539.3

.. , .. , ..
: ; ; ; ; . , , . , -, , . , . .
. () : (, ), , , , - , . . [1].
, , , , ( . . - ). , , . . , ( ) 2-, 1-. ().
1. . , , [2]. .
, [3-6]. , . ( ) , ( ) -. () , - .
-
( , - ):
= + + = = : - Dm),
= ((),(),()), = 1,..., N,
= ((), 0()), = 1,..., N,
= (;"), (),()), = ,..., N, = - + = :de = : ^ - dln),
() = 0
( )(
(X),
(() - ()), = 1,...,,
(1)
= /(0), ()), , = 1,..., , = ,
, - ; , - ; , , 1, , (I, I" - , , ; - , ,
[1] ; ^, -
, , , - ; N - , ; (), () - - ; (,) - - ; () -
=1
1/

1623
; - .
2. .
, -, . . . - .
. 1. () (),
. 1 . , , , -.
. 1 . , ( - 32 , - 20 ). , ~15 %, , 74 . ,
.
. , , -, , .

1. .., .., .. : . .: , 1982.
2. .., .. : . . 1. // . . : - , 2011. 1. . 5-45.
3. .., .. : . . 2. // . . : - , 2011. 2. . 101-131.
4. .., .. : . . 3. , // . . : - , 2011. 3. . 146-197.
5. .., .., .., .. // . : , 2012. . 15. 1. . 33-56.
6. .., .., .. - // - . - . 2010. 2. . 110-119.
: ( 12-08-01052-, 12-08-33082-__, 12-01-31094-_, 13-01-00242-,
13-01-96005-__), -390.2013.1, - 2009-2013 . ( 1.2.2, 14.B37.21.0382).
10 2013 .
Volegov P.S., Trusov P.V., Yanz A.Y. RESIDUAL MESO-STRESSES IN TWO-LEVEL PHYSICAL PLASTICITY THEORIES OF POLYCRYSTALS
The problems related to the construction of multi-level mathematical models of inelastic deformation of crystalline materials based on physical theories plasticity are considered. The example of the two-level model for description the severe plastic deformation of fcc polycrystals, for example, in processes of metal forming is given. The issues relating to the description of hardening and rotations of crystal lattices of the grains are considered. The focus is on the formation of residual meso-stresses in individual grains in the case of polycrystalline stress relief with a representative volume in general.
Key words: physical theories of plasticity; polycrystal; hardening; rotation; residual stresses.
1624