Nonlinear Continuum Mechanics: An Engineering Approach
This textbook on Continuum Mechanics presents 9 chapters. Chapters 1 and 2 are devoted to Tensor Algebra and Tensor Analysis. Part I of the book includes the next 3 chapters. All the content here is valid for both solid and fluid materials. At the end of Part I, the reader should be able to set up i...
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| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer Nature
[2023]
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| Ausgabe: | 1st ed. 2023 |
| Schlagworte: | |
| Zusammenfassung: | This textbook on Continuum Mechanics presents 9 chapters. Chapters 1 and 2 are devoted to Tensor Algebra and Tensor Analysis. Part I of the book includes the next 3 chapters. All the content here is valid for both solid and fluid materials. At the end of Part I, the reader should be able to set up in local spatial/material form, the fundamental governing equations and inequalities for a Continuum Mechanics problem. Part II of the book, Chapters 6 to 10, is devoted to presenting some nonlinear constitutive models for Nonlinear Solid Mechanics, including Finite Deformation Hyperelasticity, Finite Deformation Plasticity, Finite Deformation Coupled Thermoplasticity, and Finite Deformation Contact Mechanics. The constitutive equations are derived within a thermodynamically consistent framework. Finite deformation elastoplasticity models are based on a multiplicative decomposition of the deformation gradient and the notion of an intermediate configuration. Different formulations based on the intermediate configuration, the current or spatial configuration, and the material configuration are considered. The last chapter is devoted to Variational Methods in Solid Mechanics, a fundamental topic in Computational Mechanics. The book may be used as a textbook for an advanced Master’s course on Nonlinear Continuum Mechanics for graduate students in Civil, Mechanical or Aerospace Engineering, Applied Mathematics, or Applied Physics, with an interest in Continuum Mechanics and Computational Mechanics Chapters 1 and 2 are devoted to Tensor Algebra and Tensor Analysis. Chapter 3 is devoted to Nonlinear Kinematics, Chapter 4 deals with Stresses, and Chapter 5 addresses the Fundamental Conservation/Balance Laws. Chapter 6 is devoted to Finite Deformation Hyperelasticity, Chapter 7 to Finite Deformation Plasticity, Chapter 8 to Finite Deformation Coupled Thermoplasticity, and Chapter 9 to Finite Deformation Contact Mechanics. The last chapter, Chapter 10, deals with Variational Methods in Solid Mechanics, including coupled thermoplasticity and contact problems |
| Beschreibung: | xx, 344 Seiten 777 grams |
| ISBN: | 9783031152061 9783031152092 |
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| 520 | |a This textbook on Continuum Mechanics presents 9 chapters. Chapters 1 and 2 are devoted to Tensor Algebra and Tensor Analysis. Part I of the book includes the next 3 chapters. All the content here is valid for both solid and fluid materials. At the end of Part I, the reader should be able to set up in local spatial/material form, the fundamental governing equations and inequalities for a Continuum Mechanics problem. Part II of the book, Chapters 6 to 10, is devoted to presenting some nonlinear constitutive models for Nonlinear Solid Mechanics, including Finite Deformation Hyperelasticity, Finite Deformation Plasticity, Finite Deformation Coupled Thermoplasticity, and Finite Deformation Contact Mechanics. The constitutive equations are derived within a thermodynamically consistent framework. Finite deformation elastoplasticity models are based on a multiplicative decomposition of the deformation gradient and the notion of an intermediate configuration. Different formulations based on the intermediate configuration, the current or spatial configuration, and the material configuration are considered. The last chapter is devoted to Variational Methods in Solid Mechanics, a fundamental topic in Computational Mechanics. The book may be used as a textbook for an advanced Master’s course on Nonlinear Continuum Mechanics for graduate students in Civil, Mechanical or Aerospace Engineering, Applied Mathematics, or Applied Physics, with an interest in Continuum Mechanics and Computational Mechanics | ||
