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A nonlinear description of fiber reorientation in active materials

Wednesday, October 7, 2020

2:30pm – 3:45pm

Virtual via zoom (register by clicking here), Virginia Tech Campus

Paola Nardinocchi

Structural and Geotechnical Engineering

La Sapienza University


Fiber orientation in active and fiber reinforced material may evolve with time, under the influence of appropriate external stimuli. In this talk, I will present a nonlinear model which describes fiber reorientation within the framework of large strain hyperelasticity. Kinematics of the body is described by both a position vector and a remodelling tensor that represents the fiber reorientation process. By using suitable thermodynamical restrictions on the constitutive equations, an evolution equation of the remodelling tensor governed by the Eshelby torque is obtained. A study of the stationary solutions is presented in absence of any external source terms. In such configuration, the fibers reorient in a configuration that minimizes the elastic energy, and they align along a direction that may or may not be of the direction of principal strain.


Paola Nardinocchi is an associate professor of mechanics of solids and structures at La Sapienza University in Rome, Italy. She obtaiend her Laurea in engineering at the Università di Ancona, Italy, and her PhD in structural mechanics at the Università di Bologna, Italy. She is a member of Executive Council of the Interdepartmental Research Center on nanotechnologies applied to engineering at La Sapienza University. Her research interests are in nonlinear mechanics of soft active solids and structures; swelling-driven mechanics of polymeric materials; design and control of stimuli-responsive materials; compatibility problems in nonlinear mechanics.