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 theori...
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| Format: | text |
| Language: | eng |
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Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd,
[202
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| _version_ | 1826470266509721600 |
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| author | Lee, James D., author 636092 Li, Jiaoyan, author 636093 |
| author_facet | Lee, James D., author 636092 Li, Jiaoyan, author 636093 |
| author_sort | Lee, James D., author 636092 |
| collection | OCEAN |
| description | 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. |
| first_indexed | 2024-03-05T16:45:39Z |
| format | text |
| id | KOHA-OAI-TEST:593405 |
| institution | Universiti Teknologi Malaysia - OCEAN |
| language | eng |
| last_indexed | 2024-04-17T15:15:11Z |
| publishDate | [202 |
| publisher | Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd, |
| record_format | dspace |
| spelling | KOHA-OAI-TEST:5934052024-04-17T03:50:08ZAdvanced Continuum Theories and Finite Element Analyses / Lee, James D., author 636092 Li, Jiaoyan, author 636093 textSingapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd,[2020]©2020engThis 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.Includes bibliographical references and index.Part I: Classical Continuum Mechanics -- Chapter 1: Kinematics of Classical Continuum Mechanics -- Chapter 2: Stresses -- Chapter 3: Balance Laws -- Chapter 4: Constitutive Theory -- Chapter 5: Simple Thermoviscoelasticity -- Chapter 6: Fluid Dynamics -- Chapter 7: Thermoelasticity and Viscoelasticity -- Chapter 8: Elasticity -- Chapter 9: Plasticity -- Chapter 10: Electromagnetic Interactions -- Part II: Microcontinuum Field Theories -- Chapter 11: Kinematics of Microcontinuum Field Theories -- Chapter 12: Stresses and balance laws -- Chapter 13: Constitutive theory -- Chapter 14: Thermomechanical materials -- Chapter 15: Micromorphic and micropolar fluids -- Chapter 16: Micromorpic plasticity -- Chapter 17: Material force -- Chapter Thermomechanical-electromagnetic coupling -- Part III: Finite element analyses -- Chapter 19: Preliminaries -- Chapter 20: Finite Element Formulation of Classical Continuum Mechanics -- Chapter 21: Dynamic Crack Propagation -- Chapter 22: Finite Element Formulation of General Micromorphic Theory -- Chapter 23: Finite Element Formulation of Linear Micromorphic Theory -- Chapter 24: Passage to finite element formulation of micropolar theory -- Part IV: Special Topics -- Chapter 25: Nonlocal Theory -- Chapter 26: Mechanobiology -- Chapter 27: 4D Printing -- Chapter 28: Poroelasticity -- Chapter 29: Nematic Liquid Crystal -- Appendix A Tensor Analysis -- Appendix B Representation Theorm.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.PSZ_JBContinuum mechanicsFinite element methodURN:ISBN:9789811201486 |
| spellingShingle | Continuum mechanics Finite element method Lee, James D., author 636092 Li, Jiaoyan, author 636093 Advanced Continuum Theories and Finite Element Analyses / |
| title | Advanced Continuum Theories and Finite Element Analyses / |
| title_full | Advanced Continuum Theories and Finite Element Analyses / |
| title_fullStr | Advanced Continuum Theories and Finite Element Analyses / |
| title_full_unstemmed | Advanced Continuum Theories and Finite Element Analyses / |
| title_short | Advanced Continuum Theories and Finite Element Analyses / |
| title_sort | advanced continuum theories and finite element analyses |
| topic | Continuum mechanics Finite element method |
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