| 520 | |a Chapters 1 and 2 are devoted to Tensor Algebra and Tensor Analysis. Chapter 3 is devoted to Nonlinear Kinematics, Chapter 4 deals with Stresses, and Chapter 5 addresses the Fundamental Conservation/Balance Laws. Chapter 6 is devoted to Finite Deformation Hyperelasticity, Chapter 7 to Finite Deformation Plasticity, Chapter 8 to Finite Deformation Coupled Thermoplasticity, and Chapter 9 to Finite Deformation Contact Mechanics. The last chapter, Chapter 10, deals with Variational Methods in Solid Mechanics, including coupled thermoplasticity and contact problems | ||
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| id | DE-604.BV049350414 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T22:49:32Z |
| indexdate | 2024-07-10T10:02:18Z |
| institution | BVB |
| isbn | 9783031152061 9783031152092 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034610812 |
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| physical | xx, 344 Seiten 777 grams |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | Springer Nature |
| record_format | marc |
| spelling | Agelet de Saracibar, Carlos Verfasser (DE-588)1192218108 aut Nonlinear Continuum Mechanics An Engineering Approach Carlos Agelet de Saracibar 1st ed. 2023 Cham Springer Nature [2023] © 2023 xx, 344 Seiten 777 grams txt rdacontent n rdamedia nc rdacarrier This textbook on Continuum Mechanics presents 9 chapters. Chapters 1 and 2 are devoted to Tensor Algebra and Tensor Analysis. Part I of the book includes the next 3 chapters. All the content here is valid for both solid and fluid materials. At the end of Part I, the reader should be able to set up in local spatial/material form, the fundamental governing equations and inequalities for a Continuum Mechanics problem. Part II of the book, Chapters 6 to 10, is devoted to presenting some nonlinear constitutive models for Nonlinear Solid Mechanics, including Finite Deformation Hyperelasticity, Finite Deformation Plasticity, Finite Deformation Coupled Thermoplasticity, and Finite Deformation Contact Mechanics. The constitutive equations are derived within a thermodynamically consistent framework. Finite deformation elastoplasticity models are based on a multiplicative decomposition of the deformation gradient and the notion of an intermediate configuration. Different formulations based on the intermediate configuration, the current or spatial configuration, and the material configuration are considered. The last chapter is devoted to Variational Methods in Solid Mechanics, a fundamental topic in Computational Mechanics. The book may be used as a textbook for an advanced Master’s course on Nonlinear Continuum Mechanics for graduate students in Civil, Mechanical or Aerospace Engineering, Applied Mathematics, or Applied Physics, with an interest in Continuum Mechanics and Computational Mechanics Chapters 1 and 2 are devoted to Tensor Algebra and Tensor Analysis. Chapter 3 is devoted to Nonlinear Kinematics, Chapter 4 deals with Stresses, and Chapter 5 addresses the Fundamental Conservation/Balance Laws. Chapter 6 is devoted to Finite Deformation Hyperelasticity, Chapter 7 to Finite Deformation Plasticity, Chapter 8 to Finite Deformation Coupled Thermoplasticity, and Chapter 9 to Finite Deformation Contact Mechanics. The last chapter, Chapter 10, deals with Variational Methods in Solid Mechanics, including coupled thermoplasticity and contact problems bicssc bisacsh Continuum mechanics Mechanics, Applied Hardcover, Softcover / Technik/Maschinenbau, Fertigungstechnik Erscheint auch als Online-Ausgabe 978-3-031-15207-8 |
| spellingShingle | Agelet de Saracibar, Carlos Nonlinear Continuum Mechanics An Engineering Approach bicssc bisacsh Continuum mechanics Mechanics, Applied |
| title | Nonlinear Continuum Mechanics An Engineering Approach |
| title_auth | Nonlinear Continuum Mechanics An Engineering Approach |
| title_exact_search | Nonlinear Continuum Mechanics An Engineering Approach |
| title_exact_search_txtP | Nonlinear Continuum Mechanics An Engineering Approach |
| title_full | Nonlinear Continuum Mechanics An Engineering Approach Carlos Agelet de Saracibar |
| title_fullStr | Nonlinear Continuum Mechanics An Engineering Approach Carlos Agelet de Saracibar |
| title_full_unstemmed | Nonlinear Continuum Mechanics An Engineering Approach Carlos Agelet de Saracibar |
| title_short | Nonlinear Continuum Mechanics |
| title_sort | nonlinear continuum mechanics an engineering approach |
| title_sub | An Engineering Approach |
| topic | bicssc bisacsh Continuum mechanics Mechanics, Applied |
| topic_facet | bicssc bisacsh Continuum mechanics Mechanics, Applied |
| work_keys_str_mv | AT ageletdesaracibarcarlos nonlinearcontinuummechanicsanengineeringapproach |