Modeling of large elastoviscoplastic deformations with thermophysical effects taken into account

Буренин, А. В.; Kovtanyuk, L. V.; Panchenko, G. L.

doi:10.3103/s0025654410040084

Cited by 9 publications

(3 citation statements)

References 4 publications

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“…where f is a plastic potential. In order to define source of irreversible deformations in transport equations we need connect rates of creep (8) and plastic flow (9). It should be noted that the source of irreversible deformations is defined differently for regions of plastic flow, viscoelastic deformation and plastic unloading.…”

Section: Mathematical Formulationmentioning

confidence: 99%

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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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Section: Mathematical Formulationmentioning

confidence: 99%

“…Previously a number of model initial-boundary value problems for the theory were solved analytically [5][6][7][8]. Furthermore the theory has been generalized for non-isothermal and viscous deformations [9,10]. Detailed derivation of the equations of the theory and the main results were presented [1].…”

Section: Introductionmentioning

confidence: 99%

Antiplane Strain of Hardening Elastoviscoplastic Medium

Firsov¹,

Prokudin²,

Фирсов³

2018

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

View full text Add to dashboard Cite

show abstract

“…Несмотря на то что существует много работ, посвященных построению теории больших упругопластических деформаций [5][6][7][8][9][10][11], получено небольшое количество решений краевых задач такой теории [7,[12][13][14][15][16][17]. Решений задач, в которых учитывается связанность процессов деформирования и теплопередачи, еще меньше [18][19][20].…”

Section: Doi: 1015372/pmtf20150410unclassified