Connecting Atomistic and Continuum Models of Nonlinear Elasticity Theory is popular PDF and ePub book, written by Julian Braun in 2016-11-15, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Connecting Atomistic and Continuum Models of Nonlinear Elasticity Theory can be Read Online from any device for your convenience.
Connecting Atomistic and Continuum Models of Nonlinear Elasticity Theory Book PDF Summary
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.
Detail Book of Connecting Atomistic and Continuum Models of Nonlinear Elasticity Theory PDF
- Author : Julian Braun
- Release : 15 November 2016
- Publisher : Logos Verlag Berlin GmbH
- ISBN : 9783832543631
- Genre : Mathematics
- Total Page : 182 pages
- Language : English
- PDF File Size : 12,6 Mb
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