Finite element method in mechanics of deformable bodies

Vainberg, D. V.; Gorodetskii, A. S.; Kirichevskii, V. V.; Sakharov, A.

doi:10.1007/bf00886062

Cited by 6 publications

(4 citation statements)

References 49 publications

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“…Firstly, it can be assumed that this injected mortar has its own (compared to hardened concrete) mechanical characteristics. The change in these characteristics can be carried out discretely, since the proposed calculation method is based on the use of consistent equations of the nonlinear theory of elasticity [25].…”

Section: Algorithm For Determining Soil Settlement In the Zone Of Com...mentioning

confidence: 99%

“…Secondly, in order not to introduce mass balance equations into the general system of resolving equations, consider the injected concrete as a thermoelastic material with a reduced (fictitious) coefficient of thermal expansion, and for the rest of the soils in which the solution is injected, this coefficient is considered zero [25]:…”

Section: Algorithm For Determining Soil Settlement In the Zone Of Com...mentioning

confidence: 99%

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Nonlinear deformation of concrete structure elements taking into account compensation grouting and fracturing

Kuznetsova,

Berezhnoi,

Ekhsayem

et al. 2023

E3S Web Conf.

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A formulation of the problem of compensatory injection was implemented using consistent equations of the elastic geometrically nonlinear three-dimensional theory. Algorithm for numerical solution was developed within the framework of the finite element method. A technique had been developed for the processes of crack formation in elements with prestressed reinforced polymer composite. A model problem was solved and comparison with experimental data was made.

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Section: Algorithm For Determining Soil Settlement In the Zone Of Com...mentioning

confidence: 99%

Section: Algorithm For Determining Soil Settlement In the Zone Of Com...mentioning

confidence: 99%

Nonlinear deformation of concrete structure elements taking into account compensation grouting and fracturing

Kuznetsova,

Berezhnoi,

Ekhsayem

et al. 2023

E3S Web Conf.

View full text Add to dashboard Cite

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“…In a number of researches a solution of the contact problem is proposed without usage of any analogies and docking elements [19][20][21]. In contrast to the previous approach, where contact elements combine interacting bodies into one system, in these approach elements are characterized by a separate consideration of contacting bodies.…”

Section: Introductionmentioning

confidence: 99%

Contact interaction of deformable continuous media of various physical nature

Kuznetsova,

Berezhnoi,

Ekhsayem

et al. 2023

E3S Web Conf.

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An approach is proposed for modeling the contact interaction processes of reinforcement bundles with concrete, as well as for underground elements of foundations and buildings reinforced foundations by compensatory injection with adjacent soil. A special contact finite element of a continuous medium with specific properties has been constructed which makes it possible to simulate the elastic interaction of two contacting surfaces their displacement relative to each other and separation. The developed algorithm allows within the framework of a single finite element method, to calculate the joint deformation of the elements of metal reinforcing elements, concrete and “weak” soils. The proposed calculation methods are implemented within the consistent equations framework of a geometrically nonlinear three-dimensional elasticity theory. On the basis of the proposed methods, the problem of "pulling out" a steel reinforcement bar from a concrete block was solved, a comparison was made with experimental data and with the results obtained in publicly available application software packages, a good agreement was noted.

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“…In recent years, for analysis of the stress-strain state of rock foundations wide use has been made of the finite element method, which permits taking into account the nonuniformRy and anisotrepy of the rock, as well as the complex geometry of the rock mass [5][6][7][8][9][10][11][12].…”

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confidence: 99%