- Hauptmenü-

Katalogdatenanzeige

Generalized Continua and Dislocation Theory: Theoretical Concepts, Computational Methods and Experimental Verification

Kataloginformation Katalogdatensatz500171087 .

Kataloginformation
Feldname	Details
Vorliegende Sprache	eng
ISBN	978-3-7091-1221-2
Name	Sansour, Carlo
Name	Skatulla, Sebastian
Name ANZEIGE DER KETTE	Skatulla, Sebastian
T I T E L	Generalized Continua and Dislocation Theory
Zusatz zum Titel	Theoretical Concepts, Computational Methods and Experimental Verification
Verlagsort	Vienna
Verlag	Springer Vienna
Erscheinungsjahr	2012
Erscheinungsjahr	2012
Umfang	Online-Ressource (X, 318 p. 76 illus, digital)
Reihe	CISM Courses and Lectures ; 537
Notiz / Fußnoten	Description based upon print version of record
Weiterer Inhalt	Title Page; Copyright Page; PREFACE; Table of Contents; Defects, Dislocations and the General Theory of Material Inhomogeneity; 1 Lecture 1: The Eshelby-Kroener View of Defects and their Driving Force: Peach-Koehler Force, Incompatibility, Eshelby Stress; 1.1 The Case of a Dislocation Line (Peach-Koehler Force; Eshelby's Derivation); 1.2 Kroener's Approach to Incompatibility; 1.3 Passing to the Material Framework; 1.4 Local Rearrangement of Matter; 1.5 Back to the Continuous Distribution of Dislocations; 1.6 Conclusion of Lecture 1. 2 Lecture 2: Canonical Momentum and Energy from a Variational Formulation (Noether's Theorem)2.1 Elements of Field Theory; 2.2 Application to First-Gradient Elasticity in Finite Strains; 2.3 Application to Second-Gradient Elasticity in Finite Strains; 2.4 Small Strain Theory; A. Small-strain (first-gradient) theory; B. Small-strain strain-gradient (or second-gradient -of displace-ment) theory; 2.5 Conclusive Remarks of Lecture 2; 3 Lecture 3: Canonical Momentum and Energy from Balance Laws for Dissipative and Complex Media; 3.1 Introduction; 3.2 Reminder. 3.3 Canonical Balance Laws of Momentum and EnergyA. Canonical form of the energy conservation; B. Canonical (material) momentum conservation; 3.4 Examples Without Body Force; A. Pure homogeneous elasticity; B. Inhomogeneous thermoelasticity of conductors; C. Homogeneous dissipative solid material described by means of; 3.5 Variable α as an Additional Degree of Freedom; First law of thermodynamics; Second law of thermodynamics; A. The only dissipative process is heat conduction; B. The Coleman-Noll continuum thermodynamics viewpoint; C. The field-theoretic viewpoint. 3.6 Example: Homogeneous Dissipative Solid Material Described by Means of a Diffusive Internal Variable3.7 Conclusion and Comments; 4 Lecture 4: Exploiting the Canonical Conservation Laws in Defect Mechanics; 4.1 Introduction; 4.2 The Case of Cracks in Pure Homogeneous Elasticity; 4.3 The Case of Cracks in More Complex Situations; 4.4 The Case of Dislocations; 4.5 Microcontinuum Field Theories, Incompatibility, Eshelby Stresses, and Material Forces; A. Compatible case; B. Incompatible case; C. Special cases; Bibliography; Approaches to Generalized Continua; 1 Introduction. 2 Elements of Linear Transformation Groups (Lie Groups)2.1 Definition of transformation groups and the exponential map; 2.2 Tangent spaces and Lie algebras; 2.3 Time derivatives and variations; 3 The rotation group SO(3); 4 Classical formulations with an independent rotation tensor; 4.1 A first formulation with a symmetric stretch tensor; 4.2 A second formulation with a non-symmetric stretch tensor; 4.3 Uniqueness of the decomposition F = RU; 5 The Cosserat continuum; 5.1 Strain measures of the Cosserat continuum; 5.2 The weak form and its corresponding equilibrium equations. 5.3 The configuration space
Titelhinweis	Buchausg. u.d.T.ISBN: 978-3-7091-1221-2
ISBN	ISBN 978-3-7091-1222-9
Klassifikation	TG
	TEC009070
	TEC021000
	*74-06
	74A05
	74E15
	00A79
	620.1
	TA405-409.3
	QA808.2
Kurzbeschreibung	The book contains four lectures on generalized continua and dislocation theory, reflecting the treatment of the subject at different scales. G. Maugin provides a continuum formulation of defects at the heart of which lies the notion of the material configuration and the material driving forces of in-homogeneities such as dislocations, disclinations, point defects, cracks, phase-transition fronts and shock waves. C. Sansour and S. Skatulla start with a compact treatment of linear transformation groups with subsequent excursion into the continuum theory of generalized continua. After a critical assessment a unified framework of the same is presented. The next contribution by S. Forest gives an account on generalized crystal plasticity. Finally, H. Zbib provides an account of dislocation dynamics and illustrates its fundamental importance at the smallest scale. In three contributions extensive computational results of many examples are presented.
SWB-Titel-Idn	36628522X
Signatur	Springer E-Book
Bemerkungen	Elektronischer Volltext - Campuslizenz
Elektronische Adresse	$uhttp://dx.doi.org/10.1007/978-3-7091-1222-9
Internetseite / Link	Volltext
Siehe auch	Volltext
Siehe auch	Cover
Siehe auch	Inhaltstext

ISBD-Anzeige Katalogdatensatz500171087

Kategorien-Anzeige Katalogdatensatz500171087

Titel zur Titelsammlung hinzufügen Katalogdatensatz500171087

Kataloginformation500171087 Datensatzanfang . Kataloginformation500171087 Seitenanfang .

Titel vormerken Katalogdatensatz500171087

Vollanzeige Katalogdaten

Auf diesem Bildschirm erhalten Sie Katalog- und Exemplarinformationen zum ausgewählten Titel.

Im Bereich Kataloginformation werden die bibliographischen Details angezeigt. Per Klick auf Hyperlink-Begriffe wie Schlagwörter, Autoren, Reihen, Körperschaften und Klassifikationen können Sie sich weitere Titel des gewählten Begriffes anzeigen lassen.

Der Bereich Exemplarinformationen enthält zum einen Angaben über den Standort und die Verfügbarkeit der Exemplare. Zum anderen haben Sie die Möglichkeit, ausgeliehene Exemplare vorzumerken oder Exemplare aus dem Magazin zu bestellen.