Geodesic
Restoration of the symmetries broken by reversible growth in hyperelastic bodies
Theoretical and applied mechanics, Tome 30 (2003) no. 4.

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In this paper, we interpret the development of material in homogeneities in continuum, hyper elastic bodies in the presence of reversible growth in terms of broken symmetries [1]. By applying Noether's Theorem [1, 2, 3, 4], we find a set of equations yielding the fields necessary to compensate for the broken symmetry. As growth occurs, these fields provide for an instantaneously updated reference configuration of the body, and are responsible for the dynamical restoring of the body symmetries. In addition, we propose to use these compensating fields in order to generalize the definition of the transplant operator given in [5,6]. This work has been motivated by the current theoretical investigations on the biomechanical aspects of growth in particular cartilage. 
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     author = {Alfio Grillo and Salvatore Federico and Gaetano Giaquinta and Walter Herzog and Guido La Rosa},
     title = {Restoration of the symmetries broken by reversible growth in hyperelastic bodies},
     journal = {Theoretical and applied mechanics},
     pages = {311 - 331},
     publisher = {mathdoc},
     volume = {30},
     number = {4},
     year = {2003},
     url = {http://geodesic.mathdoc.fr/item/TAM_2003_30_4_a3/}
}
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Alfio Grillo; Salvatore Federico; Gaetano Giaquinta; Walter Herzog; Guido La Rosa. Restoration of the symmetries broken by reversible growth in hyperelastic bodies. Theoretical and applied mechanics, Tome 30 (2003) no. 4. http://geodesic.mathdoc.fr/item/TAM_2003_30_4_a3/