TY - JOUR

T1 - Condition for transition to an unstable state (necking) of a specimen in tension

AU - Arutyunyan, A.R.

AU - Arutyunyan, R.A.

N1 - Funding Information: This work was supported by the Russian Scientific Foundation (Grant No. 17-79-30056).

PY - 2018/4/13

Y1 - 2018/4/13

N2 - On the stress-strain curve obtained in simple tension experiments, there is a region of instability due to the neck formation. In the theory of plasticity, conditions for the transition to an unstable state and appearance of the maximum point on the stress-strain diagram are determined. These condition were derived under the assumption of the material incompressibility. However, this assumption cannot be justified, since in the neck region, there are numerous damages (pores, micro-cracks), i.e., the material is compressible. With the current coefficient of lateral deformation, the authors formulate a condition for transition to an unstable state in a compressible plastic medium.

AB - On the stress-strain curve obtained in simple tension experiments, there is a region of instability due to the neck formation. In the theory of plasticity, conditions for the transition to an unstable state and appearance of the maximum point on the stress-strain diagram are determined. These condition were derived under the assumption of the material incompressibility. However, this assumption cannot be justified, since in the neck region, there are numerous damages (pores, micro-cracks), i.e., the material is compressible. With the current coefficient of lateral deformation, the authors formulate a condition for transition to an unstable state in a compressible plastic medium.

UR - http://www.scopus.com/inward/record.url?scp=85046083030&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/991/1/012005

DO - 10.1088/1742-6596/991/1/012005

M3 - Conference article

VL - 991

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012005

ER -