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(Ebook) Connecting Atomistic and Continuum Models of Nonlinear Elasticity Theory : Rigorous Existence and Convergence Results for the Boundary Value Problems by Julian Braun ISBN 9783832591496, 3832591494

  • SKU: EBN-51656056
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Instant download (eBook) Connecting Atomistic and Continuum Models of Nonlinear Elasticity Theory : Rigorous Existence and Convergence Results for the Boundary Value Problems after payment.
Authors:Julian Braun
Pages:182 pages.
Year:2016
Editon:1
Publisher:Logos Verlag Berlin
Language:english
File Size:1.17 MB
Format:pdf
ISBNS:9783832591496, 3832591494
Categories: Ebooks

Product desciption

(Ebook) Connecting Atomistic and Continuum Models of Nonlinear Elasticity Theory : Rigorous Existence and Convergence Results for the Boundary Value Problems by Julian Braun ISBN 9783832591496, 3832591494

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.
*Free conversion of into popular formats such as PDF, DOCX, DOC, AZW, EPUB, and MOBI after payment.

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