A new constitutive framework for arterial wall mechanics and a comparative study of material models

GA Holzapfel, TC Gasser, RW Ogden - … and the physical science of solids, 2000 - Springer
In this paper we develop a new constitutive law for the description of the (passive)
mechanical response of arterial tissue. The artery is modeled as a thick-walled nonlinearly …

Hyperelastic modelling of arterial layers with distributed collagen fibre orientations

TC Gasser, RW Ogden… - Journal of the royal …, 2006 - royalsocietypublishing.org
Constitutive relations are fundamental to the solution of problems in continuum mechanics,
and are required in the study of, for example, mechanically dominated clinical interventions …

[图书][B] The mathematics and mechanics of biological growth

A Goriely - 2017 - books.google.com
This monograph presents a general mathematical theory for biological growth. It provides
both a conceptual and a technical foundation for the understanding and analysis of …

The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications

A Quarteroni, A Manzoni, C Vergara - Acta Numerica, 2017 - cambridge.org
Mathematical and numerical modelling of the cardiovascular system is a research topic that
has attracted remarkable interest from the mathematical community because of its intrinsic …

Constitutive modelling of arteries

GA Holzapfel, RW Ogden - Proceedings of the Royal …, 2010 - royalsocietypublishing.org
This review article is concerned with the mathematical modelling of the mechanical
properties of the soft biological tissues that constitute the walls of arteries. Many important …

Multiphysics and multiscale modelling, data–model fusion and integration of organ physiology in the clinic: ventricular cardiac mechanics

R Chabiniok, VY Wang… - Interface …, 2016 - royalsocietypublishing.org
With heart and cardiovascular diseases continually challenging healthcare systems
worldwide, translating basic research on cardiac (patho) physiology into clinical care is …

Continuum biomechanics of soft biological tissues

JD Humphrey - Proceedings of the Royal Society of …, 2003 - royalsocietypublishing.org
Since its coming of age in the mid 1960s, continuum biomechanics has contributed much to
our understanding of human health as well as to disease, injury, and their treatment …

[PDF][PDF] Biomechanics of soft tissue

GA Holzapfel - The handbook of materials behavior models, 2001 - academia.edu
An efficient constitutive formulation approximates all types of soft tissues with a reasonable
accuracy over a large strain range. We request a simple constitutive equation with only a few …

On the benefits and pitfalls of analogies for innovative design: Ideation performance based on analogical distance, commonness, and modality of examples

J Chan, K Fu, C Schunn, J Cagan, K Wood… - 2011 - asmedigitalcollection.asme.org
Drawing inspiration from examples by analogy can be a powerful tool for innovative design
during conceptual ideation but also carries the risk of negative design outcomes (eg, design …

A structural model for the viscoelastic behavior of arterial walls: continuum formulation and finite element analysis

GA Holzapfel, TC Gasser, M Stadler - European Journal of Mechanics-A …, 2002 - Elsevier
In this paper we present a two-layer structural model suitable for predicting reliably the
passive (unstimulated) time-dependent three-dimensional stress and deformation states of …