research

A general class of implicit bodies was proposed to describe elastic response of solids, which contains the Cauchy–Green tensor as a function of Cauchy stress. Here, we consider the buckling of solids described by such a subclass of implicit constitutive relation. We present a general linear incremental theory and carry out bifurcation analysis of a uniaxially compressed rectangular layer described by an implicit constitution. We then provide general governing equations regarding the mixed unknowns, i.e., displacement and stress fields, within the framework of finite strain deformation.

Dear colleagues,

EML Webinar (Season 2) on 15 September 2021 will be given by Xavier Trepat on engineering the shape and mechanics of cellular monolayers. Discussion leader: Andrej Kosmrlj, Princeton University

Time: 9 am Boston, 2 pm London, 9 pm Beijing on 15 September 2021

Zoom Link: https://ter.ps/EMLWebinarS2

Viscoelastic materials are receiving increasing attention in soft robots and pressure sensitive adhesives design, but also in passive damping techniques in automotive and aerospace industry. Here, by using the correspondence principle originally developed by Lee and Radok and further extended by Ting and Greenwood, we transform the elastic solutions of Persson for contact of nominally flat but randomly rough surfaces to viscoelastic indentation. As an example, the cases of step loading and of the response to a single cycle of harmonic loading are studied.

Dear colleagues,

Universal (controllable) deformations of an elastic solid are those deformations that can be maintained for all possible strain-energy density functions and suitable boundary tractions. Universal deformations have played a central role in nonlinear elasticity and anelasticity. However, their classification has been mostly established for homogeneous isotropic solids following the seminal works of Ericksen. In this paper, we extend Ericksen's analysis of universal deformations to inhomogeneous compressible and incompressible isotropic solids.

Phononic materials: controlling elastic waves in solids

Ignacio Arretche (ia6 [at] illinois.edu), Ganesh Patil (gupatil2 [at] illinois.edu), Kathryn Matlack (kmatlack [at] illinois.edu)