title: An approach to the mechanical constitutive modelling of arterial tissue based on homogenization and optimization.
abstract: This paper is concerned with characterizing the quasistatic mechanical behaviour of arterial tissue undergoing finite deformation through hyperelastic constitutive functions. Commonly the parameters of constitutive functions are established by a process of optimization based on experimental data. Instead we construct a finite element model of a representative volume element of the material and compute its homogenized response to a range of deformations. These data are then used to provide objective functions for optimizing the parameters of two analytical models from the literature.
authors.affiliation: Centre for Civil and Computational Engineering, School of Engineering, Swansea University, Swansea SA2 8PP, UK.
authors.forename: D C D
authors.initials: DC
authors.lastname: Speirs
authors.forename: E A
authors.initials: EA
authors.lastname: de Souza Neto
authors.forename: D
authors.initials: D
authors.lastname: Perić
mesh_terms: D000465:Algorithms; D000818:Animals; D001158:Arteries / Q000502:physiology*; D055592:Biophysical Phenomena / Q000502:physiology; D001794:Blood Pressure / Q000502:physiology*; D003198:Computer Simulation; D055119:Elastic Modulus; D006801:Humans; D008955:Models, Cardiovascular; D033081:Shear Strength; D013314:Stress, Mechanical; D014655:Vascular Resistance / Q000502:physiology