Elasticity and plasticity of large deformations: an introduction
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2008
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 317 - 333 |
| Beschreibung: | XVIII, 339 S. graph. Darst. 24 cm |
| ISBN: | 9783540693994 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV035313163 | ||
| 003 | DE-604 | ||
| 005 | 20110524 | ||
| 007 | t | ||
| 008 | 090216s2008 d||| |||| 00||| eng d | ||
| 015 | |a 08,N28,0636 |2 dnb | ||
| 015 | |a 09,A04,1063 |2 dnb | ||
| 020 | |a 9783540693994 |c kart. : EUR 64.15 (freier Pr.), sfr 99.50 (freier Pr.) |9 978-3-540-69399-4 | ||
| 024 | 3 | |a 978-3-540-69399-4 | |
| 028 | 5 | 2 | |a 12322176 |
| 035 | |a (OCoLC)233935049 | ||
| 035 | |a (DE-599)BVBBV035313163 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-706 |a DE-29T | ||
| 050 | 0 | |a QA931 | |
| 082 | 0 | |a 531.38 |2 22/ger | |
| 082 | 0 | |a 620.1123 |2 22 | |
| 084 | |a UF 2000 |0 (DE-625)145568: |2 rvk | ||
| 100 | 1 | |a Bertram, Albrecht |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Elasticity and plasticity of large deformations |b an introduction |c Albrecht Bertram |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2008 | |
| 300 | |a XVIII, 339 S. |b graph. Darst. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturverz. S. 317 - 333 | ||
| 650 | 4 | |a Deformations (Mechanics) | |
| 650 | 4 | |a Elasticity | |
| 650 | 4 | |a Plasticity | |
| 650 | 0 | 7 | |a Deformationstheorie |0 (DE-588)4461771-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Elastizität |0 (DE-588)4014159-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Plastizität |0 (DE-588)4046283-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kontinuumsmechanik |0 (DE-588)4032296-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineare Mechanik |0 (DE-588)4042095-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kontinuumsmechanik |0 (DE-588)4032296-8 |D s |
| 689 | 0 | 1 | |a Nichtlineare Mechanik |0 (DE-588)4042095-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Plastizität |0 (DE-588)4046283-3 |D s |
| 689 | 1 | 1 | |a Elastizität |0 (DE-588)4014159-7 |D s |
| 689 | 1 | 2 | |a Deformationstheorie |0 (DE-588)4461771-9 |D s |
| 689 | 1 | |8 1\p |5 DE-604 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017117882&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-017117882 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804138618392936448 |
|---|---|
| adam_text | Contents
List of Frequently Used Symbols.........................................................................XI
List of Selected Scientists.................................................................................XVII
Introduction.............................................................................................................1
1 Mathematical Preparation................................................................................3
1.1 Repetitions from Vector Algebra.............................................................5
1.2 Tensor Algebra......................................................................................10
1.2.1 Tensor Product and Tensor Components.......................................17
1.2.2 The Eigenvalue Problem................................................................21
1.2.3 Special Tensors..............................................................................29
1.2.4 Tensors of Higher Order................................................................35
1.2.5 Isotropie Tensor Functions............................................................46
1.3 Tensor Analysis.....................................................................................53
1.4 The EUCLIDean Point Space................................................................71
1.4.1 The Covariant Derivative..............................................................76
1.4.2 Integral Theorems..........................................................................87
2 Kinematics.....................................................................................................91
2.1 Placements of Bodies.............................................................................91
2.2 Time Derivatives...................................................................................94
2.3 Spatial Derivatives.................................................................................95
3 Balance Laws..............................................................................................121
3.1 Mass.....................................................................................................121
3.2 The General Balance Equation............................................................122
3.3 Observer-Dependent Laws of Motion.................................................130
3.4 Stress Analysis.....................................................................................136
3.5 The Thermodynamical Balances.........................................................149
4 The Principles of Material Theory...............................................................153
4.1 Determinism........................................................................................153
4.2 Local Action........................................................................................154
4.3 EUCLIDean Invariances......................................................................155
4.4 Extension of the Principles to Thermodynamics.................................159
5 Internal Constraints.....................................................................................167
5.1 Mechanical Internal Constraints..........................................................167
5.2 Thermo-Mechanical Internal Constraints............................................172
6 Elasticity......................................................................................................177
6.1 Reduced Elastic Forms........................................................................178
6.2 Thermo-Elasticity................................................................................179
6.3 Change of the Reference Placement....................................................180
CONTENTS
6.4 Elastic Isomorphy................................................................................182
6.5 Elastic Symmetry.................................................................................185
6.6 Isotropie Elasticity...............................................................................195
6.7 Incremental Elastic Laws.....................................................................200
6.8 Symmetries in Thermo-Elasticity........................................................205
7 Hyperelasticity.............................................................................................209
7.1 Thermodynamical Restrictions............................................................209
7.2 Hyperelastic Materials.........................................................................211
7.3 Hyperelastic Isomorphy and Symmetry..............................................216
7.4 Isotropie Hyperelasticity......................................................................218
8 Solutions......................................................................................................229
8.1 Boundary Value Problems...................................................................229
8.2 Universal Solutions.............................................................................236
9 Inelasticity...................................................................................................249
10 Plasticity......................................................................................................253
10.1 Elastic Ranges.....................................................................................254
