.png){kind=icon}
.png){kind=icon}
Return
A Gradient Structure for Isotropic Non-linear Morphoelastic Bodies
.png){kind=icon}
PRE
AI
O
DOI：10.1007/978-3-032-03921-7_39.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
Morphoelastic bodies are elastic materials that undergo complex shape changes due to intrinsic growth, remodelling, or active internal processes. In a theoretical context, these materials are typically represented by non-Euclidean material manifolds characterized by an evolving metric structure. In this work, we formulate remodelling on such manifolds through a gradient system, where the inertialess dynamics of the system are driven by the steepest descent of an energy functional within an appropriate metric space. We obtain a gradient flow equation by combining isotropic non-linear elasticity with growth-induced dissipative mechanisms and illustrate the formalism through numerical simulations of stress relaxation at fixed strain.
Keywords:
Gradient flows
Morphoelasticity
Journal
G
IF:
0
Papers:
41
Citations:
0
Organization
Cited Papers