Engineering Commons^™

Collaborative Research: Mechanics Of Growing Bodies: A Riemannian Geometric Approach, Alireza Shamsaei Sarvestani

University of Maine Office of Research Administration: Grant Reports

The research objective of this grant is to elucidate a differential/Riemannian geometric formulation for the mechanics of growing bodies. The proposed work is based on the concept of a changing material manifold whose dynamics predicts the evolution of the relaxed state of a material body. This theory is applicable to biological tissues in which growth and remodeling are coupled with large deformations. To achieve the research objective of this proposal, a theory of continuum mechanics based on a dynamic material manifold is introduced that couples the growth/remodeling of biological tissues with their large deformations. The proposed research will put growth …