IFMASS10

29.Hill, R., (1952):

On Discontinuous Plastic States with Special Reference to Localized Necking

in Thin Sheets

, J.Mech.Phys.Solids Vol. 1, p. 19-30.

30.Johnson, G. R. and Cook W. H. (1983): in: Proceedings of the Seventh Int. Symp. OnBallistics,

The Hague, p. 541.

31.Mićunović, M., (1985):

A Yield Condition for Anisotropic Materials

, Transactions OfSMIRT-8,

243-250, North-Holland, Amsterdam.

32.Mićunović, M., Nikezić and Rubesa, D. (1991): Contract No 4020-90-06 ED-ISP-YU:

Influence

of Irradiation on the Inelastic Behaviour of AISI 316 Austenitic Stainless Steels Described by

Uniaxial Dynamic Experiments and Constitutive Equations

- final report.

33.Mićunović, M. (1992):

On the thermal elastoplastic transition in viscoplasticity of metals

FactaUniv. Ser. Mech. Autom. Contr. and Rob. ( Univ. of Niš), Vol.1, No.2, p.155.

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High strain rate viscoplasticity

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, (in: Solid Mechanics)

Scientific Meetings of the Serbian Academy of Sciences and Arts, Dept.Techn.Sci.,

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Biaxial strength on beryllium and

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, Report AFML-TR-74-172.

A. STRESS AND STRAIN MEASURES

A.1. General stress and strain measures used to describe plastic behaviour

Kröner's decomposition rule:

FൌF

ா

௉

ܨ ,

ா

ൌ ሾ1 ൅

ሺΘ െ Θ

଴

ሻሿF

௘

(A.1)

Deformation gradient tensor:

Fൌ1൅GRAD uሬԦ

(A.2)

Fൌ

ۖۖ۔ ۖ

1 ൅ ߲

ଵ

߲ܺ

ଵ

߲ܺ

ଶ

ଵ

߲ܺ

ଷ

ଶ

߲ܺ

ଵ

1 ൅ ߲

ଶ

߲ܺ

ଶ

߲ܺ

ଷ

߲ܺ

ଵ

ଷ

߲ܺ

ଶ

1 ൅ ߲

ଷ

߲ܺ

ଷ

ۙۖ ۘ ۖ ۗ

൝ 1 ൅

ଵଵ

ଵଶ

ଵଷ

ଶଵ

1 ൅

ଶଶ

ଶଷ

ଷଵ

ଷଶ

1 ൅

ଷଷ

ൡ

Figure A1: Kröner's deformation decomposition