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A Variational Approach to Fracture and Other Inelastic Phenomena (Paperback, Softcover reprint of the original 1st ed. 2014)
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A Variational Approach to Fracture and Other Inelastic Phenomena (Paperback, Softcover reprint of the original 1st ed. 2014)
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This book exposes a number of mathematical models for fracture of
growing difficulty. All models are treated in a unified way, based
on incremental energy minimization. They differ from each other by
the assumptions made on the inelastic part of the total energy,
here called the "cohesive energy". Each model describes a specific
aspect of material response, and particular care is devoted to
underline the correspondence of each model to the experiments. The
content of the book is a re-elaboration of the lectures delivered
at the First Sperlonga Summer School on Mechanics and Engineering
Sciences in September 2011. In the year and a half elapsed after
the course, the material has been revised and enriched with new and
partially unpublished results. Significant additions have been
introduced in the occasion of the course "The variational approach
to fracture and other inelastic phenomena", delivered at SISSA,
Trieste, in March 2013. The Notes reflect a research line carried
on by the writer over the years, addressed to a comprehensive
description of the many aspects of the phenomenon of fracture, and
to its relations with other phenomena, such as the formation of
microstructure and the changes in the material's strength induced
by plasticity and damage. Reprinted from the Journal of Elasticity,
volume 112, issue 1, 2013.
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