caa a22 4500 463232593 CHVBK 20180405153246.0 cr unu---uuuuu 170326e20071101xx s 000 0 eng 10.1007/s10853-007-1917-y doi (NATIONALLICENCE)springer-10.1007/s10853-007-1917-y A continuum model for remodeling in living structures [Elektronische Daten] [Ellen Kuhl, Gerhard Holzapfel] A new remodeling theory accounting for mechanically driven collagen fiber reorientation in cardiovascular tissues is proposed. The constitutive equations for the living tissues are motivated by phenomenologically based microstructural considerations on the collagen fiber level. Homogenization from this molecular microscale to the macroscale of the cardiovascular tissue is performed via the concept of chain network models. In contrast to purely invariant-based macroscopic approaches, the present approach is thus governed by a limited set of physically motivated material parameters. Its particular feature is the underlying orthotropic unit cell which inherently incorporates transverse isotropy and standard isotropy as special cases. To account for mechanically induced remodeling, the unit cell dimensions are postulated to change gradually in response to mechanical loading. From an algorithmic point of view, rather than updating vector-valued microstructural directions, as in previously suggested models, we update the scalar-valued dimensions of this orthotropic unit cell with respect to the positive eigenvalues of a tensorial driving force. This update is straightforward, experiences no singularities and leads to a stable and robust remodeling algorithm. Embedded in a finite element framework, the algorithm is applied to simulate the uniaxial loading of a cylindrical tendon and the complex multiaxial loading situation in a model artery. After investigating different material and spatial stress and strain measures as potential driving forces, we conclude that the Cauchy stress, i.e., the true stress acting on the deformed configuration, seems to be a reasonable candidate to drive the remodeling process. Springer Science+Business Media, LLC, 2007 Kuhl Ellen Department of Mechanical Engineering, Stanford University, 94305, Stanford, CA, USA aut Holzapfel Gerhard Department of Solid Mechanics, School of Engineering Sciences, Royal Institute of Technology, 100 44, Stockholm, Sweden aut Journal of Materials Science Springer US; http://www.springer-ny.com 42/21(2007-11-01), 8811-8823 0022-2461 42:21<8811 2007 42 10853 https://doi.org/10.1007/s10853-007-1917-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10853-007-1917-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kuhl Ellen Department of Mechanical Engineering, Stanford University, 94305, Stanford, CA, USA aut NATIONALLICENCE 700 1- Holzapfel Gerhard Department of Solid Mechanics, School of Engineering Sciences, Royal Institute of Technology, 100 44, Stockholm, Sweden aut NATIONALLICENCE 773 0- Journal of Materials Science Springer US; http://www.springer-ny.com 42/21(2007-11-01), 8811-8823 0022-2461 42:21<8811 2007 42 10853 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer