NUMERICAL METHODS FOR SOLUTION OF LINEAR AND NONLINEAR PROBLEMS OF POLYMER GELS MECHANICS

Authors

  • E.Ya. Denisyuk Institute of Continuous Media Mechanics of the UB of RAS

DOI:

Keywords:

polymer gels, mixture theory, swelling, thermodynamic equilibrium, solvents, osmotic stress tensor

Abstract

Boundary problems, describing the stress-strained state of statically loaded polymer gels under mechanical and thermodynamic equilibrium, are formulated. Their variational formulation is given. Their finite element approximation is implemented based on the mixed finite element method. The implementation of the proposed algorithms is carried out. The effects and phenomena, occurring in polymer gels under deformation in a solvent, are examined by numerical simulation.

Supporting Agencies
Работа выполнена при финансовой поддержке РФФИ и Правительства Пермского края (грант № 13-01-96035)

Author Biography

  • E.Ya. Denisyuk, Institute of Continuous Media Mechanics of the UB of RAS
    доктор физико-математических наук, старший научный сотрудник, Институт механики сплошных сред УрО РАН (ИМСС УрО РАН)

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Published

2016-12-29

Issue

No. 4 (2016)

Section

Research: theory and experiment

How to Cite

Denisyuk, E. . (2016). NUMERICAL METHODS FOR SOLUTION OF LINEAR AND NONLINEAR PROBLEMS OF POLYMER GELS MECHANICS. Perm Federal Research Centre Journal, 4, 17-21. https://journal.permsc.ru/index.php/pscj/article/view/PSCJ2016n4p3