Geometrical Foundations of Continuum Mechanics (Record no. 54505)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04312nam a22005415i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-662-46460-1 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200421111653.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 150325s2015 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783662464601 |
| -- | 978-3-662-46460-1 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 620.1 |
| 100 1# - AUTHOR NAME | |
| Author | Steinmann, Paul. |
| 245 10 - TITLE STATEMENT | |
| Title | Geometrical Foundations of Continuum Mechanics |
| Sub Title | An Application to First- and Second-Order Elasticity and Elasto-Plasticity / |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XXIV, 517 p. 59 illus. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Lecture Notes in Applied Mathematics and Mechanics, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Part I Prologue -- Part II Differential Geometry -- Part III Nonlinear Continuum Mechanics -- Part IV Epilogue. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book illustrates the deep roots of the geometrically nonlinear kinematics of generalized continuum mechanics in differential geometry. Besides applications to first- order elasticity and elasto-plasticity an appreciation thereof is particularly illuminating for generalized models of continuum mechanics such as second-order (gradient-type) elasticity and elasto-plasticity. After a motivation that arises from considering geometrically linear first- and second- order crystal plasticity in Part I several concepts from differential geometry, relevant for what follows, such as connection, parallel transport, torsion, curvature, and metric for holonomic and anholonomic coordinate transformations are reiterated in Part II. Then, in Part III, the kinematics of geometrically nonlinear continuum mechanics are considered. There various concepts of differential geometry, in particular aspects related to compatibility, are generically applied to the kinematics of first- and second- order geometrically nonlinear continuum mechanics. Together with the discussion on the integrability conditions for the distortions and double-distortions, the concepts of dislocation, disclination and point-defect density tensors are introduced. For concreteness, after touching on nonlinear fir st- and second-order elasticity, a detailed discussion of the kinematics of (multiplicative) first- and second-order elasto-plasticity is given. The discussion naturally culminates in a comprehensive set of different types of dislocation, disclination and point-defect density tensors. It is argued, that these can potentially be used to model densities of geometrically necessary defects and the accompanying hardening in crystalline materials. Eventually Part IV summarizes the above findings on integrability whereby distinction is made between the straightforward conditions for the distortion and the double-distortion being integrable and the more involved conditions for the strain (metric) and the double-strain (connection) being integrable. The book addresses readers with an interest in continuum modelling of solids from engineering and the sciences alike, whereby a sound knowledge of tensor calculus and continuum mechanics is required as a prerequisite. . |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-3-662-46460-1 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Berlin, Heidelberg : |
| -- | Springer Berlin Heidelberg : |
| -- | Imprint: Springer, |
| -- | 2015. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Applied mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Differential geometry. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Continuum mechanics. |
| 650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Continuum Mechanics and Mechanics of Materials. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Differential Geometry. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Appl.Mathematics/Computational Methods of Engineering. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Applications of Mathematics. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 2197-6724 ; |
| 912 ## - | |
| -- | ZDB-2-ENG |
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