期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 95, 期 -, 页码 681-696出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2016.04.034
关键词
Brittle materials; Crack growth; Variational formulations; Penalty method
The present work frames the problem of three-dimensional quasi-static crack propagation in brittle materials into the theory of standard dissipative processes. Variational formulations are stated. They characterize the three dimensional crack front quasi-static velocity as minimizer of constrained quadratic functionals. An implicit in time crack tracking algorithm that computationally handles the constraint via the penalty method algorithm is introduced and proof of concept is provided. (C) 2016 Elsevier Ltd. All rights reserved.
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