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2010, ISBN: 9048176247

[EAN: 9789048176243], Neubuch, [SC: 11.99], [PU: Springer Netherlands], ALGORITHM; BRITTLECRACKGROWTH; MODEL; NUMERICALSIMULATIONS; NUMERICS; SIMULATION, Druck auf Anfrage Neuware - Prese… Meer...

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Blaise Bourdin|Gilles A. Francfort|Jean-Jacques Marigo:
The Variational Approach to Fracture - pocketboek

2010

ISBN: 9048176247

[EAN: 9789048176243], Neubuch, [PU: Springer Netherlands], ALGORITHM BRITTLECRACKGROWTH MODEL NUMERICS SIMULATION NUMERICALSIMULATIONS TECHNIK MASCHINENBAU FERTIGUNGSTECHNIK BRITTLE FRACT… Meer...

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Bourdin, Blaise:
The Variational Approach to Fracture - pocketboek

2010, ISBN: 9789048176243

Mitwirkende: Francfort, Gilles A. Mitwirkende: Marigo, Jean-Jacques, Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 2008, 176 Seiten, Publiziert: 2010-10-19T00:00:… Meer...

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Bourdin, Blaise; Marigo, Jean-Jacques; Francfort, Gilles A.:
The Variational Approach to Fracture - pocketboek

2010, ISBN: 9048176247

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Softcover reprint of hardcover 1st ed. 2008 Kartoniert / Broschiert Mathematik für Ingenieure, Maschinenbau, Maschinenbau: Festkörpermechanik, algorithm; brittlecrackgrowth; Model; Nume… Meer...

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The Variational Approach to Fracture

Presenting original results from both theoretical and numerical viewpoints, this text offers a detailed discussion of the variational approach to brittle fracture. This approach views crack growth as the result of a competition between bulk and surface energy, treating crack evolution from its initiation all the way to the failure of a sample. The authors model crack initiation, crack path, and crack extension for arbitrary geometries and loads.

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EAN (ISBN-13): 9789048176243
ISBN (ISBN-10): 9048176247
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer
176 Bladzijden
Gewicht: 0,307 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2011-04-09T10:55:32+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2022-02-12T18:54:11+01:00 (Amsterdam)
ISBN/EAN: 9789048176243

ISBN - alternatieve schrijfwijzen:
90-481-7624-7, 978-90-481-7624-3


Gegevens van de uitgever

Auteur: Blaise Bourdin; Gilles A. Francfort; Jean-Jacques Marigo
Titel: The Variational Approach to Fracture
Uitgeverij: Springer; Springer Netherland
164 Bladzijden
Verschijningsjaar: 2010-10-19
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,309 kg
Taal: Engels
85,59 € (DE)
87,99 € (AT)
106,60 CHF (CH)
POD
X, 164 p.

BC; Previously published in hardcover; Hardcover, Softcover / Technik/Maschinenbau, Fertigungstechnik; Maschinenbau; Verstehen; algorithm; brittle fracture; crack growth; fracture; model; numerical simulations; numerics; simulation; B; Mechanical Engineering; Mathematical Modeling and Industrial Mathematics; Solid Mechanics; Mechanical Engineering; Mathematical Modeling and Industrial Mathematics; Solid Mechanics; Engineering; Mathematische Modellierung; Mathematik für Ingenieure; Maschinenbau: Festkörpermechanik; BB

1 Introduction; 2 Going variational; 2.1 Griffith’s theory; 2.2 The 1-homogeneous case – A variational equivalence; 2.3 Smoothness – The soft belly of Griffith’s formulation; 2.4 The non 1-homogeneous case – A discrete variational evolution; 2.5 Functional framework – A weak variational evolution; 2.6 Cohesiveness and the variational evolution; 3 Stationarity versus local or global minimality – A comparison; 3.1 1d traction; 3.1.1 The Griffith case – Soft device; 3.1.2 The Griffith case – Hard device; 3.1.3 Cohesive case – Soft device; 3.1.4 Cohesive case – Hard device; 3.2 A tearing experiment; 4 Initiation; 4.1 Initiation – The Griffith case; 4.1.1 Initiation – The Griffith case – Global minimality; 4.1.2 Initiation – The Griffith case – Local minimality; 4.2 Initiation – The cohesive case; 4.2.1 Initiation – The cohesive 1d case – Stationarity; 4.2.2 Initiation – The cohesive 3d case – Stationarity; 4.2.3 Initiation – The cohesive case – Global minimality; 5 Irreversibility; 5.1 Irreversibility – The Griffith case – Well-posedness of the variational evolution; 5.1.1 Irreversibility – The Griffith case – Discrete evolution; 5.1.2 Irreversibility – The Griffith case – Global minimality in the limit; 5.1.3 Irreversibility – The Griffith case – Energy balance in the limit; 5.1.4 Irreversibility – The Griffith case – The time-continuous evolution; 5.2 Irreversibility – The cohesive case; 6 Path; 7 Griffith vs. Barenblatt; 8 Numerics and Griffith; 8.1 Numerical approximation of the energy; 8.1.1 The first time step; 8.1.2 Quasi-static evolution; 8.2 Minimization algorithm; 8.2.1 The alternate minimization algorithm; 8.2.2 The backtracking algorithm; 8.3 Numerical experiments; 8.3.1 The 1D traction (hard device); 8.3.2 The Tearing experiment; 8.3.3 Revisiting the 2D traction experiment on a fiber reinforced matrix; 9 Fatigue; 9.1 Peeling Evolution; 9.2 The limitfatigue law when d tends to 0; 9.3 A variational formulation for fatigue; 9.3.1 Peeling revisited; 9.3.2 Generalization; Appendix; Glossary; References.

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9781402063954 The Variational Approach to Fracture (Blaise Bourdin; Gilles A. Francfort; Jean-Jacques Marigo)


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