Differential geometry and kinematics of continua:
This book provides definitions and mathematical derivations of fundamental relationships of tensor analysis encountered in nonlinear continuum mechanics and continuum physics, with a focus on finite deformation kinematics and classical differential geometry. Of particular interest are anholonomic as...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c2015
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| Subjects: | |
| Links: | http://www.worldscientific.com/worldscibooks/10.1142/9220#t=toc http://www.worldscientific.com/worldscibooks/10.1142/9220#t=toc |
| Summary: | This book provides definitions and mathematical derivations of fundamental relationships of tensor analysis encountered in nonlinear continuum mechanics and continuum physics, with a focus on finite deformation kinematics and classical differential geometry. Of particular interest are anholonomic aspects arising from a multiplicative decomposition of the deformation gradient into two terms, neither of which in isolation necessarily obeys the integrability conditions satisfied by the gradient of a smooth vector field. The concise format emphasizes clarity and ease of reference, and detailed step-by-step derivations of most analytical results are provided |
| Physical Description: | ix, 182 p. ill |
| ISBN: | 9789814616041 |
Staff View
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| 245 | 1 | 0 | |a Differential geometry and kinematics of continua |c John D. Clayton |
| 264 | 1 | |a Singapore |b World Scientific Pub. Co. |c c2015 | |
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| 520 | |a This book provides definitions and mathematical derivations of fundamental relationships of tensor analysis encountered in nonlinear continuum mechanics and continuum physics, with a focus on finite deformation kinematics and classical differential geometry. Of particular interest are anholonomic aspects arising from a multiplicative decomposition of the deformation gradient into two terms, neither of which in isolation necessarily obeys the integrability conditions satisfied by the gradient of a smooth vector field. The concise format emphasizes clarity and ease of reference, and detailed step-by-step derivations of most analytical results are provided | ||
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| dewey-full | 516.36 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.36 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044640427 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T18:07:48Z |
| institution | BVB |
| isbn | 9789814616041 |
| language | English |
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| physical | ix, 182 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | World Scientific Pub. Co. |
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| spelling | Clayton, John D. 1976- Verfasser aut Differential geometry and kinematics of continua John D. Clayton Singapore World Scientific Pub. Co. c2015 ix, 182 p. ill txt rdacontent c rdamedia cr rdacarrier This book provides definitions and mathematical derivations of fundamental relationships of tensor analysis encountered in nonlinear continuum mechanics and continuum physics, with a focus on finite deformation kinematics and classical differential geometry. Of particular interest are anholonomic aspects arising from a multiplicative decomposition of the deformation gradient into two terms, neither of which in isolation necessarily obeys the integrability conditions satisfied by the gradient of a smooth vector field. The concise format emphasizes clarity and ease of reference, and detailed step-by-step derivations of most analytical results are provided Geometry, Differential Calculus of tensors Continuum mechanics Field theory (Physics) Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 s Kontinuumsmechanik (DE-588)4032296-8 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789814616034 http://www.worldscientific.com/worldscibooks/10.1142/9220#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Clayton, John D. 1976- Differential geometry and kinematics of continua Geometry, Differential Calculus of tensors Continuum mechanics Field theory (Physics) Kontinuumsmechanik (DE-588)4032296-8 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4032296-8 (DE-588)4012248-7 |
| title | Differential geometry and kinematics of continua |
| title_auth | Differential geometry and kinematics of continua |
| title_exact_search | Differential geometry and kinematics of continua |
| title_full | Differential geometry and kinematics of continua John D. Clayton |
| title_fullStr | Differential geometry and kinematics of continua John D. Clayton |
| title_full_unstemmed | Differential geometry and kinematics of continua John D. Clayton |
| title_short | Differential geometry and kinematics of continua |
| title_sort | differential geometry and kinematics of continua |
| topic | Geometry, Differential Calculus of tensors Continuum mechanics Field theory (Physics) Kontinuumsmechanik (DE-588)4032296-8 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Geometry, Differential Calculus of tensors Continuum mechanics Field theory (Physics) Kontinuumsmechanik Differentialgeometrie |
| url | http://www.worldscientific.com/worldscibooks/10.1142/9220#t=toc |
| work_keys_str_mv | AT claytonjohnd differentialgeometryandkinematicsofcontinua |