Microstructure-based hyperelastic models for cellular solids
Dr Angela Mihai (Cardiff University)
Thursday 16th March, 2017 14:00-15:00 Maths 515
(Lunch with the speaker will be at One A The Square, leaving from the school front foyer at 12.45.)
Cellular solids or foams are two or three dimensional bodies divided into cells, which may be open or closed, and can be filled with a fluid or solid core. For cellular solids subject to finite elastic deformations, we derive mesoscopic continuum models based on the architecture of the cellular body and the microscopic responses of the constituents. From these models, we obtain global descriptors of the structure such as nonlinear elastic and shear moduli and Poisson's ratio. Comparisons with numerical simulations show that the mesoscopic models capture well the mechanical responses of three-dimensional periodic structures and of two-dimensional honeycombs. Theoretically, the continuum models are valid for more general structures, with randomly oriented cell walls.