objective structures

Thursday, June 21, 2018 - 10:00am - 11:00am
Amartya Banerjee (Lawrence Berkeley National Laboratory)
Over the past few decades, first principles (i.e., quantum mechanical) methods have been instrumental in the discovery and characterization of novel materials. Traditionally, these methods have focused on the study of periodic / crystalline systems and their homogeneous deformations. In this talk, I will describe how ideas related to physical symmetry, when used in conjunction with ab initio theories, can help in the search of a new class of unprecedented materials, and their associated (inhomogeneous) deformation modes.
Friday, March 2, 2018 - 12:30pm - 1:20pm
Richard James (University of Minnesota, Twin Cities)
World population is growing approximately linearly at about 80 million per year. Thus, as time goes by, there is necessarily less space per person and this is particularly acute in cities. Perhaps this is why the engineering community seems to be obsessed with folding things. We develop a mathematical approach to “rigid folding” based on the use of piecewise rigid isometric mappings that have a group structure. The ideas are inspired by the way atomistic structures form naturally.
Sunday, October 25, 2015 - 10:50am - 11:30am
Richard James (University of Minnesota, Twin Cities)
A thread of Jerry Ericksen’s research that runs through numerous subject areas – nonlinear elasticity, shells, liquid and solid crystals – is the exploitation of invariance of the basic equations of mechanics. This work involved the continuous groups, with a particular focus on the invariance arising from the condition of frame-indifference of the constitutive equations.
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