145 citations · 427 across the 25 of their papers we have counts for
Showing 2009Show all
2 papers · 1 filter
math-ph2009★ 71 cited
A Geometric Theory of Thermal Stresses
Arkadas Ozakin, Arash Yavari
In this paper we formulate a geometric theory of thermal stresses. Given a temperature distribution, we associate a Riemannian material manifold to the body, with a metric that exp…
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…