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Connecting Atomistic And Continuum Models Of Nonlinear Elasticity Theory Rigorous Existence And Convergence Results For The Boundary Value Problems 1st Edition Julian Braun

  • SKU: BELL-51656056
Connecting Atomistic And Continuum Models Of Nonlinear Elasticity Theory Rigorous Existence And Convergence Results For The Boundary Value Problems 1st Edition Julian Braun
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Connecting Atomistic And Continuum Models Of Nonlinear Elasticity Theory Rigorous Existence And Convergence Results For The Boundary Value Problems 1st Edition Julian Braun instant download after payment.

Publisher: Logos Verlag Berlin
File Extension: PDF
File size: 1.17 MB
Pages: 182
Author: Julian Braun
ISBN: 9783832591496, 3832591494
Language: English
Year: 2016
Edition: 1

Product desciption

Connecting Atomistic And Continuum Models Of Nonlinear Elasticity Theory Rigorous Existence And Convergence Results For The Boundary Value Problems 1st Edition Julian Braun by Julian Braun 9783832591496, 3832591494 instant download after payment.

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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