Verfügbarkeit: Phase separation coupled with damage processes

Phase separation coupled with damage processes: analysis of phase field models in elastic media

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Heinemann, Christian (VerfasserIn), Kraus, Christiane (VerfasserIn)
Format:	Abschlussarbeit Buch
Sprache:	English
Veröffentlicht:	Wiesbaden Springer Spektrum 2014
Schlagworte:	Cahn-Hilliard-Gleichung System von partiellen Differentialgleichungen Schadensmechanik Elastischer Werkstoff Entmischung Hochschulschrift
Online-Zugang:	Inhaltstext Inhaltsverzeichnis
Beschreibung:	XII, 172 S. Ill.
ISBN:	9783658052515

Internformat

MARC


LEADER	00000nam a22000008c 4500
001	BV041792984
003	DE-604
005	20140627
007	t
008	140411s2014 gw a\|\|\| m\|\|\| 00\|\|\| eng d
015			\|a 14,N08 \|2 dnb
016	7		\|a 1047504588 \|2 DE-101
020			\|a 9783658052515 \|c Pb. : ca. EUR 74.89 (DE) (freier Pr.), ca. EUR 76.99 (AT) (freier Pr.), ca. sfr 93.50 (freier Pr.) \|9 978-3-658-05251-5
024	3		\|a 9783658052515
028	5	2	\|a Best.-Nr.: 86363637
035			\|a (OCoLC)881858229
035			\|a (DE-599)DNB1047504588
040			\|a DE-604 \|b ger \|e rakddb
041	0		\|a eng
044			\|a gw \|c XA-DE-HE
049			\|a DE-384 \|a DE-11
082	0		\|a 531.38201515353 \|2 22/ger
084			\|a SK 950 \|0 (DE-625)143273: \|2 rvk
084			\|a ZM 3900 \|0 (DE-625)157031: \|2 rvk
084			\|a 510 \|2 sdnb
100	1		\|a Heinemann, Christian \|e Verfasser \|4 aut
245	1	0	\|a Phase separation coupled with damage processes \|b analysis of phase field models in elastic media \|c Christian Heinemann ; Christiane Kraus
264		1	\|a Wiesbaden \|b Springer Spektrum \|c 2014
300			\|a XII, 172 S. \|b Ill.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
502			\|a Zugl.: Berlin, Humboldt-Univ., Diss., 2013
650	0	7	\|a Cahn-Hilliard-Gleichung \|0 (DE-588)4723055-1 \|2 gnd \|9 rswk-swf
650	0	7	\|a System von partiellen Differentialgleichungen \|0 (DE-588)4116672-3 \|2 gnd \|9 rswk-swf
650	0	7	\|a Schadensmechanik \|0 (DE-588)4194956-0 \|2 gnd \|9 rswk-swf
650	0	7	\|a Elastischer Werkstoff \|0 (DE-588)4151686-2 \|2 gnd \|9 rswk-swf
650	0	7	\|a Entmischung \|0 (DE-588)4152371-4 \|2 gnd \|9 rswk-swf
655		7	\|0 (DE-588)4113937-9 \|a Hochschulschrift \|2 gnd-content
689	0	0	\|a Elastischer Werkstoff \|0 (DE-588)4151686-2 \|D s
689	0	1	\|a Schadensmechanik \|0 (DE-588)4194956-0 \|D s
689	0	2	\|a Entmischung \|0 (DE-588)4152371-4 \|D s
689	0	3	\|a System von partiellen Differentialgleichungen \|0 (DE-588)4116672-3 \|D s
689	0	4	\|a Cahn-Hilliard-Gleichung \|0 (DE-588)4723055-1 \|D s
689	0		\|5 DE-604
700	1		\|a Kraus, Christiane \|e Verfasser \|4 aut
856	4	2	\|m X:MVB \|q text/html \|u http://deposit.dnb.de/cgi-bin/dokserv?id=4593970&prov=M&dok_var=1&dok_ext=htm \|3 Inhaltstext
856	4	2	\|m DNB Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027238565&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
943	1		\|a oai:aleph.bib-bvb.de:BVB01-027238565

