CALCULATION OF ELASTOMERIC COLLAR IN TERMS OF NONLINEAR DEFORMING

Details

Parent Category: Geo-Technical Mechanics, 2015

Category: Geo-Technical Mechanics, 2015, Issue 121

UDC 678.4.66:621.81

Authors:

Vasko V.M., M.S. (Tech.),

Grebenyuk S.N., Ph. D. (Tech.),

Reshevskaya K.S., Ph. D. (Tech.), Associate Professor (ZNU),

Dorokhov M.A., Doctoral Student (IFNUOG),

Agaltsov G.N., M.S (Tech.) (IGTM NAS of Ukraine)

Abstract.

We consider stress-strain state determination method for a rubber collar-type packer. The presence of large displacements and deformations while using constructions made of elastomers requires taking into account the geometric nonlinearity. Nonlinear problem is reduced to a sequence of solutions of the linear problem by using stepper iterative algorithms. Finite elements approach of three-dimensional problem is proposed taking geometric nonlinearity into account. The approach is in sequential solving a number of linear problems with conversion at each step of the stiffness matrix of the whole structure. An example is adduced of the numerical solution of the problem of deformation of the elastomer collar in three-dimensional statement. Components of the stress-strain state of a rubber collar-type packer are obtained as a result of solving the problem taking into account large deformations occurring during a pressurization capacity test of oil and gas wells.

Keywords:

stress-strain state, nonlinearity, rubber, collar-type packer, collar

References:

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2. Davydenko, D.F. (1953), “About the one new method for numerical solving systems of nonlinear equations”, Reports of the USSR Academy of Sciences, vol. 83, no. 4, pp. 601-602.

3. Kantorovich, L.V. and Krylov, V.I. (1962), Priblizhennyye metody vysshego analiza [Approximate methods of higher analysis], Fizmatgiz, Moscow, USSR.

4. Kirichevskiy, V.V. (2003), Metod konechnykh elementov v mekhanike elastomerov [Finite element method in mechanics of elastomers], Naukova dumka, Kiev, Ukraine.

5. Marvalova, B. (2007), “Viscoelastic properties of filled rubber. Experimental observations and material modelling”, Engineering Mechanics, vol. 14, no. 1/2, pp. 81-89.

About the authors:

Vas’ko Viktoriya Mikhaylovna, Master of Science, Teacher of the Department of Mathematical Modelling in Zaporizhzhya National University (ZNU), Zaporizhzhya, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Grebenyuk Sergey Nikolayevich, Candidate of Technical Sciences (Ph. D.), Head of the Department of Mathematical Analysis in Zaporizhzhya National University (ZNU), Zaporizhzhya, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Reshevskaya Yekaterina Sergeyevna, Candidate of Technical Sciences (Ph. D.), Associate Professor of Information Technologies in Zaporizhzhya National University (ZNU), Zaporizhzhya, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Dorokhov Maksim Anatol’yevich, Master of Science, Doctoral Student of the Department Oil and Gas Equipment in Ivano-Frankovsk National Technical University of Oil and Gas (IFNUOG), Ivano-Frankovsk, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Agaltsov Gennady Nikolaevich, Master of Science, Junior Researcher of Department of Elastomeric Component Mechanics in Mining Machines, M.S. Polyakov Institute of Geotechnical Mechanics under the National Academy of Science of Ukraine (IGTM, NASU), Dnepropetrovsk, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

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