THE PROBLEM OF A LINER TAPE FAILING ONTO AN INCLINED SUPPORT

The problem of numerical simulation of the contact interaction of a metal tape moving at a speed of about 0.5 km/s with a fixed inclined support for a time of about 100 𝜇s is considered. A two-dimensional approximation was used; an elastoplastic body model for large deformations was used to describe the tape and support. To take into account the boundary conditions on contacting surfaces, an iterative algorithm related to Neumann–Dirichlet type methods was used in the calculations. The finite element method is used for spatial discretization. The calculation results are presented. A number of model one-dimensional problems are considered, which make it possible to qualitatively evaluate the results obtained in the two-dimensional case.

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Journal
Дифференциальные уравнения
Published
2024-10-10
DOI
https://doi.org/10.31857/s0374064124070041
Primary Topic
Contact Mechanics and Variational Inequalities
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article
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article

THE PROBLEM OF A LINER TAPE FAILING ONTO AN INCLINED SUPPORT

Александр Сергеевич Родин, M P Galanin
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Дифференциальные уравнения
Contact Mechanics and Variational Inequalities
article

THE PROBLEM OF A LINER TAPE FAILING ONTO AN INCLINED SUPPORT

Александр Сергеевич Родин, M P Galanin
article en

Abstract

The problem of numerical simulation of the contact interaction of a metal tape moving at a speed of about 0.5 km/s with a fixed inclined support for a time of about 100 𝜇s is considered. A two-dimensional approximation was used; an elastoplastic body model for large deformations was used to describe the tape and support. To take into account the boundary conditions on contacting surfaces, an iterative algorithm related to Neumann–Dirichlet type methods was used in the calculations. The finite element method is used for spatial discretization. The calculation results are presented. A number of model one-dimensional problems are considered, which make it possible to qualitatively evaluate the results obtained in the two-dimensional case.

Дифференциальные уравненияVol. 60(7)
Keldysh Institute of Applied Mathematics (RU)
Openalex Percentile: Top 79%
Contact Mechanics and Variational Inequalities
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