An Unexpected Feature of a Class of Damage Evolution Models

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Abstract:

The main objective of the present paper is to demonstrate, by means of a boundary value problem permitting a closed-form solution, that no solution exists under certain conditions in the case of a rigid/plastic material model including a damage evolution equation. The source of this feature of the solution is the sticking friction condition, which is often adopted in the metal forming literature.

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195-198

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September 2016

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[1] W.H. Tai: Eng. Fract. Mech. Vol. 37 (1990), p.853.

Google Scholar

[2] S. Chandrakanth and P.C. Pandey: Int. J. Fract. Vol. 60 (1993), p. R73.

Google Scholar

[3] N. Bonora: Eng. Fract. Mech. Vol. 58 (1997), p.11.

Google Scholar

[4] F.M.A. Pires, J.M.A.C. Sa, L.C. Sousa and R.M.N. Jorge: Int. J. Mech. Sci. Vol. 45 (2003), p.273.

Google Scholar

[5] J. -P. Wang: Int. J. Mach. Tools Manuf. Vol. 41 (2001), p.311.

Google Scholar

[6] S. Chandrasekharan, H. Palaiswamy, N. Jain, G. Ngaile and T. Altan: Int. J. Mach. Tools Manuf. Vol. 45 (2005), p.379.

Google Scholar

[7] S. Alexandrov and D. Harris: Int. J. Mech. Sci. Vol. 48 (2006), p.750.

Google Scholar

[8] S. Alexandrov and R. Goldstein: J. Appl. Math. Mech. Vol. 64 (2000), p.155.

Google Scholar

[9] S. Murakami: Continuum Damage Mechanics (Springer, Dordrecht 2012).

Google Scholar