Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 73, Issue -, Pages 183-211Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2014.08.006
Keywords
Variational principle; Bounding theorem; Bi-modulus material; Internal variable; Conexity
Funding
- National Natural Science Foundation of China [10925209, 91216201, 11372004]
- 973 Project of China [2010CB832703]
- Program for Changjiang Scholars, Innovative Research Team in University (PCSIRT)
- 111 Project [B14013]
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Variational principles for materials with smooth constitutive laws have been well established in literature. For materials with non-smooth constitutive relations, however, the corresponding development has not reached a mature stage. In the present paper, a series of variational principles and the related bounding theorems for bi-modulus materials, which have different elastic properties in tension and compression, are established. Illustrative examples provided demonstrate the application of the presented theoretical results. (C) 2014 Elsevier Ltd. All rights reserved.
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