Method of anisotropic deformation of elastic materials based on free-form patches

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How to Cite
Vyatkin, S. I., & Dolgovesov, B. S. (2023). Method of anisotropic deformation of elastic materials based on free-form patches. BOHR Journal of Biocomputing and Nano Technology, 1(2), 52–57. https://doi.org/10.54646/bjbnt.2023.11
Published: Sep 22, 2023
Updated: 2023-09-22
DOI: https://doi.org/10.54646/bjbnt.2023.11
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Keywords:
perturbation functions
free-form patches
anisotropic deformation

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Authors

Sergey I. Vyatkin
Synthesizing Visualization Systems Laboratory, Institute of Automation and Electrometry, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russian Federation
Boris S. Dolgovesov
Synthesizing Visualization Systems Laboratory, Institute of Automation and Electrometry, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russian Federation

Abstract

A method of anisotropic deformation of elastic materials based on free-form patches for biomechanics problems is presented. The method provides an analysis of the anisotropic hyperelasticity of transverse isotropy. For this purpose, fast and efficient Newton solutions are used. An invariant of anisotropic deformation is proposed, with the help of which side states of energy are eliminated at large deformation. The method is also used to restore finite elements. Because of this, it is possible to model large deformations, including for grids containing degenerate elements

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Article Details

Issue
Vol. 1 No. 2 (2023): BOHR Journal of Biocomputing and Nano Technology (BJBNT)
Section
Articles