|Authors||K. Garikipati, J. Olberding, H. Narayanan, E. M. Arruda, K. Grosh and S. Calve|
|Title||Biological Remodelling: Stationary Energy, Configurational Change, Internal Variables and Dissipation|
|Publication Type||Journal Article|
|Year of Publication||2006|
|Journal||Journal of the Mechanics and Physics of Solids|
Remodelling is defined as an evolution of microstructure or variations in the configuration of the underlying manifold. The manner in which a biological tissue and its subsystems remodel their structure is treated in a continuum mechanical setting. While some examples of remodelling are conveniently modelled as evolution of the reference configuration (Case I), others are more suited to an internal variable description (Case II). In this paper we explore the applicability of stationary energy states to remodelled systems. A variational treatment is introduced by assuming that stationary energy states are attained by changes in microstructure via one of the two mechanisms-Cases I and II. An example is presented to illustrate each case. The example illustrating Case II is further studied in the context of the thermodynamic dissipation inequality.