Advanced continuum theories and finite element analyses:
"This comprehensive volume presents a unified framework of continuum theories. It indicates that (i) microcontinuum theories (micromorphic and micropolar theories) are natural extension of classical continuum mechanics, and (ii) classical continuum mechanics is a special case of microcontinuum...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New Jersey ; London ; Singapore
World Scientific
[2020]
|
| Schriftenreihe: | Frontier research in computation and mechanics of materials and biology
Vol. 2 |
| Schlagworte: | |
| Online-Zugang: | TUM01 Volltext |
| Zusammenfassung: | "This comprehensive volume presents a unified framework of continuum theories. It indicates that (i) microcontinuum theories (micromorphic and micropolar theories) are natural extension of classical continuum mechanics, and (ii) classical continuum mechanics is a special case of microcontinuum theories when the deformable material point is idealized as a single mathematical point. The kinematics and basic laws are rigorously derived. Based on axiomatic approach, constitutive theory is systematically derived for various kinds of materials, ranging from Stokesian fluid to thermo-visco-elastic-plastic solid. Material force and Thermomechanical-electromagnetic coupling are introduced and discussed. Moreover, general finite element methods for large-strain thermomechanical coupling physical phenomena are systematically formulated. Also, non-classical continuum theories (Nonlocal Theory, Mechanobiology, 4D printing, Poromechanics, and Non-Self-Similar Crack Propagation) are rigorously formulated with applications and demonstrated numerically. As an advanced monograph, this unique compendium can also be used as a textbook for several graduate courses, including continuum mechanics, finite element methods, and advanced engineering science theories. Extensive problems are provided to help students to better understand the topics covered"--Publisher's website |
| Beschreibung: | 1 Online-Ressource (xviii, 504 Seiten) |
| ISBN: | 9789811201493 9789811201486 |
| DOI: | 10.1142/11312 |
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| 520 | |a "This comprehensive volume presents a unified framework of continuum theories. It indicates that (i) microcontinuum theories (micromorphic and micropolar theories) are natural extension of classical continuum mechanics, and (ii) classical continuum mechanics is a special case of microcontinuum theories when the deformable material point is idealized as a single mathematical point. The kinematics and basic laws are rigorously derived. Based on axiomatic approach, constitutive theory is systematically derived for various kinds of materials, ranging from Stokesian fluid to thermo-visco-elastic-plastic solid. Material force and Thermomechanical-electromagnetic coupling are introduced and discussed. Moreover, general finite element methods for large-strain thermomechanical coupling physical phenomena are systematically formulated. Also, non-classical continuum theories (Nonlocal Theory, Mechanobiology, 4D printing, Poromechanics, and Non-Self-Similar Crack Propagation) are rigorously formulated with applications and demonstrated numerically. As an advanced monograph, this unique compendium can also be used as a textbook for several graduate courses, including continuum mechanics, finite element methods, and advanced engineering science theories. Extensive problems are provided to help students to better understand the topics covered"--Publisher's website | ||
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| discipline | Physik Mathematik |
| discipline_str_mv | Physik Mathematik |
| doi_str_mv | 10.1142/11312 |
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| id | DE-604.BV047124169 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T16:30:24Z |
| indexdate | 2024-07-10T09:03:18Z |
| institution | BVB |
| isbn | 9789811201493 9789811201486 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032530409 |
| oclc_num | 1237585632 |
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| owner_facet | DE-91 DE-BY-TUM |
| physical | 1 Online-Ressource (xviii, 504 Seiten) |
| psigel | ZDB-124-WOP ZDB-124-WOP TUM_PDA_WOP_Kauf |
| publishDate | 2020 |
| publishDateSearch | 2020 |
| publishDateSort | 2020 |
| publisher | World Scientific |
| record_format | marc |
| series | Frontier research in computation and mechanics of materials and biology |
| series2 | Frontier research in computation and mechanics of materials and biology |
| spelling | Lee, James D. Verfasser aut Advanced continuum theories and finite element analyses James D Lee, Jiaoyan Li New Jersey ; London ; Singapore World Scientific [2020] 1 Online-Ressource (xviii, 504 Seiten) txt rdacontent c rdamedia cr rdacarrier Frontier research in computation and mechanics of materials and biology Vol. 2 "This comprehensive volume presents a unified framework of continuum theories. It indicates that (i) microcontinuum theories (micromorphic and micropolar theories) are natural extension of classical continuum mechanics, and (ii) classical continuum mechanics is a special case of microcontinuum theories when the deformable material point is idealized as a single mathematical point. The kinematics and basic laws are rigorously derived. Based on axiomatic approach, constitutive theory is systematically derived for various kinds of materials, ranging from Stokesian fluid to thermo-visco-elastic-plastic solid. Material force and Thermomechanical-electromagnetic coupling are introduced and discussed. Moreover, general finite element methods for large-strain thermomechanical coupling physical phenomena are systematically formulated. Also, non-classical continuum theories (Nonlocal Theory, Mechanobiology, 4D printing, Poromechanics, and Non-Self-Similar Crack Propagation) are rigorously formulated with applications and demonstrated numerically. As an advanced monograph, this unique compendium can also be used as a textbook for several graduate courses, including continuum mechanics, finite element methods, and advanced engineering science theories. Extensive problems are provided to help students to better understand the topics covered"--Publisher's website Continuum mechanics Finite element method Li, Jiaoyan aut Frontier research in computation and mechanics of materials and biology Vol. 2 (DE-604)BV047846138 2 https://doi.org/10.1142/11312 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Lee, James D. Li, Jiaoyan Advanced continuum theories and finite element analyses Frontier research in computation and mechanics of materials and biology Continuum mechanics Finite element method |
| title | Advanced continuum theories and finite element analyses |
| title_auth | Advanced continuum theories and finite element analyses |
| title_exact_search | Advanced continuum theories and finite element analyses |
| title_exact_search_txtP | Advanced continuum theories and finite element analyses |
| title_full | Advanced continuum theories and finite element analyses James D Lee, Jiaoyan Li |
| title_fullStr | Advanced continuum theories and finite element analyses James D Lee, Jiaoyan Li |
| title_full_unstemmed | Advanced continuum theories and finite element analyses James D Lee, Jiaoyan Li |
| title_short | Advanced continuum theories and finite element analyses |
| title_sort | advanced continuum theories and finite element analyses |
| topic | Continuum mechanics Finite element method |
| topic_facet | Continuum mechanics Finite element method |
| url | https://doi.org/10.1142/11312 |
| volume_link | (DE-604)BV047846138 |
| work_keys_str_mv | AT leejamesd advancedcontinuumtheoriesandfiniteelementanalyses AT lijiaoyan advancedcontinuumtheoriesandfiniteelementanalyses |