Engineering elasticity: elasticity with less stress and strain
This textbook aimed at upper-level undergraduate and graduate engineering students who need to describe the large deformation of elastic materials like soft plastics, rubber, and biological materials. The classical approaches to finite deformations of elastic materials describe a dozen or more measu...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham, Switzerland
Springer
[2022]
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| Schlagworte: | |
| Zusammenfassung: | This textbook aimed at upper-level undergraduate and graduate engineering students who need to describe the large deformation of elastic materials like soft plastics, rubber, and biological materials. The classical approaches to finite deformations of elastic materials describe a dozen or more measures of stress and strain. These classical approaches require an in-depth knowledge of tensor analysis and provide little instruction as to how to relate the derived equations to the materials to be described. This text, by contrast, introduces only one strain measure and one stress measure. No tensor analysis is required. The theory is applied by showing how to measure material properties and to perform computer simulations for both isotropic and anisotropic materials. The theory can be covered in one chapter for students familiar with Euler-Lagrange techniques, but is also introduced more slowly in several chapters for students not familiar with these techniques. The connection to linear elasticity is provided along with a comparison of this approach to classical elasticity |
| Beschreibung: | Getting ready (mostly review).- Deformations.- Forces.- Force-energy relationships.- Isotropic materials.- Minimizing energy.- Simulations.- Quasi-static simulation examples.- The invariants.- Experiments.- Time dependent simulations.- Anisotropic Materials.- Plot deformation, displacements, and forces.- Euler-Lagrange elasticity.- Linear elasticity.- Classical finite elasticity.- Appendix A Deformation in jig coordinates.- Appendix B Origins of Anisotropic Invariants.- Appendix C Euler-Lagrange equations.- Appendix D Project Ideas. |
| Beschreibung: | xv, 271 Seiten Illustrationen, Diagramme 235 mm |
| ISBN: | 9783031091599 |
Internformat
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| 500 | |a Getting ready (mostly review).- Deformations.- Forces.- Force-energy relationships.- Isotropic materials.- Minimizing energy.- Simulations.- Quasi-static simulation examples.- The invariants.- Experiments.- Time dependent simulations.- Anisotropic Materials.- Plot deformation, displacements, and forces.- Euler-Lagrange elasticity.- Linear elasticity.- Classical finite elasticity.- Appendix A Deformation in jig coordinates.- Appendix B Origins of Anisotropic Invariants.- Appendix C Euler-Lagrange equations.- Appendix D Project Ideas. | ||
| 520 | |a This textbook aimed at upper-level undergraduate and graduate engineering students who need to describe the large deformation of elastic materials like soft plastics, rubber, and biological materials. The classical approaches to finite deformations of elastic materials describe a dozen or more measures of stress and strain. These classical approaches require an in-depth knowledge of tensor analysis and provide little instruction as to how to relate the derived equations to the materials to be described. This text, by contrast, introduces only one strain measure and one stress measure. No tensor analysis is required. The theory is applied by showing how to measure material properties and to perform computer simulations for both isotropic and anisotropic materials. The theory can be covered in one chapter for students familiar with Euler-Lagrange techniques, but is also introduced more slowly in several chapters for students not familiar with these techniques. The connection to linear elasticity is provided along with a comparison of this approach to classical elasticity | ||
| 650 | 4 | |a Mechanics, Applied | |
| 650 | 4 | |a Continuum mechanics | |
| 650 | 4 | |a Physics | |
| 650 | 4 | |a Statics | |
| 650 | 4 | |a Materials | |
| 650 | 4 | |a Materials—Fatigue | |
| 653 | |a Hardcover, Softcover / Technik/Maschinenbau, Fertigungstechnik | ||
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-3-031-09157-5 |
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Datensatz im Suchindex
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| author | Hardy, Humphrey |
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| id | DE-604.BV049394387 |
| illustrated | Illustrated |
| index_date | 2024-07-03T23:02:09Z |
| indexdate | 2024-07-10T10:05:51Z |
| institution | BVB |
| isbn | 9783031091599 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034721744 |
| oclc_num | 1416410857 |
| open_access_boolean | |
| owner | DE-29T |
| owner_facet | DE-29T |
| physical | xv, 271 Seiten Illustrationen, Diagramme 235 mm |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | Springer |
| record_format | marc |
| spelling | Hardy, Humphrey Verfasser aut Engineering elasticity elasticity with less stress and strain Humphrey Hardy Cham, Switzerland Springer [2022] xv, 271 Seiten Illustrationen, Diagramme 235 mm txt rdacontent n rdamedia nc rdacarrier Getting ready (mostly review).- Deformations.- Forces.- Force-energy relationships.- Isotropic materials.- Minimizing energy.- Simulations.- Quasi-static simulation examples.- The invariants.- Experiments.- Time dependent simulations.- Anisotropic Materials.- Plot deformation, displacements, and forces.- Euler-Lagrange elasticity.- Linear elasticity.- Classical finite elasticity.- Appendix A Deformation in jig coordinates.- Appendix B Origins of Anisotropic Invariants.- Appendix C Euler-Lagrange equations.- Appendix D Project Ideas. This textbook aimed at upper-level undergraduate and graduate engineering students who need to describe the large deformation of elastic materials like soft plastics, rubber, and biological materials. The classical approaches to finite deformations of elastic materials describe a dozen or more measures of stress and strain. These classical approaches require an in-depth knowledge of tensor analysis and provide little instruction as to how to relate the derived equations to the materials to be described. This text, by contrast, introduces only one strain measure and one stress measure. No tensor analysis is required. The theory is applied by showing how to measure material properties and to perform computer simulations for both isotropic and anisotropic materials. The theory can be covered in one chapter for students familiar with Euler-Lagrange techniques, but is also introduced more slowly in several chapters for students not familiar with these techniques. The connection to linear elasticity is provided along with a comparison of this approach to classical elasticity Mechanics, Applied Continuum mechanics Physics Statics Materials Materials—Fatigue Hardcover, Softcover / Technik/Maschinenbau, Fertigungstechnik Erscheint auch als Online-Ausgabe 978-3-031-09157-5 |
| spellingShingle | Hardy, Humphrey Engineering elasticity elasticity with less stress and strain Mechanics, Applied Continuum mechanics Physics Statics Materials Materials—Fatigue |
| title | Engineering elasticity elasticity with less stress and strain |
| title_auth | Engineering elasticity elasticity with less stress and strain |
| title_exact_search | Engineering elasticity elasticity with less stress and strain |
| title_exact_search_txtP | Engineering elasticity elasticity with less stress and strain |
| title_full | Engineering elasticity elasticity with less stress and strain Humphrey Hardy |
| title_fullStr | Engineering elasticity elasticity with less stress and strain Humphrey Hardy |
| title_full_unstemmed | Engineering elasticity elasticity with less stress and strain Humphrey Hardy |
| title_short | Engineering elasticity |
| title_sort | engineering elasticity elasticity with less stress and strain |
| title_sub | elasticity with less stress and strain |
| topic | Mechanics, Applied Continuum mechanics Physics Statics Materials Materials—Fatigue |
| topic_facet | Mechanics, Applied Continuum mechanics Physics Statics Materials Materials—Fatigue |
| work_keys_str_mv | AT hardyhumphrey engineeringelasticityelasticitywithlessstressandstrain |