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Analytical solutions of dynamic fracture and friction at the atomic scale

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WHTW01 - Factorisation of matrix functions: New techniques and applications

Following an example set by Slepyan, it proves possible to employ the Wiener-Hopf method to obtain exact solutions for fracture and friction problems at the atomic scale. I will describe a number of physical phenomena that have been analyzed in this way. These include the velocity gap and micro-branching instability for dynamic cracks, a connection of friction with self-healing pulses, and resolution of the energy transport paradox for supersonic cracks.

This talk is part of the Isaac Newton Institute Seminar Series series.

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