Connecting Atomistic and Continuum Models of Nonlinear Elasticity Theory
Rigorous Existence and Convergence Results for the Boundary Value Problems
By (author) Julian Braun
Paperback (Published)
(November 2016)
ISBN: 9783832543631
5.75 x 8.31 inches
Price: $54.00
On back order
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.
- By (author) Julian Braun
Other Titles in this Series
Multiscale modeling and homogenization of reaction-diffusion systems involving biological surfaces
Volume 21
The Lifted Root Number Conjecture for small sets of places and an application to CM-extensions
Volume 12
Effective Theories for Brittle Materials
A Derivation of Cleavage Laws and Linearized Griffith Energies from Atomistic and Continuum Nonlinear Models
Volume 28
