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Journal ArticleDOI

Nonlinear Solid Mechanics: A Continuum Approach for Engineering Science

Gerhard A. Holzapfel
- 01 Jul 2002 - 
- Vol. 37, Iss: 4, pp 489-490
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This article is published in Meccanica.The article was published on 2002-07-01. It has received 2782 citations till now. The article focuses on the topics: Solid mechanics & Applied mechanics.

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

TL;DR: In this paper, the authors developed a constitutive law for the description of the (passive) mechanical response of arterial tissue, where the artery is modeled as a thick-walled nonlinearly elastic circular cylindrical tube consisting of two layers corresponding to the media and adventitia.
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Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book

TL;DR: This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software.
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Hyperelastic modelling of arterial layers with distributed collagen fibre orientations

TL;DR: A structural continuum framework that is able to represent the dispersion of the collagen fibre orientation is developed and allows the development of a new hyperelastic free-energy function that is particularly suited for representing the anisotropic elastic properties of adventitial and intimal layers of arterial walls.
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Determination of layer-specific mechanical properties of human coronary arteries with nonatherosclerotic intimal thickening and related constitutive modeling

TL;DR: The study showed the need to model nonstenotic human coronary arteries with nonatherosclerotic intimal thickening as a composite structure composed of three solid mechanically relevant layers with different mechanical properties.
Journal ArticleDOI

Isogeometric fluid-structure interaction: theory, algorithms, and computations

TL;DR: A fully-coupled monolithic formulation of the fluid-structure interaction of an incompressible fluid on a moving domain with a nonlinear hyperelastic solid is presented.