Nonlinear solid mechanics: bifurcation theory and material instability
This book covers solid mechanics for non-linear elastic and elastoplastic materials, describing the behaviour of ductile material subject to extreme mechanical loading and its eventual failure. The book highlights constitutive features to describe the behaviour of frictional materials such as geolog...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2012
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This book covers solid mechanics for non-linear elastic and elastoplastic materials, describing the behaviour of ductile material subject to extreme mechanical loading and its eventual failure. The book highlights constitutive features to describe the behaviour of frictional materials such as geological media. On the basis of this theory, including large strain and inelastic behaviours, bifurcation and instability are developed with a special focus on the modelling of the emergence of local instabilities such as shear band formation and flutter of a continuum. The former is regarded as a precursor of fracture, while the latter is typical of granular materials. The treatment is complemented with qualitative experiments, illustrations from everyday life and simple examples taken from structural mechanics |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 14 Jan 2016) |
| Beschreibung: | 1 online resource (xvi, 532 pages) |
| ISBN: | 9781139178938 |
| DOI: | 10.1017/CBO9781139178938 |
Internformat
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| 100 | 1 | |a Bigoni, Davide |d 1959- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Nonlinear solid mechanics |b bifurcation theory and material instability |c Davide Bigoni, University of Trento |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2012 | |
| 300 | |a 1 online resource (xvi, 532 pages) | ||
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| 500 | |a Title from publisher's bibliographic system (viewed on 14 Jan 2016) | ||
| 505 | 8 | |a Machine generated contents note: 1. Introduction; 2. Elements of tensor algebra and analysis; 3. Solid mechanics at finite strains; 4. Isotropic nonlinear hyperelasticity; 5. Solutions of simple problems in finitely deformed nonlinear elastic solids; 6. Constitutive equations and anisotropic elasticity; 7. Yield functions with emphasis on pressure-sensitivity; 8. Elastoplastic constitutive equations; 9. Moving discontinuities and boundary value problems; 10. Global conditions of uniqueness and stability; 11. Local conditions for uniqueness and stability; 12. Bifurcation of elastic solids deformed incrementally; 13. Applications of local and global uniqueness and stability criteria to non-associative elastoplasticity; 14. Wave propagation, stability and bifurcation; 15. Post-critical behaviour and multiple shear band formation; 16. A perturbative approach to material instability | |
| 520 | |a This book covers solid mechanics for non-linear elastic and elastoplastic materials, describing the behaviour of ductile material subject to extreme mechanical loading and its eventual failure. The book highlights constitutive features to describe the behaviour of frictional materials such as geological media. On the basis of this theory, including large strain and inelastic behaviours, bifurcation and instability are developed with a special focus on the modelling of the emergence of local instabilities such as shear band formation and flutter of a continuum. The former is regarded as a precursor of fracture, while the latter is typical of granular materials. The treatment is complemented with qualitative experiments, illustrations from everyday life and simple examples taken from structural mechanics | ||
| 650 | 4 | |a Nonlinear mechanics | |
| 650 | 4 | |a Materials / Mechanical properties | |
| 650 | 4 | |a Elastic analysis (Engineering) | |
| 650 | 4 | |a Bifurcation theory | |
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Datensatz im Suchindex
| _version_ | 1804176888803885056 |
|---|---|
| any_adam_object | |
| author | Bigoni, Davide 1959- |
| author_facet | Bigoni, Davide 1959- |
| author_role | aut |
| author_sort | Bigoni, Davide 1959- |
| author_variant | d b db |
| building | Verbundindex |
| bvnumber | BV043944194 |
| classification_rvk | UF 2000 |
| collection | ZDB-20-CBO |
| contents | Machine generated contents note: 1. Introduction; 2. Elements of tensor algebra and analysis; 3. Solid mechanics at finite strains; 4. Isotropic nonlinear hyperelasticity; 5. Solutions of simple problems in finitely deformed nonlinear elastic solids; 6. Constitutive equations and anisotropic elasticity; 7. Yield functions with emphasis on pressure-sensitivity; 8. Elastoplastic constitutive equations; 9. Moving discontinuities and boundary value problems; 10. Global conditions of uniqueness and stability; 11. Local conditions for uniqueness and stability; 12. Bifurcation of elastic solids deformed incrementally; 13. Applications of local and global uniqueness and stability criteria to non-associative elastoplasticity; 14. Wave propagation, stability and bifurcation; 15. Post-critical behaviour and multiple shear band formation; 16. A perturbative approach to material instability |
| ctrlnum | (ZDB-20-CBO)CR9781139178938 (OCoLC)847025222 (DE-599)BVBBV043944194 |
| dewey-full | 620.1/1292 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1/1292 |
| dewey-search | 620.1/1292 |
| dewey-sort | 3620.1 41292 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik |
| doi_str_mv | 10.1017/CBO9781139178938 |
| format | Electronic eBook |
