Overview

This book lays methodically the foundations of an original approach of the solid lattices deformation using the Euler coordinates, and introduces in details the concept of tensor dislocation charges and tensor disclination charges within a lattice. This new concept allows one to quantify the topological singularities which can appear at the microscopic scale of a solid lattice. On the basis of this original approach of the solid lattices and their topological singularities, one can deduce a set of fundamental and phenomenological equations allowing to treat rigorously the macroscopic spatiotemporal evolution of a newtonian solid lattice which deforms in the absolute space of an external observer laboratory.

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9782839919432

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Gerard Gremaud received his diploma in physics engineering in 1974 and his PhD in 1981 at the Swiss Federal Institute of Technology of Lausanne (EPFL). From this date, he became responsible for research at EPFL. In 2005, he obtained the title of Professor of EPFL. In 2011, he has been awarded the Zener medal. Since 2012, he is honorary professor of EPFL. Research fields: dislocation dynamics, structural phase transitions, mechanical and tribological properties at nanoscale, mechanical properties of vibrated granular materials, mechanical spectroscopy.

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