2 papers
cond-mat.soft2025
Nonlinear Mechanics of Arterial Growth
Aditya Kumar, Arash Yavari
In this paper, we formulate a geometric theory of the mechanics of arterial growth. An artery is modeled as a finite-length thick shell that is made of an incompressible nonlinear…
math.NA2025
Second-Order Compatible-Strain Mixed Finite Elements for 2D Compressible Nonlinear Elasticity
Mohsen Jahanshahi, Damiano Pasini, Arash Yavari
In recent years, a new class of mixed finite elements -- compatible-strain mixed finite elements (CSMFEs) -- has emerged that uses the differential complex of nonlinear elasticity.…