Title: Connecting Atomistic and Continuum Models of Nonlinear Elasticity Theory
Publisher: Logos Verlag Berlin
Publication Date: 2016
Language: English
ISBN 10: 3832543635
ISBN 13: 9783832543631
Binding: paperback
Condition: New
Weight: 10 ounces

About this title

Synopsis

The nonlinear elastic behavior of solid materials is often described in the context of continuum mechanics. Alternatively, one can try to determine the behavior of every single atom in the material. Classically, the connection between these two types of models is made with the Cauchy-Born rule. The aim of this book is to provide good criteria for the Cauchy-Born rule to be true and to make the connection between continuum and atomistic models precise. In particular, this includes rigorous proofs for the existence of solutions to the atomistic boundary value problem and their convergence to the corresponding continuum solutions in the limit of small interatomic distances.

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