Mathematical problems in shape optimization and shape memory materials:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Frankfurt am Main ; Berlin ; Bern ; New York ; Paris ; Wien
Peter Lang
[1992]
|
| Series: | Methoden und Verfahren der mathematischen Physik
38 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 120 Seiten Diagramme |
| ISBN: | 3631450850 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV005492076 | ||
| 003 | DE-604 | ||
| 005 | 20200611 | ||
| 007 | t | ||
| 008 | 920706s1992 gw |||| |||| 00||| eng d | ||
| 020 | |a 3631450850 |9 3-631-45085-0 | ||
| 035 | |a (OCoLC)26132216 | ||
| 035 | |a (DE-599)BVBBV005492076 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-384 |a DE-12 |a DE-634 |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QA612.7 | |
| 082 | 0 | |a 620.1/1232 |2 20 | |
| 084 | |a SK 950 |0 (DE-625)143273: |2 rvk | ||
| 084 | |a 73B30 |2 msc | ||
| 084 | |a 73K40 |2 msc | ||
| 084 | |a 73C50 |2 msc | ||
| 084 | |a 73V25 |2 msc | ||
| 084 | |a 49Q10 |2 msc | ||
| 100 | 1 | |a Zochowski, Antoni |d 1951- |0 (DE-588)172474698 |4 aut | |
| 245 | 1 | 0 | |a Mathematical problems in shape optimization and shape memory materials |c Antoni Zochowski |
| 264 | 1 | |a Frankfurt am Main ; Berlin ; Bern ; New York ; Paris ; Wien |b Peter Lang |c [1992] | |
| 264 | 4 | |c © 1992 | |
| 300 | |a 120 Seiten |b Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Methoden und Verfahren der mathematischen Physik |v 38 | |
| 650 | 7 | |a Effet mémoire de forme |2 ram | |
| 650 | 7 | |a Forme, Théorie de la (topologie) |2 ram | |
| 650 | 4 | |a Shape memory effect | |
| 650 | 4 | |a Shape theory (Topology) | |
| 650 | 0 | 7 | |a Strukturoptimierung |0 (DE-588)4183811-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Memory-Legierung |0 (DE-588)4120726-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Formgebung |0 (DE-588)4113598-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mathematisches Modell |0 (DE-588)4114528-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Memory-Effekt |0 (DE-588)4155018-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Memory-Effekt |0 (DE-588)4155018-3 |D s |
| 689 | 0 | 1 | |a Mathematisches Modell |0 (DE-588)4114528-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Formgebung |0 (DE-588)4113598-2 |D s |
| 689 | 1 | 1 | |a Strukturoptimierung |0 (DE-588)4183811-7 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Memory-Legierung |0 (DE-588)4120726-9 |D s |
| 689 | 2 | 1 | |a Mathematisches Modell |0 (DE-588)4114528-8 |D s |
| 689 | 2 | |5 DE-604 | |
| 689 | 3 | 0 | |a Formgebung |0 (DE-588)4113598-2 |D s |
| 689 | 3 | 1 | |a Strukturoptimierung |0 (DE-588)4183811-7 |D s |
| 689 | 3 | 2 | |a Mathematisches Modell |0 (DE-588)4114528-8 |D s |
| 689 | 3 | |5 DE-604 | |
| 830 | 0 | |a Methoden und Verfahren der mathematischen Physik |v 38 |w (DE-604)BV022072087 |9 38 | |
| 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=003439672&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |n oe | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-003439672 | ||
Record in the Search Index
| _version_ | 1804119707090944000 |
|---|---|
| adam_text | Contents
1 Domain sensitivity for singular elliptic problems 5
1.1 Definitions 7
1.2 Regularity results 8
1.3 Motivation 13
1.4 Material derivative approach 14
1.5 Admissible problems 21
1.6 Plane elasticity 24
1.7 Implementation remarks 27
1.8 Appendix 29
2 Variational grid generation and examples of optimal shapes 31
2.1 Grid generation as control problem 32
2.2 Implementation and examples 37
2.3 Numerical shape optimization 41
3 One—dimensional nonlinear thermoelastie system with shape mem¬
ory alloy core 45
3.1 Introduction 45
3.2 Neumann boundary conditions 48
3.3 Dirichlet boundary conditions 56
3.4 Uniqueness 60
3.5 Appendix 63
4 CONTENTS
4 Analysis of the thermoelastic model of a plate with nonlinear shape
memory alloy reinforcements 69
4.1 Equations and constitutive assumptions 70
4.2 Main results 74
4.3 Existence proof 75
4.3.1 Energy inequalities 76
4.3.2 Viscosity term 77
4.3.3 A priori bound 79
4.3.4 Compactness 82
4.4 Uniqueness proof 82
5 Control of the thermoelastic model of a plate activated by shape
memory alloy reinforcements 85
5.1 Continuity of solutions 86
5.2 Differentiability 91
5.3 Control problem 94
