Homogenization of a system of elastic and reaction-diffusion equations modelling plant cell wall biomechanics

DOI10.1051/m2an/2015073zbMath1342.35031arXiv1410.6911OpenAlexW2281057412MaRDI QIDQ2806046

Mariya Ptashnyk, Brian Seguin

Publication date: 13 May 2016

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.6911

zbMATH Keywords

two-scale convergenceperiodic unfolding methodlack of dissipation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Linear constitutive equations for materials with memory (74D05) Random materials and composite materials (74A40) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (8)

Periodic homogenization and material symmetry in linear elasticity ⋮ Numerical approximation of a 3D mechanochemical interface model for skin patterning ⋮ The mathematics of mechanobiology and cell signaling. Abstracts from the workshop held February 25--March 3, 2018 ⋮ The impact of microfibril orientations on the biomechanics of plant cell walls and tissues ⋮ Homogenization of Biomechanical Models for Plant Tissues ⋮ Simulating the temporal change of the active response of arteries by finite elements with high-order time-integrators ⋮ Homogenization of degenerate cross-diffusion systems ⋮ Homogenization of linearized elasticity in a two-component medium with slip displacement conditions

Uses Software

• DOLFIN
• FEniCS

Cites Work

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