User login


You are here

Nonlinear Elasticity in a Deforming Ambient Space

Arash_Yavari's picture

In this paper we formulate a nonlinear elasticity theory in which the ambient space is evolving. For a continuum moving in an evolving ambient space, we model time dependency of the metric by a time-dependent embedding of the ambient space in a larger manifold with a fixed background metric. We derive both the tangential and the normal governing equations. We then reduce the standard energy balance written in the larger ambient space to that in the evolving ambient space. We consider quasi-static deformations of the ambient space and show that a quasi-static deformation of the ambient space results in stresses, in general. We linearize the nonlinear theory about a reference motion and show that variation of the spatial metric corresponds to an effective field of body forces.

PDF icon ElasDefMet_YaOzSa15.pdf709.2 KB
Subscribe to Comments for "Nonlinear Elasticity in a Deforming Ambient Space"

Recent comments

More comments


Subscribe to Syndicate