Geometrical foundations of continuum mechanics : (Record no. 1279)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02899nam a22001697a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20211130130452.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 211130b ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783662464595 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.14 |
| Item number | STE |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Steinmann, Paul, |
| 245 ## - TITLE STATEMENT | |
| Title | Geometrical foundations of continuum mechanics : |
| Remainder of title | an application to first- and second-order elasticity and elasto-plasticity |
| Statement of responsibility, etc. | Paul Steinmann |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Heidelberg : |
| Name of publisher, distributor, etc. | Springer, 2015. |
| Date of publication, distribution, etc. | ©2015 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Page number | 517 pages |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Title | Part I Prologue --<br/> |
| -- | Part II Differential Geometry --<br/> |
| -- | Part III Nonlinear Continuum Mechanics --<br/> |
| -- | 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 first- 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 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Books |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) | |
| -- | 4373 |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) | |
| -- | 4374 |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) | |
| -- | 4375 |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) | |
| -- | 4376 |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Shelving location | Date acquired | Inventory number | Total Checkouts | Full call number | Barcode | Date last seen | Cost, replacement price | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | Non-fiction | IIITDM Kurnool | IIITDM Kurnool | General Stacks | 30.11.2021 | 1128631 | 530.14 STE | 0003909 | 30.11.2021 | 133004.00 | 30.11.2021 | Books | |||||
| Dewey Decimal Classification | Non-fiction | IIITDM Kurnool | IIITDM Kurnool | General Stacks | 30.11.2021 | 1128631 | 530.14 STE | 0003910 | 30.11.2021 | 133004.00 | 30.11.2021 | Books | |||||
| Dewey Decimal Classification | Non-fiction | IIITDM Kurnool | IIITDM Kurnool | General Stacks | 30.11.2021 | 1128631 | 530.14 STE | 0003911 | 30.11.2021 | 133004.00 | 30.11.2021 | Books | |||||
| Dewey Decimal Classification | Not For Loan | Reference | IIITDM Kurnool | IIITDM Kurnool | Reference | 30.11.2021 | 1128631 | 530.14 STE | 0003912 | 09.03.2022 | 133004.00 | 30.11.2021 | Reference |