A New Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models

By Gerhard A. Holzapfel, T. Christian Gasser, Ray W. Ogden. 2000

3,479 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Cardiology and Cardiovascular Medicine, Surgery

View Paper: https://www.semanticscholar.org/paper/5b43d4b435281f204a7a5bf450c88a267ae7093a

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In Biomedical Engineering

In Cardiology and Cardiovascular Medicine

In Surgery

Citations in the corpus

Hyperelasticity with softening for modeling materials failure (2007, methodology): “We choose the latest theory proposed by Holzapfel et al (2000) to account for the bi-layer structure of the artery where both adventitia and media are fiber-reinforced composites.”
Geometric deep learning for computational mechanics Part I: Anisotropic Hyperelasticity (2020, background): “This formulation leads to the so-called hyperelastic or Green-elastic material, which postulate the existence of a Helmholtz free-energy function (Holzapfel et al., 2000).”
On the mechanics of solids with a growing mass (2002, background): “The articles by Holzapfel et al. (2000), and Sacks (2000) contain a number of pertinent references.”
Influence of corneal biomechanical properties on intraocular pressure measurement: Quantitative analysis (2005, background): “For example, Young’s modulus may exponentially increase as stress increases.(42) Further experimental data and investigation of the nonlinear properties of corneas are necessary for constructing such a model.”
Mechanical properties of 3D printed polymeric cellular materials with triply periodic minimal surface architectures (2017, methodology): “Each network consists of a hyperelastic component based on the Holzapfel-Gasser-Ogden anisotropic hyperelastic model [55] (represented by a spring in Fig.”
Computational Modelling of Isotropic Multiplicative Growth (2005, background): “However, an extension to anisotropic elastic behaviour, as documented e.g. by Holzapfel, Gasser, and Ogden (2000), Holzapfel and Ogden (2003), Kuhl, Menzel, and Garikipati (2004), Kuhl, Garikipati, Arruda, and Grosh (2004) or Menzel (2004, 2005), does not pose any additional conceptional…”