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Multiple scale methodology will play a central role in computational mechanics and materials science for the foreseeable future. Nano Mechanics and Materials summarizes past and current developments in multiple scale modelling. It provides a coherent starting point from which interested scientists and engineers can begin their forays into this vast and rapidly expanding subject matter. This book is one of the first systematic works providing knowledge about fundamental concepts behind nanoscale mechanics and materials, and their relevant applications. It contains both published and previously unpublished material, and is aimed at nanoscale engineers, designers, materials scientists as well as interested students. It can also be used as an educational tool. The materials in this book were previously used for University courses and have been coherently combined with Powerpoint lecture notes and simple computer codes, readily accessible to those who are interested in contributing to this exciting field.
This book introduces Mechanistic Data Science (MDS) as a structured methodology for combining data science tools with mathematical scientific principles (i.e., "mechanistic" principles) to solve intractable problems.
Meshfree Particle Methods is a comprehensive and systematic exposition of particle methods, meshfree Galerkin and partitition of unity methods, molecular dynamics methods, and multiscale methods. Most theories, computational formulations, and simulation results presented are recent developments in meshfree methods.
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