Datensatz im Suchindex

_version_	1806327653763907584
adam_text	CONTENTS 1 INTRODUCTION 1 2 MATHEMATICAL PRELIMINARIES 9 2.1 NOTATION 10 2.2 VECTOR MEASURES AND VECTOR-VALUED FUNCTIONS OF BOUNDED VARIATIONS . 12 2.3 VARIATIONAL METHODS 15 2.3.1 T-CONVERGENCE 15 2.3.2 EMBEDDING THEOREMS AND INEQUALITIES 16 2.3.3 APPROXIMATIONS OF W LSP (Q) AND L Q {0.T: W 1,P (FT))-FUNCTIONS . . 20 2.3.4 CHARACTERIZATION OF CERTAIN VARIATIONAL INEQUALITIES 26 2.4 SHRINKING SETS AND ADMISSIBLE SUBSETS 28 2.4.1 COVERING AND REPRESENTATION RESULTS 29 2.4.2 LOCAL SOBOLEV SPACES ON SHRINKING SETS 33 3 PDE MODELING AND THERMODYNAMIC CONSISTENCY 35 3.1 PHASE SEPARATION AND COARSENING PROCESSES 36 3.2 PARTIAL DAMAGE PROCESSES 40 3.3 COMPLETE DAMAGE PROCESSES 44 3.4 PHASE SEPARATION COUPLED WITH DAMAGE PROCESSES 47 4 CAHN-HILLIARD SYSTEMS WITH POLYNOMIAL CHEMICAL POTENTIALS COUPLED WITH DAMAGE PROCESSES AND HOMOGENEOUS ELASTICITY 51 4.1 ASSUMPTIONS 52 4.2 WEAK FORMULATIONS AND EXISTENCE RESULTS 54 HTTP://D-NB.INFO/1047504588 CONTENTS 4.2.1 REGULARIZATION 55 4.2.2 LIMIT PROBLEM 60 4.3 PROOFS OF THE EXISTENCE THEOREMS 61 4.3.1 EXISTENCE OF WEAK SOLUTIONS FOR THE REGULARIZED SYSTEM 61 4.3.2 EXISTENCE OF WEAK SOLUTIONS FOR THE LIMIT SYSTEM 83 5 CAHN-HILLIARD SYSTEMS WITH LOGARITHMIC CHEMICAL POTENTIALS COUPLED WITH DAMAGE PROCESSES AND INHOMOGENEOUS ELASTICITY 91 5.1 ASSUMPTIONS 92 5.2 WEAK FORMULATIONS AND EXISTENCE RESULTS 93 5.3 PROOFS OF THE EXISTENCE THEOREMS 98 5.3.1 EXISTENCE OF WEAK SOLUTIONS FOR THE REGULARIZED SYSTEM 98 5.3.2 EXISTENCE OF WEAK SOLUTIONS FOR THE LIMIT SYSTEM - POLYNOMIAL CASE 107 5.3.3 HIGHER INTEGRABILITY OF THE STRAIN TENSOR 110 5.3.4 EXISTENCE OF WEAK SOLUTIONS FOR THE LIMIT SYSTEM - LOGARITHMIC CASE 115 6 COMPLETE DAMAGE PROCESSES 119 6.1 ASSUMPTIONS 120 6.2 WEAK FORMULATIONS AND EXISTENCE RESULTS 120 6.3 PROOFS OF THE EXISTENCE THEOREMS 126 6.3.1 T-LIMIT OF THE REGULARIZED ENERGY 126 6.3.2 DEGENERATE LIMIT OF THE REGULARIZED SYSTEM 131 6.3.3 LOCAL- AND GLOBAL-IN-TIME EXISTENCE RESULTS 138 7 CAHN-HILLIARD SYSTEMS COUPLED WITH COMPLETE DAMAGE PROCESSES AND HOMOGENEOUS ELASTICITY 145 7.1 ASSUMPTIONS 146 7.2 WEAK FORMULATIONS AND EXISTENCE RESULTS 147 7.3 PROOFS OF THE EXISTENCE THEOREMS 150 7.3.1 F-LIMIT OF THE REGULARIZED ENERGY 150 7.3.2 DEGENERATE LIMIT OF THE REGULARIZED SYSTEM 152 7.3.3 LOCAL- AND GLOBAL-IN-TIME EXISTENCE RESULTS 160 8 CONCLUSION 163 REFERENCES 167 LIST OF FIGURES 173
any_adam_object	1
author	Heinemann, Christian Kraus, Christiane
author_facet	Heinemann, Christian Kraus, Christiane
author_role	aut aut
author_sort	Heinemann, Christian
author_variant	c h ch c k ck
building	Verbundindex
bvnumber	BV041792984
classification_rvk	SK 950 ZM 3900
ctrlnum	(OCoLC)881858229 (DE-599)DNB1047504588
dewey-full	531.38201515353
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	531 - Classical mechanics
dewey-raw	531.38201515353
dewey-search	531.38201515353
dewey-sort	3531.38201515353
dewey-tens	530 - Physics
discipline	Physik Mathematik Werkstoffwissenschaften / Fertigungstechnik
format	Thesis Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a22000008c 4500</leader><controlfield tag="001">BV041792984</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20140627</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">140411s2014 gw a\|\|\| m\|\|\| 00\|\|\| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">14,N08</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">1047504588</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783658052515</subfield><subfield code="c">Pb. : ca. EUR 74.89 (DE) (freier Pr.), ca. EUR 76.99 (AT) (freier Pr.), ca. sfr 93.50 (freier Pr.)