Significant differences in the mechanical modeling of confined growth predicted by the Lagrangian and Eulerian formulations

DOI10.1016/j.ijengsci.2018.03.008zbMath1423.74193OpenAlexW2801593811WikidataQ129913823 ScholiaQ129913823MaRDI QIDQ1625251

M. M. Safadi, M. B. Rubin

Publication date: 29 November 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2018.03.008

zbMATH Keywords

growthLagrangian formulationcomputational mechanicsEulerian formulation

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Software, source code, etc. for problems pertaining to mechanics of deformable solids (74-04)

Related Items

A model for irreversible deformation phenomena driven by hydrostatic stress, deviatoric stress and an externally applied field ⋮ An Eulerian formulation of inelasticity: from metal plasticity to growth of biological tissues ⋮ Micromorphic balance equations in mass transport and mass production

Uses Software

• Maple
• ABAQUS

Cites Work

• Perspectives on biological growth and remodeling
• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. II: Computational aspects
• A unified theoretical structure for modeling interstitial growth and muscle activation in soft tissues
• Strongly objective numerical implementation and generalization of a unified large inelastic deformation model with a smooth elastic-inelastic transition
• A new approach to modeling early cardiac morphogenesis during c-looping
• A new analysis of stresses in arteries based on an Eulerian formulation of growth in tissues
• Modelling cardiac tissue growth and remodelling
• Nonequilibrium thermodynamics and rheology of viscoelastic polymer media
• A CONSTRAINED MIXTURE MODEL FOR GROWTH AND REMODELING OF SOFT TISSUES
• CALCULATION OF HYPERELASTIC RESPONSE OF FINITELY DEFORMED ELASTIC-VISCOPLASTIC MATERIALS
• Elastic-Plastic Deformation at Finite Strains
• The Thermodynamics of Irreversible Processes. IV. The Theory of Elasticity and Anelasticity