research

A special issue on "Mechanics of 3D-Printed Polymers and Polymer Composites", is recently launched in the journal "Polymers". If your research is related to the topic, I would like to invite you to submit your latest research developments to the special issue. For more details and submitting your manuscript, please see: 

https://www.mdpi.com/journal/polymers/special_issues/Mech_3D_Print_Polym...

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.

Dear colleagues,

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@illinois.edu), Ganesh Patil (gupatil2@illinois.edu), Kathryn Matlack (kmatlack@illinois.edu)

In the recently published paper by the Department of Biology at College of Charleston and at Valdosta State University, researchers measured the material properties of hagfish skin and compared histological data from the skins of four hagfish species. Skin samples were subjected to uniaxial and biaxial tensile testing to study their strength, stiffness, and extensibility. ADMET eXpert 8600 Planar Biaxial testing system was used to conduct planar biaxial tests.

Dear Colleagues,

I am writing to share with you my article titled, "Precipitation during creep in magnesium-aluminum alloys" , which has been published in the journal Continuum Mechanics and Thermodynamics. 

Lightweight magnesium-aluminum alloys show significant tension-compression asymmetry under creep loading. This work offers an explanation of this phenomenon.

Link to the article: https://rdcu.be/ct4zi

Dear iMechanicians, I would like to share our recent work on a drop confined by two adhesive graphene sheets (as illustrated below). 

Amit Acharya

A formal methodology for developing variational principles corresponding to a given nonlinear
pde system is discussed. The scheme is demonstrated in the context of the incompressible
Navier-Stokes equations, systems of first-order conservation laws, and systems of Hamilton-
Jacobi equations.

Amit Acharya

To appear in J. Mech. Phys Solids

Amit Acharya

An action functional is developed for nonlinear dislocation dynamics. This serves as a first step
towards the application of effective field theory in physics to evaluate its potential in obtaining
a macroscopic description of dislocation dynamics describing the plasticity of crystalline solids.
Connections arise between the continuum mechanics and material science of defects in solids,
effective field theory techniques in physics, and fracton tensor gauge theories.

The scheme that emerges from this work for generating a variational principle for a nonlinear
pde system is general, as is demonstrated by doing so for nonlinear elastostatics involving a stress
response function that is not necessarily hyperelastic.

Meredith Silberstein and Max Tepermeister

Cornell University, Sibley School of Mechanical and Aerospace Engineering

Universal deformations of an elastic solid are deformations that can be achieved for all possible strain-energy density functions and suitable boundary conditions. They play a central role in nonlinear elasticity and their classification has been mostly accomplished for isotropic solids following Ericksen's seminal work. Here, we address the same problem for transversely isotropic, orthotropic, and monoclinic solids.