</subfield><subfield code="9">978-3-658-05251-5</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783658052515</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">Best.-Nr.: 86363637</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)881858229</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB1047504588</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="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">XA-DE-HE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">531.38201515353</subfield><subfield code="2">22/ger</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">ZM 3900</subfield><subfield code="0">(DE-625)157031:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Heinemann, Christian</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Phase separation coupled with damage processes</subfield><subfield code="b">analysis of phase field models in elastic media</subfield><subfield code="c">Christian Heinemann ; Christiane Kraus</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Wiesbaden</subfield><subfield code="b">Springer Spektrum</subfield><subfield code="c">2014</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XII, 172 S.</subfield><subfield code="b">Ill.</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="502" ind1=" " ind2=" "><subfield code="a">Zugl.: Berlin, Humboldt-Univ., Diss., 2013</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Cahn-Hilliard-Gleichung</subfield><subfield code="0">(DE-588)4723055-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">System von partiellen Differentialgleichungen</subfield><subfield code="0">(DE-588)4116672-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Schadensmechanik</subfield><subfield code="0">(DE-588)4194956-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Elastischer Werkstoff</subfield><subfield code="0">(DE-588)4151686-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Entmischung</subfield><subfield code="0">(DE-588)4152371-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Elastischer Werkstoff</subfield><subfield code="0">(DE-588)4151686-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Schadensmechanik</subfield><subfield code="0">(DE-588)4194956-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Entmischung</subfield><subfield code="0">(DE-588)4152371-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">System von partiellen Differentialgleichungen</subfield><subfield code="0">(DE-588)4116672-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="4"><subfield code="a">Cahn-Hilliard-Gleichung</subfield><subfield code="0">(DE-588)4723055-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kraus, Christiane</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">X:MVB</subfield><subfield code="q">text/html</subfield><subfield code="u">http://deposit.dnb.de/cgi-bin/dokserv?id=4593970&prov=M&dok_var=1&dok_ext=htm</subfield><subfield code="3">Inhaltstext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB 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=027238565&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027238565</subfield></datafield></record></collection>
genre	(DE-588)4113937-9 Hochschulschrift gnd-content
genre_facet	Hochschulschrift
id	DE-604.BV041792984
illustrated	Illustrated
indexdate	2024-08-03T01:24:49Z
institution	BVB
isbn	9783658052515
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-027238565
oclc_num	881858229
open_access_boolean
owner	DE-384 DE-11
owner_facet	DE-384 DE-11
physical	XII, 172 S. Ill.