10.2 Thermoplasticity..................................................................................284
10.3 Viscoplasticity.....................................................................................291
10.4 Plasticity Theories with Intermediate Placements...............................293
10.5 Crystal Plasticity..................................................................................303
References...........................................................................................................317
Index....................................................................................................................335
|
| any_adam_object | 1 |
| author | Bertram, Albrecht |
| author_facet | Bertram, Albrecht |
| author_role | aut |
| author_sort | Bertram, Albrecht |
| author_variant | a b ab |
| building | Verbundindex |
| bvnumber | BV035313163 |
| callnumber-first | Q - Science |
| callnumber-label | QA931 |
| callnumber-raw | QA931 |
| callnumber-search | QA931 |
| callnumber-sort | QA 3931 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | UF 2000 |
| ctrlnum | (OCoLC)233935049 (DE-599)BVBBV035313163 |
| dewey-full | 531.38 620.1123 |
| dewey-hundreds | 500 - Natural sciences and mathematics 600 - Technology (Applied sciences) |
| dewey-ones | 531 - Classical mechanics 620 - Engineering and allied operations |
| dewey-raw | 531.38 620.1123 |
| dewey-search | 531.38 620.1123 |
| dewey-sort | 3531.38 |
| dewey-tens | 530 - Physics 620 - Engineering and allied operations |
| discipline | Physik |
| edition | 2. ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02231nam a2200577 c 4500</leader><controlfield tag="001">BV035313163</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20110524 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">090216s2008 d||| |||| 00||| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">08,N28,0636</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">09,A04,1063</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540693994</subfield><subfield code="c">kart. : EUR 64.15 (freier Pr.), sfr 99.50 (freier Pr.)</subfield><subfield code="9">978-3-540-69399-4</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">978-3-540-69399-4</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">12322176</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)233935049</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV035313163</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-706</subfield><subfield code="a">DE-29T</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA931</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">531.38</subfield><subfield code="2">22/ger</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">620.1123</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UF 2000</subfield><subfield code="0">(DE-625)145568:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bertram, Albrecht</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Elasticity and plasticity of large deformations</subfield><subfield code="b">an introduction</subfield><subfield code="c">Albrecht Bertram</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2008</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVIII, 339 S.</subfield><subfield code="b">graph. Darst.</subfield><subfield code="c">24 cm</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S. 317 - 333</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Deformations (Mechanics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Elasticity</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Plasticity</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Deformationstheorie</subfield><subfield code="0">(DE-588)4461771-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Elastizität</subfield><subfield code="0">(DE-588)4014159-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Plastizität</subfield><subfield code="0">(DE-588)4046283-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kontinuumsmechanik</subfield><subfield code="0">(DE-588)4032296-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtlineare Mechanik</subfield><subfield code="0">(DE-588)4042095-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kontinuumsmechanik</subfield><subfield code="0">(DE-588)4032296-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Nichtlineare Mechanik</subfield><subfield code="0">(DE-588)4042095-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Plastizität</subfield><subfield code="0">(DE-588)4046283-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Elastizität</subfield><subfield code="0">(DE-588)4014159-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Deformationstheorie</subfield><subfield code="0">(DE-588)4461771-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017117882&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-017117882</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV035313163 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:31:03Z |
| institution | BVB |
| isbn | 9783540693994 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017117882 |
| oclc_num | 233935049 |
| open_access_boolean | |
| owner | DE-706 DE-29T |
| owner_facet | DE-706 DE-29T |
| physical | XVIII, 339 S. graph. Darst. 24 cm |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Springer |
| record_format | marc |
| spelling | Bertram, Albrecht Verfasser aut Elasticity and plasticity of large deformations an introduction Albrecht Bertram 2. ed. Berlin [u.a.] Springer 2008 XVIII, 339 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 317 - 333 Deformations (Mechanics) Elasticity Plasticity Deformationstheorie (DE-588)4461771-9 gnd rswk-swf Elastizität (DE-588)4014159-7 gnd rswk-swf Plastizität (DE-588)4046283-3 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Nichtlineare Mechanik (DE-588)4042095-4 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 s Nichtlineare Mechanik (DE-588)4042095-4 s DE-604 Plastizität (DE-588)4046283-3 s Elastizität (DE-588)4014159-7 s Deformationstheorie (DE-588)4461771-9 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017117882&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bertram, Albrecht Elasticity and plasticity of large deformations an introduction Deformations (Mechanics) Elasticity Plasticity Deformationstheorie (DE-588)4461771-9 gnd Elastizität (DE-588)4014159-7 gnd Plastizität (DE-588)4046283-3 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Nichtlineare Mechanik (DE-588)4042095-4 gnd |
| subject_GND | (DE-588)4461771-9 (DE-588)4014159-7 (DE-588)4046283-3 (DE-588)4032296-8 (DE-588)4042095-4 |
| title | Elasticity and plasticity of large deformations an introduction |
| title_auth | Elasticity and plasticity of large deformations an introduction |
| title_exact_search | Elasticity and plasticity of large deformations an introduction |
| title_full | Elasticity and plasticity of large deformations an introduction Albrecht Bertram |
| title_fullStr | Elasticity and plasticity of large deformations an introduction Albrecht Bertram |
| title_full_unstemmed | Elasticity and plasticity of large deformations an introduction Albrecht Bertram |
| title_short | Elasticity and plasticity of large deformations |
| title_sort | elasticity and plasticity of large deformations an introduction |
| title_sub | an introduction |
| topic | Deformations (Mechanics) Elasticity Plasticity Deformationstheorie (DE-588)4461771-9 gnd Elastizität (DE-588)4014159-7 gnd Plastizität (DE-588)4046283-3 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Nichtlineare Mechanik (DE-588)4042095-4 gnd |
| topic_facet | Deformations (Mechanics) Elasticity Plasticity Deformationstheorie Elastizität Plastizität Kontinuumsmechanik Nichtlineare Mechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017117882&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bertramalbrecht elasticityandplasticityoflargedeformationsanintroduction |