Concise formulas for strain analysis of soft biological tissues

DOI10.1134/S0012266117070072zbMath1456.74126OpenAlexW2746615486MaRDI QIDQ2411840

Yuri V. Vassilevski, Victoria Yu. Salamatova, Alexander V. Lozovskiy

Publication date: 25 October 2017

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266117070072

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Finite element methods applied to problems in solid mechanics (74S05) Biomechanical solid mechanics (74L15)

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Cites Work

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• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• Large elastic deformations of isotropic materials IV. further developments of the general theory
• A hybrid elastic model for real-time cutting, deformations, and force feedback for surgery training and simulation

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