A Mathematical Model of the Field of the Strain Tensor in Terms of Deformation of the Flat Shell Structures

Abstract:

The article considers the topic of mechanics of a deformable solid. Mathematical modeling of the process of deformation of shell structures by deforming a flat sample (part of the shell) under conditions of a plane stress state with a discontinuous field of displacement velocities is considered. Analytical solutions were obtained for the fields of strain tensors observed in shells of various materials during their deformation. A comparative analysis is carried out under various deformation states. Such decisions are due to the need to obtain deformation fields at various points of the shells used at objects of various directions (military, industrial, etc.) and there are significant difficulties in determining the strain fields by numerical methods (for example, the finite element method).

• Periodical: Materials Science Forum (Volume 992)
• Pages: 870-875
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.992.870
• Online since: May 2020
• Authors: A.L. Grigorieva, Y.Y. Grigoriev, A.I. Khromov, E.P. Zharikova
• Keywords: Finite Strain Tensor, Rigid Plastic Body, Strain Rate Tensor

References

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