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 ...
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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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Add this copy of Connecting Atomistic and Continuum Models of Nonlinear to cart. $137.86, new condition, Sold by Kennys.ie rated 4.0 out of 5 stars, ships from Galway, IRELAND, published 2016 by Logos Verlag Berlin GmbH.
Add this copy of Connecting Atomistic and Continuum Models of Nonlinear to cart. $61.00, new condition, Sold by ISD rated 5.0 out of 5 stars, ships from Bristol, CT, UNITED STATES, published 2016 by Logos Verlag Berlin.
Add this copy of Connecting Atomistic and Continuum Models of Nonlinear to cart. $92.67, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2016 by Logos Verlag Berlin.
