Blog posts

The fully nonlinear (geometric and material) system of Field Dislocation Mechanics is reviewed to establish an exact analogy with the equations of ideal magnetohydrodynamics (ideal MHD) under suitable physically simplifying circumstances. Weak solutions with various conservation properties have been established for ideal MHD recently by Faraco, Lindberg, and Szekelyhidi using the techniques of compensated compactness of Tartar and Murat and convex integration; by the established analogy, these results would seem to be transferable to the idealization of Field Dislocation Mechanics considered. A dual variational principle is designed and discussed for this system of PDE, with the technique transferable to the study of MHD as well.

We study the geometric phases of nonlinear elastic $N$-rotors with continuous rotational symmetry. In the Hamiltonian framework, the geometric structure of the phase space is a principal fiber bundle, i.e., a base, or shape manifold~$\mathcal{B}$, and fibers $\mathcal{F}$ along the symmetry direction attached to it. The symplectic structure of the Hamiltonian dynamics determines the connection and curvature forms of the shape manifold. Using Cartan's structural equations with zero torsion we find an intrinsic (pseudo) Riemannian metric for the shape manifold.

Dear Colleagues and Students,

International Conference on Experimental Mechanics (ICEM 2024) website is live now!

We are seeking a highly motivated and enthusiastic researcher to fill a Postdoctoral Researcher position in Quantum Scientific Computing at the Florida A&M University-Florida State University College of Engineering (FAMU-FSU COE) in Tallahassee, Florida. This exciting opportunity is directed towards highly motivated and enthusiastic researchers who are eager to contribute to cutting-edge projects in the realm of quantum computing and its applications in scientific problems.

Dear colleagues,

We are currently inviting abstract submissions to our symposium “Molecular scale modeling and experimentation” at the Engineering Mechanics Institute Conference and Probabilistic Mechanics & Reliability (EMI/PMC) Conference that will be hosted in Chicago, IL on May 28-31, 2024.