publishDate	2014
publishDateSearch	2014
publishDateSort	2014
publisher	Springer Spektrum
record_format	marc
spelling	Heinemann, Christian Verfasser aut Phase separation coupled with damage processes analysis of phase field models in elastic media Christian Heinemann ; Christiane Kraus Wiesbaden Springer Spektrum 2014 XII, 172 S. Ill. txt rdacontent n rdamedia nc rdacarrier Zugl.: Berlin, Humboldt-Univ., Diss., 2013 Cahn-Hilliard-Gleichung (DE-588)4723055-1 gnd rswk-swf System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd rswk-swf Schadensmechanik (DE-588)4194956-0 gnd rswk-swf Elastischer Werkstoff (DE-588)4151686-2 gnd rswk-swf Entmischung (DE-588)4152371-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Elastischer Werkstoff (DE-588)4151686-2 s Schadensmechanik (DE-588)4194956-0 s Entmischung (DE-588)4152371-4 s System von partiellen Differentialgleichungen (DE-588)4116672-3 s Cahn-Hilliard-Gleichung (DE-588)4723055-1 s DE-604 Kraus, Christiane Verfasser aut X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4593970&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027238565&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Heinemann, Christian Kraus, Christiane Phase separation coupled with damage processes analysis of phase field models in elastic media Cahn-Hilliard-Gleichung (DE-588)4723055-1 gnd System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd Schadensmechanik (DE-588)4194956-0 gnd Elastischer Werkstoff (DE-588)4151686-2 gnd Entmischung (DE-588)4152371-4 gnd
subject_GND	(DE-588)4723055-1 (DE-588)4116672-3 (DE-588)4194956-0 (DE-588)4151686-2 (DE-588)4152371-4 (DE-588)4113937-9
title	Phase separation coupled with damage processes analysis of phase field models in elastic media
title_auth	Phase separation coupled with damage processes analysis of phase field models in elastic media
title_exact_search	Phase separation coupled with damage processes analysis of phase field models in elastic media
title_full	Phase separation coupled with damage processes analysis of phase field models in elastic media Christian Heinemann ; Christiane Kraus
title_fullStr	Phase separation coupled with damage processes analysis of phase field models in elastic media Christian Heinemann ; Christiane Kraus
title_full_unstemmed	Phase separation coupled with damage processes analysis of phase field models in elastic media Christian Heinemann ; Christiane Kraus
title_short	Phase separation coupled with damage processes
title_sort	phase separation coupled with damage processes analysis of phase field models in elastic media
title_sub	analysis of phase field models in elastic media
topic	Cahn-Hilliard-Gleichung (DE-588)4723055-1 gnd System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd Schadensmechanik (DE-588)4194956-0 gnd Elastischer Werkstoff (DE-588)4151686-2 gnd Entmischung (DE-588)4152371-4 gnd
topic_facet	Cahn-Hilliard-Gleichung System von partiellen Differentialgleichungen Schadensmechanik Elastischer Werkstoff Entmischung Hochschulschrift
url	http://deposit.dnb.de/cgi-bin/dokserv?id=4593970&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027238565&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT heinemannchristian phaseseparationcoupledwithdamageprocessesanalysisofphasefieldmodelsinelasticmedia AT krauschristiane phaseseparationcoupledwithdamageprocessesanalysisofphasefieldmodelsinelasticmedia

Verfügbarkeit

Es ist kein Print-Exemplar vorhanden.

Fernleihe Bestellen Achtung: Nicht im THWS-Bestand! Beschreibung

MARC

Datensatz im Suchindex

Es ist kein Print-Exemplar vorhanden.

Ähnliche Einträge