Remodelling of biological tissues with fibre recruitment and reorientation in the light of the theory of material uniformity. (March 2019)

• Record Type: Journal Article
• Authors: Hamedzadeh, Amir; Grillo, Alfio; Epstein, Marcelo; Federico, Salvatore
• Is Part Of: Mechanics research communications. Volume 96(2019)
• Page Start: 56
• Page End: 61
• Publication Date: 2019-03
• Subjects: Collagen fibre -- Recruitment -- Remodelling -- Growth -- Material uniformity; Mechanics, Applied -- Periodicals; Mécanique appliquée -- Périodiques; Mechanics, Applied; Periodicals; 530
• DOI: 10.1016/j.mechrescom.2019.02.001
• Languages: English
• ISSNs: 0093-6413

Abstract

Highlights: Description of fibre recruitment by means of a material implant (theory of uniformity). Description of the evolution of the recruitment parameters and the fibre orientation by use of the theory of uniformity. Benchmark problem describing an idealised blood vessel, representing, e.g., a case of hypertension. Abstract: This study focusses on the remodelling of biological tissues in the framework of the theory of material uniformity. A constitutive evolution model is introduced, including fibre recruitment and reorientation, and subjected to the entropy inequality, which enforces the Second Principle of Thermodynamics. The model is applied to a numerical example describing a pressurised fibre-reinforced cylinder, roughly representing an artery, and is able to capture the major characteristics of remodelling in arteries, as reported in the literature.