期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 60, 期 5, 页码 827-843出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2012.01.015
关键词
Adhesion; Stability; Material forces; Rod theory; Elastica
资金
- National Science Foundation of the United States [CMMI 0726675]
Using variational methods, we establish conditions for the nonlinear stability of adhesive states between an elastica and a rigid halfspace. The treatment produces coupled criteria for adhesion and buckling instabilities by exploiting classical techniques from Legendre and Jacobi. Three examples that arise in a broad range of engineered systems, from microelectronics to biologically inspired fiber array adhesion, are used to illuminate the stability criteria. The first example illustrates buckling instabilities in adhered rods, while the second shows the instability of a peeling process and the third illustrates the stability of a shear-induced adhesion. The latter examples can also be used to explain how microfiber array adhesives can be activated by shearing and deactivated by peeling. The nonlinear stability criteria developed in this paper are also compared to other treatments. (C) 2012 Elsevier Ltd. All rights reserved.
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