期刊
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
卷 223, 期 3, 页码 1337-1374出版社
SPRINGER
DOI: 10.1007/s00205-016-1059-y
关键词
-
资金
- Deutsche Forschungsgemeinschaft [Sonderforschungsbereich 1060]
We prove an integral representation result for functionals with growth conditions which give coercivity on the space , for , which is a bounded open Lipschitz set, and . The space SBD (p) of functions whose distributional strain is the sum of an L (p) part and a bounded measure supported on a set of finite -dimensional measure appears naturally in the study of fracture and damage models. Our result is based on the construction of a local approximation by W (1,p) functions. We also obtain a generalization of Korn's inequality in the SBD (p) setting.
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