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- Publications
- Influence

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

- G. Holzapfel, T. Gasser, R. Ogden
- Mathematics
- 1 July 2000

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 elastic circular… Expand

Hyperelastic modelling of arterial layers with distributed collagen fibre orientations

- T. Gasser, R. Ogden, G. Holzapfel
- Biology, Medicine
- Journal of The Royal Society Interface
- 22 February 2006

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 involving soft… Expand

Constitutive modelling of passive myocardium: a structurally based framework for material characterization

- G. Holzapfel, R. Ogden
- Physics, Biology
- Philosophical Transactions of the Royal Society A…
- 13 September 2009

In this paper, we first of all review the morphology and structure of the myocardium and discuss the main features of the mechanical response of passive myocardium tissue, which is an orthotropic… Expand

A pseudo–elastic model for the Mullins effect in filled rubber

- R. Ogden, D. G. Roxburgh
- Materials Science
- Proceedings of the Royal Society of London…
- 8 August 1999

When a rubber test piece is loaded in simple tension from its virgin state, unloaded and then reloaded, the stress required on reloading is less than that on the initial loading for stretches up to… Expand

Constitutive modelling of arteries

- G. Holzapfel, R. Ogden
- Materials Science
- Proceedings of the Royal Society A: Mathematical…
- 8 June 2010

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 aspects of the… Expand

A constitutive model for the Mullins effect with permanent set in particle-reinforced rubber

- A. Dorfmann, R. Ogden
- Materials Science
- 1 April 2004

Stress softening during initial loading cycles, known as the Mullins effect, and the residual strain upon unloading are not accounted for when the mechanical properties of rubber are represented in… Expand

Fitting hyperelastic models to experimental data

- R. Ogden, G. Saccomandi, I. Sgura
- Mathematics
- 18 August 2004

This paper is concerned with determining material parameters in incompressible isotropic elastic strain–energy functions on the basis of a non-linear least squares optimization method by fitting data… Expand

Nonlinear Electroelastic Deformations

- A. Dorfmann, R. Ogden
- Mathematics
- 16 March 2006

Electro-sensitive (ES) elastomers form a class of smart materials whose mechanical properties can be changed rapidly by the application of an electric field. These materials have attracted… Expand

Nonlinear Elasticity, Anisotropy, Material Stability and Residual Stresses in Soft Tissue

- R. Ogden
- Materials Science
- 2003

In this chapter the basic equations of nonlinear elasticity theory needed for the analysis of the elastic behaviour of soft tissues are summarized. Particular attention is paid to characterizing the… Expand

Magnetoelastic modelling of elastomers

- A. Dorfmann, R. Ogden
- Materials Science
- 1 July 2003

In this paper we first summarize the equations governing the deformation of magneto-sensitive (MS) elastic solids with particular reference to elastomers whose mechanical properties may be changed… Expand