3 papers
math-ph2026
In search of constitutive conditions in isotropic hyperelasticity: polyconvexity versus true-stress-true-strain monotonicity
Maximilian P. Wollner, Gerhard A. Holzapfel, Patrizio Neff
The polyconvexity of a strain-energy function is nowadays increasingly presented as the ultimate material stability condition for an idealized elastic response. While the mathemati…
physics.med-ph2024
A Discrete Fiber Dispersion Model with Octahedral Symmetry Quadrature for Applications in Skin Mechanics
Riccardo Alberini, Michele Terzano, Gerhard A. Holzapfel +1
Advanced simulations of the mechanical behavior of soft tissues frequently rely on structure-based constitutive models, including smeared descriptions of collagen fibers. Among the…
physics.med-ph2024
Geometric Uncertainty of Patient-Specific Blood Vessels and its Impact on Aortic Hemodynamics
Domagoj Bošnjak, Richard Schussnig, Sascha Ranftl +2
In the context of numerical simulations of the vascular system, local geometric uncertainties have not yet been examined in sufficient detail due to model complexity and the associ…