Microsoft Word - bessonov-Golovashchenko-ud-040320a.doc

<FEFF3053306e8a2d5b9a306f30019ad889e350cf5ea6753b50cf3092542b308030d730ea30d730ec30b9537052377528306e00200050004400460020658766f830924f5c62103059308b3068304d306b4f7f75283057307e305930023053306e8a2d5b9a306 [...] p is the pressure; S is the deviator part of the stress tensor, ⎟⎟ ⎠ ⎞ ⎜⎜ ⎝ ⎛ −= 1 0V VKp , DGBS = (8) V and V0 are actual and original volumes respectively; BD is the deviator part of the left Cauchy-Green [...] of the problem (6)-(9) the new return-map algorithm was applied. Taking into account the equations (8), we can transform the condi- tion (9) in the form 2 2 2 2 3 k G )B(J y D ≡≤− σ (11) where k 2 is a …