Volumetric material growth: mathematical theory

DOI10.1134/S1064562416050045zbMath1360.35274OpenAlexW2555735945MaRDI QIDQ512491

P. I. Plotnikov, Jean-François Ganghoffer, Jan Sokolowski

Publication date: 27 February 2017

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

Full work available at URL: https://doi.org/10.1134/s1064562416050045

zbMATH Keywords

thermoelastic materialvolumetric growthalmost strong solution

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Thermal effects in solid mechanics (74F05) PDEs in connection with mechanics of deformable solids (35Q74) Strong solutions to PDEs (35D35)

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Cites Work

• Unnamed Item
• Thermomechanics of shells undergoing phase transition
• Mass transport in morphogenetic processes: a second gradient theory for volumetric growth and material remodeling
• Thermomechanics of volumetric growth in uniform bodies
• Mathematical modeling of volumetric material growth in thermoelasticity
• Modeling Growth in Biological Materials
• Existence and uniqueness of solutions for a three-dimensional thermoelastic system

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