Availability: Existence and regularity for nonlinear elastic self-contact problems

Existence and regularity for nonlinear elastic self-contact problems:

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Bibliographic Details
Main Author:	Mosel, Heiko von der (Author)
Format:	Thesis/Dissertation Book
Language:	English
Published:	Bonn [Math.-Naturwiss. Fak. der Univ.] 2002
Series:	Bonner mathematische Schriften 349
Subjects:	Energiefunktional Euler-Lagrange-Gleichung Elastizität Variationsrechnung Hochschulschrift
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010100991&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	127 S. Ill. : 21 cm

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Record in the Search Index

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adam_text	Titel: Existence and regularity for nonlinear elastic self-contact problems Autor: Mosel, Heiko von der Jahr: 2002 Contents Introduction * 1 Global curvature ^ 1.1 Definition and basic properties.................^ 1.2 Regularity.............................15 1.3 Limit cases........................................................^ 1.4 Excluded volume constraint...................22 1.5 Functional properties.......................24 1.6 Proofs for Chapter 1.......................26 2 Framed curves and elastic rods 56 2.1 framed curves ....................................................56 2.2 Rod theory............................60 2.3 Local and global injectivity......................................65 2.4 Topological constraints......................68 3 Existence results 76 3.1 Abstract existence theorem......................................76 3.2 Energy minimizing elastic rods..................................78 3.2.1 Rods with shear and extension..........................78 3-2.2 Unshearable, inextensible case ..........................80 3.2.3 Extensible rods without shear............................83 3.2.4 Existence of ideal knots..................................84 4 Euler-Lagrange equations 87 4.1 The variational problem in the unshearable inextensible case 87 4.2 Euler-Lagrange equations........................................88 4.2.1 Modified variational problem............................90 4.2.2 Reduction of the modified problem......................94 4.2.3 Differentiability of the centreline and the directors . . 96 2 CONTENTS 3 4.2.4 Differentiability of the energy............................97 4.2.5 Differentiability of the boundary constraints ..........99 4.2.6 Differentiability of the self-contact constraint.....101 4.2.7 Proof of the Euler-Lagrange equations.........105 5 Regularity 108 5.1 Structure of the contact forces .................108 5.2 Transversality...........................Ill 5.3 Higher regularity.........................113 6 Appendix 117 6.1 Differential of the frame.....................117 6.2 Clarke s generalized gradients..................120 Bibliography 123
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language	English
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physical	127 S. Ill. : 21 cm
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publisher	[Math.-Naturwiss. Fak. der Univ.]
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series	Bonner mathematische Schriften
series2	Bonner mathematische Schriften
spellingShingle	Mosel, Heiko von der Existence and regularity for nonlinear elastic self-contact problems Bonner mathematische Schriften Energiefunktional (DE-588)4324274-1 gnd Euler-Lagrange-Gleichung (DE-588)4700698-5 gnd Elastizität (DE-588)4014159-7 gnd Variationsrechnung (DE-588)4062355-5 gnd
subject_GND	(DE-588)4324274-1 (DE-588)4700698-5 (DE-588)4014159-7 (DE-588)4062355-5 (DE-588)4113937-9
title	Existence and regularity for nonlinear elastic self-contact problems
title_auth	Existence and regularity for nonlinear elastic self-contact problems
title_exact_search	Existence and regularity for nonlinear elastic self-contact problems
title_full	Existence and regularity for nonlinear elastic self-contact problems Heiko von der Mosel
title_fullStr	Existence and regularity for nonlinear elastic self-contact problems Heiko von der Mosel
title_full_unstemmed	Existence and regularity for nonlinear elastic self-contact problems Heiko von der Mosel
title_short	Existence and regularity for nonlinear elastic self-contact problems
title_sort	existence and regularity for nonlinear elastic self contact problems
topic	Energiefunktional (DE-588)4324274-1 gnd Euler-Lagrange-Gleichung (DE-588)4700698-5 gnd Elastizität (DE-588)4014159-7 gnd Variationsrechnung (DE-588)4062355-5 gnd
topic_facet	Energiefunktional Euler-Lagrange-Gleichung Elastizität Variationsrechnung Hochschulschrift
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010100991&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000001610
work_keys_str_mv	AT moselheikovonder existenceandregularityfornonlinearelasticselfcontactproblems

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