Global solvability of the regularized problem of growing hyperelastic materials

DOI10.1134/S1990478917030024zbMath1399.74084OpenAlexW2753722051MaRDI QIDQ5374028

A. V. Beskrovnykh

Publication date: 6 April 2018

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1990478917030024

zbMATH Keywords

existence of global solutionsvolumetric growth

Mathematics Subject Classification ID

Biomechanics (92C10) Biomechanical solid mechanics (74L15) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Mass transport in morphogenetic processes: a second gradient theory for volumetric growth and material remodeling
• Global solutions to the equations of a Ginzburg-Landau theory for structural phase transitions in shape memory alloys
• Compact sets in the space \(L^ p(0,T;B)\)
• Thermomechanics of volumetric growth in uniform bodies
• Material inhomogeneities and their evolution. A geometric approch.
• Mathematical modeling of volumetric material growth

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