The Variational Approach to Fracture

Authors: Bourdin, Blaise, Francfort, Gilles A., Marigo, Jean-Jacques

  • Offers a new and unified view of fracture evolution in a brittle solid
  • Treats crack evolution from its initiation all the way to the failure of the sample
  • Models crack initiation, crack path, and crack extension for arbitrary geometries and loads
  • Presents original results from both theoretical and numerical viewpoints
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eBook 71,39 €
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  • ISBN 978-1-4020-6395-4
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Hardcover 88,39 €
price for Spain (gross)
  • ISBN 978-1-4020-6394-7
  • with online files
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Softcover 83,19 €
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  • ISBN 978-90-481-7624-3
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  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

One of the goals of the Journal of Elasticity: The Physical and Ma- ematical Science of Solids is to identify and to bring to the attention of the research community in the physical and mathematical sciences extensive expositions which contain creative ideas, new approaches and currentdevelopmentsinmodellingthebehaviourofmaterials. Fracture has enjoyed a long and fruitful evolution in engineering, but only in - cent years has this area been considered seriously by the mathematical science community. In particular, while the age-old Gri?th criterion is inherently energy based, treating fracture strictly from the point of view of variational calculus using ideas of minimization and accounting for the singular nature of the fracture ?elds and the various ways that fracture can initiate, is relatively new and fresh. The variational theory of fracture is now in its formative stages of development and is far from complete, but several fundamental and important advances have been made. The energy-based approach described herein establishes a consistent groundwork setting in both theory and computation. While itisphysicallybased,thedevelopmentismathematicalinnatureandit carefully exposes the special considerations that logically arise rega- ing the very de?nition of a crack and the assignment of energy to its existence. The fundamental idea of brittle fracture due to Gri?th plays a major role in this development, as does the additional dissipative feature of cohesiveness at crack surfaces, as introduced by Barenblatt. Thefollowinginvited,expositoryarticlebyB. Bourdin,G. Francfort and J. -J. Marigo represents a masterful and extensive glimpse into the fundamentalvariationalstructureoffracture.

Table of contents (9 chapters)

Buy this book

eBook 71,39 €
price for Spain (gross)
  • ISBN 978-1-4020-6395-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 88,39 €
price for Spain (gross)
  • ISBN 978-1-4020-6394-7
  • with online files
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 83,19 €
price for Spain (gross)
  • ISBN 978-90-481-7624-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
The Variational Approach to Fracture
Authors
Copyright
2008
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-1-4020-6395-4
DOI
10.1007/978-1-4020-6395-4
Hardcover ISBN
978-1-4020-6394-7
Softcover ISBN
978-90-481-7624-3
Edition Number
1
Number of Pages
X, 164
Additional Information
Reprinted from JOURNAL OF ELASTICITY 91:1-3
Topics