Summary
The path-independent integral of Rice and Sanders is generalized to the case of perfectly elastic materials so that the rupture of rubber can be included. As a simple application to the tearing of rubber, the integral is used to relate the tearing energy and the strain concentration which confirms the strain concentration theory of Thomas.
Zusammenfassung
Das wegunabhängige Integral von Rice und Sanders wird auf den Fall des vollkommen elastischen Materials verallgemeinert, so daß der Bruch von Gummi behandelt werden kann. Als einfache Anwendung des Integrals auf das Bruchverhalten von Gummi wird eine Relation zwischen der Bruchenergie und der Deformation abgeleitet, welche die Thomassche Theorie der Deformationskonzentration bestätigt.
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References
J.R. Rice, J. appl. Mech.35, 379 (1968).
J.R. Rice andG.F. Rosengren, J. Mech. Phys. Solids16, 1 (1968).
J.R. Rice,Treatise on Fracture, Vol. 2, p. 212, ed. H. Liebowitz.
K.S. Rivlin andA.G. Thomas, J. Polymer Sci.10, 291 (1953).
J.L. Sanders, J. appl. Mech.27, 352 (1960).
A.G. Thomas, J. Polymer Sci.18, 177 (1955).
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Operated by Union Carbide Corporation for the U.S. Atomic Energy Commission.
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Chang, SJ. Path-Independent integral for rupture of perfectly elastic materials. Journal of Applied Mathematics and Physics (ZAMP) 23, 149–152 (1972). https://doi.org/10.1007/BF01593213
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DOI: https://doi.org/10.1007/BF01593213