Fundamentals of solid mechanics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Pavia
IUSS
2010
|
| Series: | Lecture Notes ROSE
2010,1 |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 183 S. graph. Darst. |
| ISBN: | 9788861980471 |
Staff View
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Record in the Search Index
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| adam_text | Titel: Fundamentals of solid mechanics
Autor: Wilmański, Krzysztof
Jahr: 2010
Contents
Introduction, historical sketch 5
1 Modicum of vectors and tensors 9
1.1 Algebra 9
1.2 Analysis 17
2 Geometry and kinematics of continua 21
2.1 Preliminaries 21
2.2 Reference configuration and Lagrangian description 22
2.3 Displacement, velocity, Eulerian description 30
2.4 Infinitesimal strains 36
2.5 Compatibility conditions 40
3 Balance of mass and momentum 43
3.1 Conservation of mass 43
3.2 Conservation of momentum 48
3.2.1 Lagrangian description 48
3.2.2 Eulerian description 49
3.2.3 Moment of momentum 51
3.2.4 Stress analysis 52
4 Thermodynamics of solids 61
4.1 Energy conservation law 61
4.2 Second law of thermodynamics 64
5 Elastic materials 69
5.1 Non-linear elasticity 69
5.2 Linear elasticity, isotropic and anisotropic materials 71
5.2.1 Governing equations 71
5.2.2 Navier-Cauchy equations, Green functions, displacement potentials 77
5.2.3 Beltrami-Michell equations 89
5.2.4 Plane strain and plane stress 90
5.2.5 Waves in linear elastic materials 95
5.2.6 Principle of virtual work 104
3
4
CONTENTS
5.3 Thermoelasticity 107
5.4 Poroelasticity 111
6 Viscoelastic materials 115
6.1 Viscoelastic fluids and solids 115
6.2 Rheological models 118
6.3 Three-dimensional viscoelastic model 123
6.4 Differential constitutive relations 128
6.5 Steady state processes and elastic-viscoelastic correspondence principle . . 129
7 Plasticity 135
7.1 Introduction 135
7.2 Plasticity of ductile materials 138
7.3 Plasticity of soils 149
7.4 Viscoplasticity 154
8 Dislocations 157
8.1 Introduction 157
8.2 Continuum with dislocations 159
8.3 On plasticity of metals 164
8.4 Dislocations in geophysics 165
9 Appendix: Green functions for isotropic elastic materials 169
9.1 Purpose 169
9.2 Statics of isotropic elastic materials 170
9.3 Dynamic Green function for isotropic elastic materials 173
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| indexdate | 2024-07-09T22:48:34Z |
| institution | BVB |
| isbn | 9788861980471 |
| language | English |
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| physical | 183 S. graph. Darst. |
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| spelling | Wilmański, Krzysztof 1940-2012 Verfasser (DE-588)118171607 aut Fundamentals of solid mechanics K. Wilmanski Pavia IUSS 2010 183 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture Notes ROSE 2010,1 Lecture Notes ROSE 2010,1 (DE-604)BV036963367 2010,1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020718875&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wilmański, Krzysztof 1940-2012 Fundamentals of solid mechanics Lecture Notes ROSE |
| title | Fundamentals of solid mechanics |
| title_auth | Fundamentals of solid mechanics |
| title_exact_search | Fundamentals of solid mechanics |
| title_full | Fundamentals of solid mechanics K. Wilmanski |
| title_fullStr | Fundamentals of solid mechanics K. Wilmanski |
| title_full_unstemmed | Fundamentals of solid mechanics K. Wilmanski |
| title_short | Fundamentals of solid mechanics |
| title_sort | fundamentals of solid mechanics |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020718875&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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