Mathematical modeling of neo-Hookean material growth

DOI10.1134/S1064562421060144zbMath1486.74011OpenAlexW4285336711MaRDI QIDQ2121848

P. I. Plotnikov

Publication date: 5 April 2022

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562421060144

zbMATH Keywords

weak solutionuniquenesswell-posednesshomeostatic statevolumetric growthMoebius groupincompressible neo-Hookean materialexistensehuman brain modeling

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Biomechanics (92C10) Biomechanical solid mechanics (74L15) PDEs in connection with mechanics of deformable solids (35Q74) Equations linearized about a deformed state (small deformations superposed on large) (74B15)

Cites Work

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• Mass transport in morphogenetic processes: a second gradient theory for volumetric growth and material remodeling
• Thermomechanics of volumetric growth in uniform bodies
• Estimates for certain differential operators with finite-dimensional kernel

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