Advances in applied mechanics. Volume 47 / edited by Stéphane P. A Bordas.

Format:

Book

Author/Creator:

Bordas, Stéphane P., author.

Contributor:

Bordas, Stéphane P., editor.

Language:

English

Subjects (All):

Mechanics, Applied.

Physical Description:

1 online resource (ix, 525 pages)

Edition:

First edition.

Place of Publication:

London, England : Academic Press, 2014.

Language Note:

English

System Details:

text file

Summary:

Advances in Applied Mechanics draws together recent significant advances in various topics in applied mechanics. Published since 1948, Advances in Applied Mechanics aims to provide authoritative review articles on topics in the mechanical sciences, primarily of interest to scientists and engineers working in the various branches of mechanics, but also of interest to the many who use the results of investigations in mechanics in various application areas, such as aerospace, chemical, civil, environmental, mechanical and nuclear engineering. Covers all fields of the mechanical sciences Highli

Contents:

Front Cover; Advances in Applied Mechanics; Copyright; Contents; Contributors; Preface; Chapter One: Mechanics of Material Mutations; 1. A General View; 1.1 A Matter of Terminology; 1.2 Material Elements: Monads or Systems?; 1.3 Manifold of Microstructural Shapes; 1.4 Caution; 1.5 Refined Descriptions of the Material Texture; 1.6 Comparison Between Microstructural Descriptor Mapsand Displacements over M; 1.7 Classification of Microstructural Defects; 1.8 Macroscopic Mutations; 1.9 Multiple Reference Shapes; 1.10 Micro-to-Macro Interactions; 1.11 A Plan for the Next Sections; 1.12 Advantages

1.13 Readership2. Material Morphologies and Deformations; 2.1 Gross Shapes and Macroscopic Strain Measures; 2.2 Maps Describing the Inner Morphology; 2.3 Additional Remarks on Strain Measures; 2.4 Motions; 2.5 Further Geometric Notes; 3. Observers; 3.1 Isometry-Based Changes in Observers; 3.1.1 Class 1: Leaving Invariant the Reference Space; 3.1.2 Class 2: Changing the Reference Space by Isometries; 3.2 Diffeomorphism-Based Changes in Observers; 3.2.1 Generalized Class 1; 3.2.2 Generalized Class 2; 3.3 Notes on Definitions and Use of Changes in Observers

4. The Relative Power in the Case of Bulk Mutations4.1 External Power of Standard and Microstructural Actions; 4.2 Cauchy's Theorem for Microstructural Contact Actions; 4.3 The Relative Power: A Definition; 4.4 Kinetics; 4.5 Invariance of the Relative Power Under Isometry-Based Changesin Observers; 4.6 And If We Disregard M During Changes in the Observers?; 4.7 Perspectives: Low-Dimensional Defects, Strain-Gradient Materials, Covariance of the Second Law; 5. Balance Equations from the Second Law of Thermodynamics: The Caseof Hardening Plasticity; 5.1 Multiplicative Decomposition of F

5.2 Factorization of Changes in Observers5.3 A Version of the Second Law of Thermodynamics Involvingthe Relative Power; 5.4 Specific Constitutive Assumptions; 5.5 The Covariance Principle in a Dissipative Setting; 5.6 The Covariance Result for Standard Hardening Plasticity; 5.7 Doyle-Ericksen Formula in Hardening Plasticity; 5.8 Remarks and Perspectives; 6. Parameterized Families of Reference Shapes: A Tool for Describing Crack Nucleation; 6.1 A Remark on Standard Finite-Strain Elasticity; 6.2 The Current of a Map and the Inner Work of Elastic Simple Bodies; 6.3 The Griffith Energy

6.4 Aspects of a Geometric View Leading to an Extension of the Griffith Energy6.5 Cracks in Terms of Stratified Curvature Varifolds; 6.6 Generalizing the Griffith Energy; 6.7 The Contribution of Microstructures; 7. Notes and Further Perspectives; Acknowledgment; References; Chapter Two: Dynamic Discrete Dislocation Plasticity; 1. Introduction; 2. Discrete Dislocation Dynamics; 2.1 Methods of Dislocation Dynamics; 3. Dynamic Effects in the Motion of Dislocations; 3.1 Elastic Fields of a Preexisting, Uniformly Moving Edge Dislocation; 3.2 Relativistic Effects

3.3 Core Instabilities and Kinematic Generation

Notes:

Description based upon print version of record.

Includes bibliographical references at the end of each chapters and index.

Description based on online resource; title from PDF title page (ebrary, viewed December 12, 2014).

ISBN:

9780128003022

0128003022

OCLC:

903403741