Introduction to Non-linear Mechanics A Unified Energetical Approach /
This book presents an introduction to the non-linear mechanics of materials, focusing on a unified energetical approach. It begins by summarizing the framework of a thermodynamic description of continua, including a description of the kinematics of deformation, and a summary of the equations of moti...
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| Format: | Elektronski eKnjiga |
| Jezik: | angleščina |
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Cham :
Springer International Publishing : Imprint: Springer,
2024.
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| Izdaja: | 1st ed. 2024. |
| Serija: | Springer Series in Solid and Structural Mechanics,
14 |
| Teme: | |
| Online dostop: | https://doi.org/10.1007/978-3-031-51920-8 |
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| 001 | 978-3-031-51920-8 | ||
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| 082 | 0 | 4 | |a 531.7 |2 23 |
| 100 | 1 | |a Stolz, Claude. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Introduction to Non-linear Mechanics |h [electronic resource] : |b A Unified Energetical Approach / |c by Claude Stolz. |
| 250 | |a 1st ed. 2024. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2024. | |
| 300 | |a 1 online resource (XV, 334 p. 61 illus.). |b 14 illus. in color. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 341 | 0 | |b Table of contents navigation |2 onix | |
| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of colour is Not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background colour |2 onix | |
| 341 | 0 | |b Next / Previous structural navigation |2 onix | |
| 341 | 0 | |b All Non-decorative content supports reading without sight |2 onix | |
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Springer Series in Solid and Structural Mechanics, |x 2195-352X ; |v 14 | |
| 505 | 0 | |a Chapter 1. Introduction -- Chapter 2. Non-linear and linear elasticity -- Chapter 3. Elasto-plasticity -- Chapter 4. Fracture Mechanics -- Chapter 5. Moving Discontinuities -- Chapter 6. Damage modelling and initiation of defect -- Chapter 7. A thermodynamical approach to contact wear -- Chapter 8. Delamination of laminates -- Chapter 9. Micro-macro relations -- Chapter 10. Homogenization in linear elasticity -- Chapter 11. Optimal control and non linear inverse problems -- Chapter 12. Conclusion. | |
| 520 | |a This book presents an introduction to the non-linear mechanics of materials, focusing on a unified energetical approach. It begins by summarizing the framework of a thermodynamic description of continua, including a description of the kinematics of deformation, and a summary of the equations of motion. After a short description of the motion of the system and the mechanical interaction, the book introduces the Lagrangean and Hamiltonian functionals of the system, transitioning to the quasistatic characterization with emphasis on the role of potential energy and pseudo-potential of dissipation. The framework is then extended to fracture and damage mechanics with a similar energetical approach proposed for material damage and wear. The book looks at homogenization in non-linear mechanics for locally plastic or damaged material with an analysis of stability and bifurcation of the equilibrium path. Lastly, inverse problems in non-linear mechanics are introduced using optimal control theory. All the concepts introduced in the book are illustrated using analytical solutions on beams, rods, plates, or using spherical and cylindrical symmetries. Graduate students and researchers working on continuum mechanics and interested in a deeper understanding of materials damage, wear, and fatigue will find this book instructive and informative. | ||
| 532 | 8 | |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Continuum mechanics. | |
| 650 | 0 | |a Thermodynamics. | |
| 650 | 0 | |a Materials |x Fatigue. | |
| 650 | 0 | |a Mechanics, Applied. | |
| 650 | 0 | |a Solids. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Metals. | |
| 650 | 1 | 4 | |a Continuum Mechanics. |
| 650 | 2 | 4 | |a Thermodynamics. |
| 650 | 2 | 4 | |a Materials Fatigue. |
| 650 | 2 | 4 | |a Solid Mechanics. |
| 650 | 2 | 4 | |a Mathematical Methods in Physics. |
| 650 | 2 | 4 | |a Metals and Alloys. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031519192 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031519215 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031519222 |
| 830 | 0 | |a Springer Series in Solid and Structural Mechanics, |x 2195-352X ; |v 14 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-51920-8 |
| 912 | |a ZDB-2-PHA | ||
| 912 | |a ZDB-2-SXP | ||
| 950 | |a Physics and Astronomy (SpringerNature-11651) | ||
| 950 | |a Physics and Astronomy (R0) (SpringerNature-43715) | ||