Antiplane Axisymmetric Creep Deformation of Incompressible Medium

Firsov, S. V.; Фирсов, Сергей Н.; Prokudin, A. N.

doi:10.17516/1997-1397-2015-8-4-406-415

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Cited by 2 publications

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“…One should note that the validity of equation of incompressibility (12) follows from equation (16). We choose Helmholtz energy as thermodynamic potential in equation (7).…”

Section: Mathematical Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Antiplane Strain of Hardening Elastoviscoplastic Medium

Firsov¹,

Prokudin²,

Фирсов³

2018

J. Sib. Fed. Univ., Math. phys.

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Deforming of hardening elastoviscoplastic medium under the action of variable pressure gradient is considered in this paper. The displacement vector of material points has only vertical component. Mathematical model is based on the theory of large elastoplastic deformations. Differential transport equations of tensors of reversible and irreversible deformations are formulated. Irreversible deformations are split up into plastic and creep deformations. The solution is obtained with the use of analytical and numerical methods. The influence of hardening and viscosity parameters on medium deformation is analyzed.

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“…One should note that the validity of equation of incompressibility (12) follows from equation (16). We choose Helmholtz energy as thermodynamic potential in equation (7).…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Anti-plane strain problem is solved for many material models [11][12][13][14][15]. Present work continues studies [8,16] in which anti-plane strain problem was solved for elastoplastic and viscoelastic materials with the use of the theory [3,4].…”

Section: Introductionmentioning

confidence: 99%