Application of the Non-Incremental Approach to Axisymmetric FEM Analysis of Large Strain in Tensor-Based Matrix Form

For the tensor-matrix FEM system of equations describing the final state of large deformations of an incompressible elastic body, a development to solve axisymmetric problems is obtained. Also, analytical expressions for the components of the partial derivatives matrix of the system are obtained. Examples of calculating the everted state of a circular cylinder, as well as analysis of sealing rings are described.

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Publication Details

Journal
Mechanics of Solids
Published
2024-10-01
DOI
https://doi.org/10.1134/s002565442460377x
Citations
1
Primary Topic
Elasticity and Material Modeling
Type
article
Field-Weighted Citation Impact
0.18
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article

Application of the Non-Incremental Approach to Axisymmetric FEM Analysis of Large Strain in Tensor-Based Matrix Form

V. V. Chekhov
1 citations
Mechanics of Solids
Elasticity and Material Modeling
0.18
article

Application of the Non-Incremental Approach to Axisymmetric FEM Analysis of Large Strain in Tensor-Based Matrix Form

V. V. Chekhov
article en
1 citations

Abstract

For the tensor-matrix FEM system of equations describing the final state of large deformations of an incompressible elastic body, a development to solve axisymmetric problems is obtained. Also, analytical expressions for the components of the partial derivatives matrix of the system are obtained. Examples of calculating the everted state of a circular cylinder, as well as analysis of sealing rings are described.

Mechanics of SolidsVol. 59(5)
Research Institute of Agriculture of Crimea (RU)
Gender equality
Openalex Percentile: Top 49%
Elasticity and Material Modeling
0.18
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