6 A proposal for a model of the shape memory polymer 99
6.1 Variational interpretation of homogenization 99
6.2 Derivation of the model 103
6.3 Comparison with the phase field model 106
6.4 Regularization 109
6.5 Existence of solutions for regularized problem 110
Bibliography 115
|
| any_adam_object | 1 |
| author | Zochowski, Antoni 1951- |
| author_GND | (DE-588)172474698 |
| author_facet | Zochowski, Antoni 1951- |
| author_role | aut |
| author_sort | Zochowski, Antoni 1951- |
| author_variant | a z az |
| building | Verbundindex |
| bvnumber | BV005492076 |
| callnumber-first | Q - Science |
| callnumber-label | QA612 |
| callnumber-raw | QA612.7 |
| callnumber-search | QA612.7 |
| callnumber-sort | QA 3612.7 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 950 |
| ctrlnum | (OCoLC)26132216 (DE-599)BVBBV005492076 |
| dewey-full | 620.1/1232 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1/1232 |
| dewey-search | 620.1/1232 |
| dewey-sort | 3620.1 41232 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02645nam a2200685 cb4500</leader><controlfield tag="001">BV005492076</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20200611 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">920706s1992 gw |||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3631450850</subfield><subfield code="9">3-631-45085-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)26132216</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV005492076</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA612.7</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">620.1/1232</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 950</subfield><subfield code="0">(DE-625)143273:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">73B30</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">73K40</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">73C50</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">73V25</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">49Q10</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Zochowski, Antoni</subfield><subfield code="d">1951-</subfield><subfield code="0">(DE-588)172474698</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Mathematical problems in shape optimization and shape memory materials</subfield><subfield code="c">Antoni Zochowski</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Frankfurt am Main ; Berlin ; Bern ; New York ; Paris ; Wien</subfield><subfield code="b">Peter Lang</subfield><subfield code="c">[1992]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 1992</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">120 Seiten</subfield><subfield code="b">Diagramme</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="490" ind1="1" ind2=" "><subfield code="a">Methoden und Verfahren der mathematischen Physik</subfield><subfield code="v">38</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Effet mémoire de forme</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Forme, Théorie de la (topologie)</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Shape memory effect</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Shape theory (Topology)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Strukturoptimierung</subfield><subfield code="0">(DE-588)4183811-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Memory-Legierung</subfield><subfield code="0">(DE-588)4120726-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Formgebung</subfield><subfield code="0">(DE-588)4113598-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Memory-Effekt</subfield><subfield code="0">(DE-588)4155018-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Memory-Effekt</subfield><subfield code="0">(DE-588)4155018-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</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">Formgebung</subfield><subfield code="0">(DE-588)4113598-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Strukturoptimierung</subfield><subfield code="0">(DE-588)4183811-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Memory-Legierung</subfield><subfield code="0">(DE-588)4120726-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Formgebung</subfield><subfield code="0">(DE-588)4113598-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2="1"><subfield code="a">Strukturoptimierung</subfield><subfield code="0">(DE-588)4183811-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2="2"><subfield code="a">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Methoden und Verfahren der mathematischen Physik</subfield><subfield code="v">38</subfield><subfield code="w">(DE-604)BV022072087</subfield><subfield code="9">38</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=003439672&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="n">oe</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-003439672</subfield></datafield></record></collection> |
