research

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.

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Is it possible to prevent the fall of a rod inside a sliding sleeve due to gravity?

By controlling the transverse oscillations of the constraint and revealing a novel self-tuning dynamic response, we provide a positive answer to this question in our paper:

Published in npj Computational Materials: https://www.nature.com/articles/s41524-023-01154-w

Published in Acta Materialia: https://www.sciencedirect.com/science/article/pii/S135964542300784X

Authors: Abhishek Arora, Amit Acharya

At the University of Parma (Italy) a call for supporting students wishing

to apply to the prestigious Marie Curie postdoctoral fellowship is now open.

The action wants to help students in preparing their project proposal under the supervision of  a university staff member, to be submitted to the 

Horizon Europe call (MSCA postdoctoral fellowship) 

Dear Colleagues, after a great success of the inaugural ASME Aerospace Structures, Structural Dynamics, and Materials (SSDM) conference this past summer, I am writing to cordially invite you to attend its 2^nd edition in Seattle, USA, April 29-May 1^st, 2024. The main feature of the SSDM conference is: