Connecting Atomistic and Continuum Models of Nonlinear Elasticity Theory

Rigorous Existence and Convergence Results for the Boundary Value Problems

By (author) Julian Braun

Book cover: Connecting Atomistic and Continuum Models of Nonlinear Elasticity Theory

Extent: 179, 179 pages

Publisher: Logos Verlag Berlin

Subjects: Technical Sciences: Computer Science, Engineering, IT, & Math

Series: Augsburger Schriften zur Mathematik, Physik und Informatik

Series volume number: 31

Language: English

Paperback (Published)

(November 2016)

ISBN: 9783832543631

5.71 x 8.27 inches

Price: $54.00

Out of stock

Synopsis
Contributing Authors

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

Rigorous Numerics using Conley Index Theory

Volume 9

By (author) Ulrich Miller

Quiver D-Modules and the Riemann-Hilbert Correspondence

Volume 30

By (author) Stephanie Zapf

Realistic Modeling of Strongly Correlated Electron Systems

Volume 6

By (author) Georg Keller

Multiscale modeling and homogenization of reaction-diffusion systems involving biological surfaces

Volume 21

By (author) Isabella Graf

The Effect of a Singular Perturbation to a 1-d Non-Convex Variational Problem

Volume 10

By (author) Markus Lilli

Derived Manifolds from Functors of Points

Volume 22

By (author) Franz Vogler

Nonconvex radially symmetric variational problems

Volume 11

By (author) Stefan Kromer

Harmonic Limits of Dynamical and Control Systems

Volume 14

By (author) Tobias Wichtrey

The Interplay of Structural and Electronic Properties in Transition Metal Oxides

Volume 4

By (author) Udo Schwingenschlogl

Adaptive Finite Elements in the Discretization of Parabolic Problems

Volume 15

By (author) Christian A Moller

On the Stability of Objective Structures

Volume 38

By (author) Martin Steinbach

Book cover: Decoherence and Time-Resolved Readout in Superconducting Quantum Circuits (Dekoharenz und zeitaufgelosste Quantenmessung in supraleitenden Schaltkreisen)

Decoherence and Time-Resolved Readout in Superconducting Quantum Circuits (Dekoharenz und zeitaufgelosste Quantenmessung in supraleitenden Schaltkreisen)

Volume 16

By (author) Georg M Reuther

Dynamic iteration and model order reduction for magneto-quasistatic systems

Volume 35

By (author) Johanna Kerler-Back

Exploratory Model Comparison

Volume 17

By (author) Ralf Seger

Global Regularity and Uniqueness of Solutions in a Surface Growth Model Using Rigorous A-Posteriori Methods

Volume 32

By (author) Christian Nolde

A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods

Volume 19

By (author) Johannes Neher

Commutability of Gamma-limits in Problems with Multiple Scales

Volume 33

By (author) Martin Jesenko

D-modules

Local formal convolution of elementary formal meromorphic connections

Volume 27

By (author) Robert Gelb

The Lifted Root Number Conjecture for small sets of places and an application to CM-extensions

Volume 12

By (author) Andreas Nickel

$Book cover: Model reduction and optimal control in field-flow fractionation$ Model reduction and optimal control in field-flow fractionation

Volume 34

By (author) Carina Willbold

Effective Theories for Brittle Materials

A Derivation of Cleavage Laws and Linearized Griffith Energies from Atomistic and Continuum Nonlinear Models

Volume 28

By (author) Manuel Friedrich

Local Minimizers of Singularly Perturbed Functionals with Nonlocal Term

Volume 7

By (author) Niko Tzoukmanis

Stokes Structure and Direct Image of Irregular Singular D-Modules

Volume 29

By (author) Hedwig Heizinger

Similar Books

The New Other

Alien Intelligence and the Innovation Drive

By (author) Amy Levy

Transitive Media [Philosophy]

Think(er)ing Technologies in Real-Time

By (author) Wolfgang Ernst

Care in an Era of New Technologies and Artificial Intelligence

Relationships in a Connected World

Volume 14

By (author) V. Nurock

City in the Cloud – Data on the Ground

The Architecture of Data (English-language)

Edited by Damjan Kokalevski Edited by Andres Lepik Edited by Cara Hähl-Pfeifer Contributions by James…

Global Histories of Video Game Music Technology

Volume 8

Edited by Karen M. Cook Edited by William Bibbons Edited by Fanny Rebillard

Natural Resources in Early Modern Economies of Knowledge

Volume 40

Edited by Pietro Daniel Omodeo Edited by Helge Wendt

Physical Characterization of Coatings

Introduction to Rheology and Surface Analysis

By (author) Michael Osterhold

The Digital Turn in Religious Studies

Research, Services, Infrastructures

Edited by Alberto Melloni Edited by Francesca Cadeddu

The Physics of the Mind

New Perspectives for Psychotherapists, Healers and Seekers

By (author) Phil Mollon

Buchblogs zwischen Passion und Profession

Zur Diskursivierung digitaler literaturbezogener Anschlusskommunikation als Arbeit

