A viscoelastic model for fiber-reinforced composites at finite strains: Continuum basis, computational aspects and applications

By Gerhard A. Holzapfel, T. Christian Gasser. 2001

524 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/9739ab453918d4f5469d6b7d121fbf55d3ba14dd

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In Biomedical Engineering

In Mechanics of Materials

Citations in the corpus

A New Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models (2000, methodology): “It also admits an efficient numerical implementation within the finite element method, an aspect which is discussed in detail in [ 26 ], in which there is an extension to viscoelasticity (suitable for the modeling of muscular arteries).”
Nonlinear Elasticity, Anisotropy, Material Stability and Residual Stresses in Soft Tissue (2003, background): “With the equivalent of equations (102) and (105) (in different notation) were solved numerically by Holzapfel and Gasser (2001) in respect of an energy function containing a term exponential in to obtain plots of the pressure as a function of and (separately and equivalently) of .”
A non-orthogonal constitutive model for characterizing woven composites (2003, background): “A lot of effort has been made in this area, such as the ‘mosaic model’ and the ‘fiber undulation model’ [7], which are orthogonal models, as well as the viscoelastic model [ 8 ], which considered the initial non-orthogonality of fibers, however, not its evolution.”
An anisotropic viscoelastic fibre–matrix model at finite strains: Continuum formulation and computational aspects (2007, methodology): “And for anisotropic viscoelasticity, we refer for example to the recent formulation by Holzapfel and Gasser (2001) in [ 8 ], see also [9].”
A rate-independent elastoplastic constitutive model for biological fiber-reinforced composites at finite strains: continuum basis, algorithmic formulation and finite element implementation (2002, unknown): “Based on the idea of the theory of fiber-reinforced composites we use these structural measures to introduce an anisotropic free-energy function (for the description of the elastic part of the deformation see [19, 20, 54].”