| id | DE-604.BV005492076 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:30:28Z |
| institution | BVB |
| isbn | 3631450850 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003439672 |
| oclc_num | 26132216 |
| open_access_boolean | |
| owner | DE-384 DE-12 DE-634 DE-83 DE-188 |
| owner_facet | DE-384 DE-12 DE-634 DE-83 DE-188 |
| physical | 120 Seiten Diagramme |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Peter Lang |
| record_format | marc |
| series | Methoden und Verfahren der mathematischen Physik |
| series2 | Methoden und Verfahren der mathematischen Physik |
| spelling | Zochowski, Antoni 1951- (DE-588)172474698 aut Mathematical problems in shape optimization and shape memory materials Antoni Zochowski Frankfurt am Main ; Berlin ; Bern ; New York ; Paris ; Wien Peter Lang [1992] © 1992 120 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Methoden und Verfahren der mathematischen Physik 38 Effet mémoire de forme ram Forme, Théorie de la (topologie) ram Shape memory effect Shape theory (Topology) Strukturoptimierung (DE-588)4183811-7 gnd rswk-swf Memory-Legierung (DE-588)4120726-9 gnd rswk-swf Formgebung (DE-588)4113598-2 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Memory-Effekt (DE-588)4155018-3 gnd rswk-swf Memory-Effekt (DE-588)4155018-3 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Formgebung (DE-588)4113598-2 s Strukturoptimierung (DE-588)4183811-7 s Memory-Legierung (DE-588)4120726-9 s Methoden und Verfahren der mathematischen Physik 38 (DE-604)BV022072087 38 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003439672&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zochowski, Antoni 1951- Mathematical problems in shape optimization and shape memory materials Methoden und Verfahren der mathematischen Physik Effet mémoire de forme ram Forme, Théorie de la (topologie) ram Shape memory effect Shape theory (Topology) Strukturoptimierung (DE-588)4183811-7 gnd Memory-Legierung (DE-588)4120726-9 gnd Formgebung (DE-588)4113598-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd Memory-Effekt (DE-588)4155018-3 gnd |
| subject_GND | (DE-588)4183811-7 (DE-588)4120726-9 (DE-588)4113598-2 (DE-588)4114528-8 (DE-588)4155018-3 |
| title | Mathematical problems in shape optimization and shape memory materials |
| title_auth | Mathematical problems in shape optimization and shape memory materials |
| title_exact_search | Mathematical problems in shape optimization and shape memory materials |
| title_full | Mathematical problems in shape optimization and shape memory materials Antoni Zochowski |
| title_fullStr | Mathematical problems in shape optimization and shape memory materials Antoni Zochowski |
| title_full_unstemmed | Mathematical problems in shape optimization and shape memory materials Antoni Zochowski |
| title_short | Mathematical problems in shape optimization and shape memory materials |
| title_sort | mathematical problems in shape optimization and shape memory materials |
| topic | Effet mémoire de forme ram Forme, Théorie de la (topologie) ram Shape memory effect Shape theory (Topology) Strukturoptimierung (DE-588)4183811-7 gnd Memory-Legierung (DE-588)4120726-9 gnd Formgebung (DE-588)4113598-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd Memory-Effekt (DE-588)4155018-3 gnd |
| topic_facet | Effet mémoire de forme Forme, Théorie de la (topologie) Shape memory effect Shape theory (Topology) Strukturoptimierung Memory-Legierung Formgebung Mathematisches Modell Memory-Effekt |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003439672&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV022072087 |
| work_keys_str_mv | AT zochowskiantoni mathematicalproblemsinshapeoptimizationandshapememorymaterials |