Section 8

You have free access to this content

Theory and implementation of orthotropic materials in growing continua

  1. Grieta Himpel,
  2. Ellen Kuhl,
  3. Andreas Menzel,
  4. Paul Steinmann

Article first published online: 1 DEC 2004

DOI: 10.1002/pamm.200410141

Issue

PAMM

PAMM

Volume 4, Issue 1, pages 320–321, December 2004

Additional Information

How to Cite

Himpel, G., Kuhl, E., Menzel, A. and Steinmann, P. (2004), Theory and implementation of orthotropic materials in growing continua. Proc. Appl. Math. Mech., 4: 320–321. doi: 10.1002/pamm.200410141

Author Information

  1. Chair of Applied Mechanics, University of Kaiserslautern, P.O. Box 3049, 67653 Kaiserslautern, Germany

Publication History

  1. Issue published online: 1 DEC 2004
  2. Article first published online: 1 DEC 2004

SEARCH

SEARCH BY CITATION

ARTICLE TOOLS

Get PDF (491K)

Abstract

Most biological tissues show a material behavior which is characterized through a pronounced anisotropy. In particular hard tissues such as bones or soft tissues as muscles are commonly modeled as either transversely isotropic or even orthotropic. In contrast to engineering materials, however, biological tissues possess the ability to adapt, e.g. their density, to the current loading situation. Based on a formulation for growth in isotropic continua, see for instance Kuhl, Menzel & Steinmann [3], and transversely isotropic continua as discussed e.g. in Himpel [2], we attend to a model for the functional adaption of orthotropic biomaterials. The material model has been implemented in a finite element code and is studied by means of a numerical example. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Get PDF (491K)