Issue 27

A. Kostina et alii, Frattura ed Integrità Strutturale, 27 (2014) 28-37; DOI: 10.3221/IGF-ESIS.27.04

The calculated value of stored energy rate was compared with experimentally determined value. A good agreement between experimental and numerical results in the range of homogeneous plastic deformation was found.

A CKNOWLEDGEMENTS

he experimental investigation of iron specimen was carried out at the Laboratory LAMEFIP ENSAM (Bordeaux, France). The authors thank the professors T. Palin-Luc and N. Saintier for fruitful discussions and support of this experimental work. This work was supported by grant of President of the Russian Federation for support of young Russian scientists and leading scientific schools (MD-2684.2012.1) and scientific project for young researches and PhD students (grant № 13-1 NP-349).

N OMENCLATURE

unit vector in the shear direction

b

c

heat capacity defect energy loading force

E F

elastic shear modulus

G IR

infrared

k

heat conductivity

isotropic elastic modulus

K

unit normal vector to the shear plane

l

n

defect density

p 

mesoscopic defect density tensor

intensity of p  heat flux vector

p

q

Q

specific energy dissipation rate integrated over the coordinates

inelastic contribution to the heat microscopic defect tensor specific energy dissipation rate

p Q

s 

S

shift intensity yield stress temperature strain rate

S 

S

y

T V

W W p

distribution function of defects

plastic work

Z

normalizing factor

β

variable characterized extent of material damage

elastic strain tensor

e  

spherical part of the elastic strain tensor

e 

0

deviator part of the elastic strain

e d

 

plastic strain tensor

p  

ρ

density

Cauchy stress tensor stress intensity tensor

 

spherical part of the stress tensor

0 

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