An incremental deformation model of arterial dissection

DOI10.1007/s00285-018-1309-8zbMath1411.74043OpenAlexW2901016140WikidataQ93231530 ScholiaQ93231530MaRDI QIDQ1741528

Lei Wang, Steven M. Roper, Xiaoyu Luo, Beibei Li, Nicholas A. Hill

Publication date: 3 May 2019

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-018-1309-8

zbMATH Keywords

residual stressarterial dissectionaortic dissectionincremental deformationaxial pre-stretchaxisymmetric tearHolzapfel-Gasser-Ogden strain-energy

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Fracture and damage (74R99) Medical applications (general) (92C50) Biomechanical solid mechanics (74L15) Equations linearized about a deformed state (small deformations superposed on large) (74B15)

Uses Software

• FEAP

Cites Work

• Modelling of tear propagation and arrest in fibre-reinforced soft tissue subject to internal pressure
• The Somigliana ring dislocation
• Fundamental eigenstrain solutions for axisymmetric crack problems
• Geometrically nonlinear and consistently linearized embedded strong discontinuity models for 3D problems with an application to the dissection analysis of soft biological tissues.
• Modelling peeling- and pressure-driven propagation of arterial dissection
• A new constitutive framework for arterial wall mechanics and a comparative study of material models

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