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| id | DE-604.BV043944194 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:21Z |
| institution | BVB |
| isbn | 9781139178938 |
| language | English |
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| oclc_num | 847025222 |
| open_access_boolean | |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xvi, 532 pages) |
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| publishDate | 2012 |
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| publisher | Cambridge University Press |
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| spelling | Bigoni, Davide 1959- Verfasser aut Nonlinear solid mechanics bifurcation theory and material instability Davide Bigoni, University of Trento Cambridge Cambridge University Press 2012 1 online resource (xvi, 532 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 14 Jan 2016) Machine generated contents note: 1. Introduction; 2. Elements of tensor algebra and analysis; 3. Solid mechanics at finite strains; 4. Isotropic nonlinear hyperelasticity; 5. Solutions of simple problems in finitely deformed nonlinear elastic solids; 6. Constitutive equations and anisotropic elasticity; 7. Yield functions with emphasis on pressure-sensitivity; 8. Elastoplastic constitutive equations; 9. Moving discontinuities and boundary value problems; 10. Global conditions of uniqueness and stability; 11. Local conditions for uniqueness and stability; 12. Bifurcation of elastic solids deformed incrementally; 13. Applications of local and global uniqueness and stability criteria to non-associative elastoplasticity; 14. Wave propagation, stability and bifurcation; 15. Post-critical behaviour and multiple shear band formation; 16. A perturbative approach to material instability This book covers solid mechanics for non-linear elastic and elastoplastic materials, describing the behaviour of ductile material subject to extreme mechanical loading and its eventual failure. The book highlights constitutive features to describe the behaviour of frictional materials such as geological media. On the basis of this theory, including large strain and inelastic behaviours, bifurcation and instability are developed with a special focus on the modelling of the emergence of local instabilities such as shear band formation and flutter of a continuum. The former is regarded as a precursor of fracture, while the latter is typical of granular materials. The treatment is complemented with qualitative experiments, illustrations from everyday life and simple examples taken from structural mechanics Nonlinear mechanics Materials / Mechanical properties Elastic analysis (Engineering) Bifurcation theory Nichtlineare Mechanik (DE-588)4042095-4 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 s Nichtlineare Mechanik (DE-588)4042095-4 s 1\p DE-604 Erscheint auch als Druckausgabe 978-1-107-02541-7 https://doi.org/10.1017/CBO9781139178938 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bigoni, Davide 1959- Nonlinear solid mechanics bifurcation theory and material instability Machine generated contents note: 1. Introduction; 2. Elements of tensor algebra and analysis; 3. Solid mechanics at finite strains; 4. Isotropic nonlinear hyperelasticity; 5. Solutions of simple problems in finitely deformed nonlinear elastic solids; 6. Constitutive equations and anisotropic elasticity; 7. Yield functions with emphasis on pressure-sensitivity; 8. Elastoplastic constitutive equations; 9. Moving discontinuities and boundary value problems; 10. Global conditions of uniqueness and stability; 11. Local conditions for uniqueness and stability; 12. Bifurcation of elastic solids deformed incrementally; 13. Applications of local and global uniqueness and stability criteria to non-associative elastoplasticity; 14. Wave propagation, stability and bifurcation; 15. Post-critical behaviour and multiple shear band formation; 16. A perturbative approach to material instability Nonlinear mechanics Materials / Mechanical properties Elastic analysis (Engineering) Bifurcation theory Nichtlineare Mechanik (DE-588)4042095-4 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd |
| subject_GND | (DE-588)4042095-4 (DE-588)4032296-8 |
| title | Nonlinear solid mechanics bifurcation theory and material instability |
| title_auth | Nonlinear solid mechanics bifurcation theory and material instability |
| title_exact_search | Nonlinear solid mechanics bifurcation theory and material instability |
| title_full | Nonlinear solid mechanics bifurcation theory and material instability Davide Bigoni, University of Trento |
| title_fullStr | Nonlinear solid mechanics bifurcation theory and material instability Davide Bigoni, University of Trento |
| title_full_unstemmed | Nonlinear solid mechanics bifurcation theory and material instability Davide Bigoni, University of Trento |
| title_short | Nonlinear solid mechanics |
| title_sort | nonlinear solid mechanics bifurcation theory and material instability |
| title_sub | bifurcation theory and material instability |
| topic | Nonlinear mechanics Materials / Mechanical properties Elastic analysis (Engineering) Bifurcation theory Nichtlineare Mechanik (DE-588)4042095-4 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd |
| topic_facet | Nonlinear mechanics Materials / Mechanical properties Elastic analysis (Engineering) Bifurcation theory Nichtlineare Mechanik Kontinuumsmechanik |
| url | https://doi.org/10.1017/CBO9781139178938 |
| work_keys_str_mv | AT bigonidavide nonlinearsolidmechanicsbifurcationtheoryandmaterialinstability |