Computational modeling of healing: an application of the material force method

@article{Kuhl2004ComputationalMO,
  title={Computational modeling of healing: an application of the material force method},
  author={Ellen Kuhl and Paul Steinmann},
  journal={Biomechanics and Modeling in Mechanobiology},
  year={2004},
  volume={2},
  pages={187-203}
}
  • E. Kuhl, P. Steinmann
  • Published 11 February 2004
  • Physics
  • Biomechanics and Modeling in Mechanobiology
The basic aim of the present contribution is the qualitative simulation of healing phenomena typically encountered in hard and soft tissue mechanics. The mechanical framework is provided by the theory of open system thermodynamics, which will be formulated in the spatial as well as in the material motion context. While the former typically aims at deriving the density and the spatial motion deformation field in response to given spatial forces, the latter will be applied to determine the… 
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References

SHOWING 1-10 OF 71 REFERENCES
Material forces in open system mechanics
Application of the material force method to isotropic continuum damage
Abstract The objective of this work is the exploitation of the notion of material forces in computational continuum damage mechanics. To this end we consider the framework of isotropic geometrically
Computational modeling of growth
The present contribution is dedicated to the computational modeling of growth phenomena typically encountered in modern biomechanical applications. We set the basis by critically reviewing the
Material Forces in the Context of Biotissue Remodelling
TLDR
Remodelling of biological tissue, due to changes in microstructure, is treated in the continuum mechanical setting and a governing differential equation and boundary conditions are obtained by posing the problem in a variational setting.
A New Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models
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
Theory and numerics of geometrically non-linear open system mechanics
The present contribution aims at deriving a general theoretical and numerical framework for open system thermodynamics. The balance equations for open systems differ from the classical balance
On the mechanics of solids with a growing mass
The behavior of adaptive bone-remodeling simulation models.
...
...