BÜCHER VERSANDKOSTENFREI INNERHALB DEUTSCHLANDS
Connecting Atomistic and Continuum Models of Nonlinear Elasticity Theory
Rigorous Existence and Convergence Results for the Boundary Value Problems
Logos
ISBN 978-3-8325-4363-1
Standardpreis
Bibliografische Daten
Buch. Softcover
2016
In englischer Sprache
Umfang: 179 S.
Format (B x L): 14,5 x 21 cm
Verlag: Logos
ISBN: 978-3-8325-4363-1
Weiterführende bibliografische Daten
Das Werk ist Teil der Reihe: Augsburger Schriften zur Mathematik, Physik und Informatik; 31
Produktbeschreibung
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.
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.
Autorinnen und Autoren
Produktsicherheit
Hersteller
Logos Verlag Berlin GmbH
Georg-Knorr-Str. 4, Geb. 10
12681 Berlin, DE
redaktion@logos-verlag.de
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