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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.

MS/PhD with Assistantship (US Green Card Holders/Citizens Only)

Submitted by abhen.singh on

There is an immediate opening for a MS/PhD student in the Department of Mechanical Engineering at Baylor University in Waco, TX, USA for Fall 2021 or Spring 2022 (negotiable). The research topic is in ceramics and ceramic matrix composites. Due to the funding agency requirements only US citizens and green card holders can be considered for this opening.  If interested to know further please contact Dr. Singh at abhen_singh [at] baylor.edu

Faculty Position in MAE at Syracuse University

Submitted by Teng zhang on

The Mechanical and Aerospace Engineering (MAE) Department at Syracuse University is seeking applications for a tenure-track Assistant Professor position in the field of Solid Mechanics. This position is part of an ambitious Invest Syracuse Cluster Hire Initiative in the broad area of bioinspired science and technology.

Ph.D. position at the University of North Carolina at Charlotte

Submitted by A.Tabarraei on

Two Ph.D. positions are available for January 2022 at the Multiscale Material Modeling Lab at the University of North Carolina at Charlotte. The Ph.D. students will develop and use tools such as machine learning, finite elements, and molecular dynamics to study the mechanical properties of materials. If interested please email your CV to atabarra [at] uncc.edu

PhD positions at UBC Vancouver

Submitted by Srikanthubc on

Two fully funded PhD positions are available in my research group at UBC, Vancouver in the area of mechanics of architected and fibrous materials. These positions are fully funded and expected to be filled before January 2022, or sooner .  Ideal candidate will have  (a) completed a research level Masters degree (in exceptional cases a Batcherlor's degree) in the area of solid mechanics, (b) aptitude and interest to pursue independent research under supervision, (c) strong written and spoken technical communication skills, (d) skills in modelling and experiments.

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.

International Conference on Recent Advances in Modeling and Simulation Techniques in Engineering and Sciences [RAMSTES - 2021]

Submitted by Dhaneshwar Mishra on

Multiscale Simulation Research Center (MSRC), with Departments of Mechanical, Civil, and Chemical Engineering at Manipal University Jaipur (MUJ), Jaipur, Rajasthan, India is organizing a three days International Conference on “Recent Advances in Modeling and Simulation Techniques in Engineering and Sciences[RAMSTES-2021]” to be held on 8-10, December 2021 at MUJ. The event will be conducted onlineMajor conference themes are