By (author) Kristina Petzold

Die Einführung ins richtige Handeln in der Arithmetik (Madḫal ar-rašad ilā ʿilm al-ʿadad) von al-Qalaṣādī (st. 1486)

Bearbeitung und Einordnung in die maġribinische Mathematikgeschichte

Volume 19

By (author) Ulrich Rebstock

Digitale Medien und Religionsunterricht

Ein domänenspezifischer Beitrag zu einer kritischen Medienbildung unter Berücksichtigung medien-, bildungs- und lerntheoretischer Perspektiven

By (author) Anja Graf

Ein Glucksritter als Wegbereiter der Motorisierung

Der Basler Kaufmann Eduard Burckhardt (1847-1897)

by Christoph Ditzler and Ilse Rolle Ditzler

Erinnerung an Wilhelm Gottlieb Hankel (1814–1899) aus Anlass seines 125. Todestages

By (author) Bodo Geyer

Falschung, Betrug, Beliebigkeit

der Vertrauensverlust der Wissenschaft

by Manfred Velden

Leó Szilárd – Der Mann hinter der Bombe

By (author) Arne Molfenter

Partizipative Produktentwicklung in der Modeindustrie

Methoden, Vorgehensmodelle und ihre Anwendung in der Wertschöpfung smarter Outdoorbekleidung

By (author) Laura Tihon

Articulations of the Nuclear

Postwar Japan under the Spell of the Atomic Age

Volume 13

edited by Stephan Kohn and Katharina Hulsmann

Artificial Morality

An Exploration of Moral Machines

Volume 4

by Andrei Nutas

Decameter Radio Emission of the Sun

edited by Valentin Nikolayevich Melnik and Helmut O. Rucker

Development of a telemetry system for monitoring piston characteristics inside combustion engines

By (author) Paul Lagaly

Global History of Techniques

(19th-21st Centuries)

Volume 9

Edited by Guillaume Carnino Edited by Liliane Hilaire-Perez Edited by Jerome Lamy

Heterarchical Production Planning and Control Architectures in the Context of Industry 4.0

Complexity-based Selection and Guidance for Implementation

Volume 67

By (author) Dennis Horstkemper

Language, Technology, Humanities in Society 5.0

Edited by Maria Banaś Edited by Grzegorz Wlaźlak

Numbers, Measures, and the Transfer of Goods in Prehistory

Volume 6

Edited by Philippe Della Casa Edited by Aleksander Dzbyński

On the Scattering Behavior of Dielectric Corner Reflectors in Distributed Radar Systems

By (author) Christian Alexander Buchberger

Proceedings of the 7th Symposium of the Hellenic Society for Archaeometry

Archaeology Archaeometry: 30 Years Later

Edited by Eleni Filippaki

RNA Made Simple

The Essential Guide to Extraction

By (author) Christian Siadjeu By (author) Dirk C Albach

Route and Operating Optimization of Maritime Vessels Using Machine Learning Techniques

By (author) Mohammad Hossein Moradi

Short-Term Load Forecasting using Machine Learning Methods

Volume 7

By (author) Sylwia Henselmeyer

Sovereign by Design

The LIONS Approach to Digital Sovereignty

Edited by Isabelle Fries Edited by Michael Grabatin Edited by Manfred Hofmeier

The Promise and Peril of AI and IA

New Technology Meets Religion, Theology, and Ethics

edited by Ted Peters

Die unsichtbare Welt

Beitrage zur Weltwahrnehmung in den Wissenschaften

edited by Klaus Bohmer, Paul-Gerhard Reinhard and Dirk Evers

A Cultural History of Silicon Valley

Volume 325

By (author) Neslihan Bulut

I disegni e i discorsi di Giovanni Antonio Nigrone vol. I

fontanaro e ingegniero de acqua (1585-1609 ca.)

Volume 481

by Gaia Bruno

I disegni e i discorsi di Giovanni Antonio Nigrone vol. II

Fontanaro e ingegniero de acqua (1585-1609 ca.)

Volume 497

edited by Gaia Bruno and David Gentilcore

Ingenieurs mais apprentis

Volume 32

by Arnaud Pierrel

Annual Report 2022

Laboratory of Ion Beam Physics

By (author) LIBRUM Publishers & Editors

Building and Designing Transistor Radios

A Beginner's Guide

by R H Warring

Building and Designing Transistor Radios

A Beginner's Guide

by R H Warring

Learning with Light and Shadows

Educational Lantern and Film Projection, 1860-1990

Volume 8

Edited by Nelleke Teughels Edited by Kaat Wils

Learning-based Model Predictive Control with closed-loop guarantees

By (author) Raffaele Soloperto

Connecting Atomistic and Continuum Models of Nonlinear Elasticity Theory

Tell a Colleague/Librarian/Friend

Other Titles in this Series

Similar Books

Join the ISD Mailing List