Basis-free expressions for families of objective strain tensors, their rates, and conjugate stress tensors

2017 ◽  
Vol 229 (3) ◽  
pp. 1061-1098 ◽  
Author(s):  
S. N. Korobeynikov
1993 ◽  
Vol 308 ◽  
Author(s):  
L. Maniguet ◽  
M. Ignat ◽  
M. Dupeux ◽  
J.J. Bacmann ◽  
Ph. Normandon

ABSTRACTThe determination by X-ray diffraction of the elastic strain tensors and the corresponding stress tensors in uniform films and patterned lines of tungsten was used to investigate the effect of line width. The stresses were found to increase with increasing line width. These experimental results are discussed with respect to the values obtained from a model using a distributed force in the line. The results of the calculations are in agreement with the X-ray measurements. The edge effects appear to be significant for tungsten lines.


Volume 1 ◽  
2004 ◽  
Author(s):  
K. Behfar ◽  
A. Sheshmani ◽  
R. Naghdabadi

In this paper, a general type of Eshelby-like stress tensor is defined which is based on the right stretch tensor and is equal to the product of a general class of strain and the corresponding conjugate stress tensor. The Eshelby-like stress tensor depending on the fact that from which side the stress tensor is multiplied by, is categorized into the right-weighted and left-weighted ones. General relations for conjugate strains of Eshelby-like stress tensors are investigated using the method, based on the definition of energy conjugacy and Hill’s principal axis method.


1993 ◽  
Vol 309 ◽  
Author(s):  
L Maniguet ◽  
M. Ignat ◽  
M. Dupeux ◽  
J.J. Bacmann ◽  
Ph. Normandon

AbstractThe determination by X-ray diffraction of the elastic strain tensors and the corresponding stress tensors in uniform films and patterned lines of tungsten was used to investigate the effect of line width. The stresses were found to increase with increasing line width. These experimental results are discussed with respect to the values obtained from a model using a distributed force in the line. The results of the calculations are in agreement with the X-ray measurements. The edge effects appear to be significant for tungsten lines.


Equilibrium thermodynamics for porous media is considered with special emphasis on its basis in pore-scale thermodynamics. It is shown that porosity, the new purely macroscopic variable, enters the relations on the same footing as mass densities and the strain tensors. Biot’s use of elastic energy potential, which lies at the foundation of his theory of poroelasticity, is examined in light of the results obtained here.


2019 ◽  
Vol 2019 (10) ◽  
Author(s):  
Manuela Kulaxizi ◽  
Gim Seng Ng ◽  
Andrei Parnachev
Keyword(s):  

1992 ◽  
Vol 33 (7) ◽  
pp. 2434-2439 ◽  
Author(s):  
K. Worden
Keyword(s):  

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