MENÜ MENÜ  

cover

Effective Theories for Brittle Materials. A Derivation of Cleavage Laws and Linearized Griffith Energies from Atomistic and Continuum Nonlinear Models

Augsburger Schriften zur Mathematik, Physik und Informatik , Bd. 28

Manuel Friedrich

ISBN 978-3-8325-4028-9
291 pages, year of publication: 2015
price: 39.50 €
Effective Theories for Brittle Materials. A Derivation of Cleavage Laws and Linearized Griffith Energies from Atomistic and Continuum Nonlinear Models
A thorough understanding of crack formation in brittle materials is of great interest in both experimental sciences and theoretical studies. Such materials show an elastic response to very small displacements and develop cracks already at moderately large strains. Typically there is no plastic regime in between the restorable elastic deformations and complete failure due to fracture.

The main focus of this book lies on the derivation of effective models for brittle materials in the simultaneous passage from discrete-to-continuum and nonlinear to linearized systems. In the first part the cleavage behavior of brittle crystals is investigated including the identification of critical loads for failure and the analysis of the geometry of crack paths that occur in the fractured regime. In the second part Griffith functionals in the realm of linearized elasticity are derived from nonlinear and frame indifferent energies by means of a quantitative geometric rigidity result for special functions of bounded deformation.

cover cover cover cover cover cover cover cover cover
Table of contents (PDF)

Keywords:

  • Brittle materials
  • Discrete-to-continuum limits
  • Free discontinuity problems
  • Gamma-convergence
  • Geometric and piecewise rigidity

BUYING OPTIONS

39.50 €
only 3 in stock

36.50 €
49.50 €
53.50 €

(D) = Within Germany
(W) = Abroad

You can purchase the eBook (PDF) alone or combined with the printed book (Bundle). In both cases we use the payment service of PayPal for charging you - nevertheless it is not necessary to have a PayPal-account. With purchasing the eBook or eBundle you accept our licence for eBooks.

For multi-user or campus licences (MyLibrary) please fill in the form or write an email to order@logos-verlag.de