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math.DG2009★ 145 cited
A Geometric Theory of Growth Mechanics
Arash Yavari
In this paper we formulate a geometric theory of the mechanics of growing solids. Bulk growth is modeled by a material manifold with an evolving metric. Time dependence of metric r…
math.DG2008★ 22 cited
Covariant Balance Laws in Continua with Microstructure
Arash Yavari, Jerrold E. Marsden
The purpose of this paper is to extend the Green-Naghdi-Rivlin balance of energy method to continua with microstructure. The key idea is to replace the group of Galilean transforma…