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A study on the evolution of the contact angle of small punch creep test of ductile materials.pdf

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A study on the evolution of the contact angle of small punch creep test of ductile materials.pdf

International Journal of Pressure Vessels and Piping 145 (2016) 60e74 Contents lists available at ScienceDirect International Journal of Pressure Vessels and Piping journal homepage: /locate/ijpvp A study on the evolution of the contact angle of small punch creep test of ductile materials B. Cacciapuoti*, W. Sun, D.G. McCartney Department of Mechanical, Materials and Manufacturing Engineering, University of Nottingham, Nottingham, NG7 2RD, UK article info Article history: Received 3 May 2016 Received in revised form 1 June 2016 Accepted 8 June 2016 Available online 11 June 2016 Keywords: Small punch creep test Contact angle Chakrabarty membrane theory Finite element analysis abstract The work discussed in the present paper reports a novel investigation of the applicability of Chakrabarty’s theory, for membrane stretching of a circular blank over a rigid punch, to small punch creep test (SPCT). The Chakrabarty solution was compared with corresponding results obtained by numerical ?nite element (FE) analyses and experimental tests. The Liu and Murakami creep damage model was used in the FE analyses. The aim of the work is also to improve the understanding of the mechanism governing the deformation and the failure of the specimen and to verify the range of applicability of the CEN Code of Practice CWA 15627, which is based on Chakrabarty’s theory. The effects of various parameters, such as the initial thickness of the specimen, the radius of the punch, the load magnitude, the friction coef?cient and different plasticity constitutive models, on the variation of the contact angle, q0, and the central displacement of the punch, D, were identi?ed and correlated by ?tting equations. The variation of q0 with D, obtained from Chakrabarty’s solution was compared with that obtained by FE analyses of the SPCT. When the initial thickness of the specimen increased and the radius of the punch decreased, the FE results, in terms of the variation of q0 versus D, showed to differ from