threshold ◽  
Solid Cylinder ◽  
Morphological Instability ◽  
Isotropic Cylinder ◽  
Isotropic Solid ◽  
Transversally Isotropic

The linear stability of the surface of a transversally isotropic cylinder submitted to uniaxial stress has been theoretically investigated with respect to the development by surface diffusion of longitudinal fluctuations of its radius. The effect of stress has been characterized on the instability threshold.

LARGE-SCALE DISTORTIONS OF SQUARE PATTERNS

1994 ◽  
Vol 04 (05) ◽  
pp. 1147-1154 ◽  
Author(s):  
ALEXANDER NEPOMNYASHCHY
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Large Scale ◽  
Instability Threshold ◽  
Amplitude Equations ◽  
Wave Disturbances ◽  
Long Wave

Stationary square patterns are typical in several instability problems. Near the instability threshold, the evolution of long-wave disturbances can be described by a system of amplitude equations resembling the Newell-Whitehead-Segel equations. These equations are used for the linear stability analysis and the investigation of the defects.

Bridging the macro to mesoscale: Evaluating the fourth-order anisotropic damage tensor parameters from ultrasonic measurements of an isotropic solid under triaxial stress loading

2018 ◽  
Vol 28 (2) ◽  
pp. 219-232 ◽  
Author(s):  
Louise Olsen-Kettle
Keyword(s):  
Fourth Order ◽  
Damage Mechanics ◽  
Continuum Damage Mechanics ◽  
Uniaxial Stress ◽  
Anisotropic Damage ◽  
Internal Damage ◽  
Isotropic Solid ◽  
Selection Of Variables ◽  
Transverse Isotropic ◽  
Selection Of

One of the most challenging problems which arises in continuum damage mechanics is the selection of variables to describe the internal damage. Many theories have been proposed and various types of damage variables ranging from scalar to vector to tensor quantities have been used. In this paper we consider anisotropic damage and the most general form for damage by using a fourth-order tensor for the damage variables. We demonstrate how experimentally measured quantities can be related to the internal tensorial damage variables. We apply this analysis to experiments of an initially isotropic solid becoming transverse isotropic under triaxial or uniaxial stress loading.

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