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Variational principles for nonlinear pde systems via duality

Submitted by Amit Acharya on

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.

An action for nonlinear dislocation dynamics

Submitted by Amit Acharya on

Amit Acharya

To appear in J. Mech. Phys Solids

Amit Acharya

An action functional is developed for nonlinear dislocation dynamics. This serves as a fi rst step
towards the application of eff ective 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,
eff ective 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.

On Hashin's Hollow Cylinder and Sphere Assemblages in Anisotropic Nonlinear Elasticity

Submitted by arash_yavari on

We generalize Hashin's nonlinear isotropic hollow cylinder and sphere assemblages to nonlinear anisotropic solids. More specifically, we find the effective hydrostatic constitutive equation of nonlinear transversely isotropic hollow sphere assemblages with radial material preferred directions. We also derive the effective constitutive equations of finite and infinitely-long hollow cylinder assemblages made of incompressible orthotropic solids with axial, radial, and circumferential material preferred directions.

Postdoc position in atomistic simulations at the University of Manitoba, Canada

Submitted by cdeng on

We currently have one opening for postdoc position at the Unviersity of Manitoba, Canada in the area of atomistic simulations of the electronic structure and physical properties of metallic systems. The position will investigate the correlation between the electronic structures and the physical properties (e.g., thermodynamics, corrosion/wear, and plasticity, etc.) of metals by using molecular dynamics and density functional theory simulations. 

PhD in Mechanics of Soft Materials and Biological Tissues

Submitted by Konstantin Volokh on

Ph.D. position at the Technion – Israel Institute of Technology.  The research is concerned with the modeling of failure and fracture in soft materials and biological tissues.  Preference will be given to candidates with background in nonlinear finite element methods and constitutive modeling. If you are interested, please send an email to me at: cvolokh [at] technion.ac.il (cvolokh[at]technion[dot]ac[dot]il) with a single PDF file containing

Reminder (Deadline Oct 15th, 2021) Call for Nominations for the Eshelby Mechanics Award for Young Faculty

Submitted by Pradeep Sharma on

It is my pleasure to solicit nominations for the "Eshelby Mechanics Award for Young Faculty". This award, launched in 2012, is given annually to rapidly emerging junior faculty who exemplify the creative use and development of mechanics. The intent of the award is to promote the field of mechanics, especially among young researchers. While interdisciplinary work that bridges mechanics with physics, chemistry, biology and other disciplines is encouraged, the ideal awardee will demonstrate clear inspiration from mechanics in his/her research.