Open Access
Subscription Access
Open Access
Subscription Access
Micro-indentation of a Conical Rigid Wedge by Numerical Slip-line Field Theory: A Hybrid Approach
Subscribe/Renew Journal
Slip-line field theory is generally applied for determination of plastic flow lines, stress, velocity of flow and plastic work. In this work, micro-indentation of a conical wedge into an infinitely long block has been analysed by numerical simulation of slip-line field equations. Though the previous works in this field considered straight line profile of the bulged material around the wedge, experimental results showed that the free surface of the material is not actually straight but curvilinear in shape. This work computes the slip line field considering the free surface separately as linear, or parabolic, or circular in nature. The combinations of linear and parabolic as well as linear and circular profiles are also studied. Results obtained in this work indicate suitability of the method showing good matching with the results reported in published literature.
Keywords
Surface Profile, Micro-indentation, Slip-line Field, Numerical Technique, Hybrid Analysis.
User
Subscription
Login to verify subscription
Font Size
Information
- R Hill, E H Lee and S J Tupper, The Theory of Wedge Indentation of Ductile Materials, Proceedings of Royale Society of London A, Vol 188, No.1013, page 273-289, 1947.
- J Grunzweig, I M Longman and N J Petch, Calculations and Measurements on WedgeIndentation, Journal Mechanics and Physics of Solids, Vol 2, page 81-86, 1954.
- R. Hill, On the Limits Set by Plastic Yielding to the Intensity of Singularities of Stress, Journal Mech. Phys. of Solids, Vol 2, page 278285, 1954.
- J B Haddow and H T Danyluc, Indentation of a Rigid-Plastic Semi-Infinite Media, by a Smooth Rigid Cone Fitted in a Prepared Cavity, Int. Journal of Mechanical Sciences, Vol 6, page 1-11, 1964.
- J B Haddow, On a Plane Strain Wedge Indentation Paradox, Int. Journal of Mechanical Sciences, Vol 9, No.4, page 159161, 1967.
- B Dodd and K Osakada, A Note on the Types of Slip-Line Field for Wedge Indentation Determined by Computer, Int. Journal of Mechanical Sciences, Vol 16, page 931-938, 1974.
- Y Bai and B Dodd, A Slip-Line Field Solution for Pale-Strain Indentation by Obtuse Angle Wedge, Int. Journal of Mechanical Sciences, Vol 24, page 119-123, 1982.
- N Ogasawara, N Chiba and X Chen, Limit Analysis-Based Approach to Determine the Material Plastic Properties with Conical Indentation, J. Mater. Res., Vol 21, No.10, page 2699-2700, 2006.
- T O Muliearn, The Deformation of Metals by Vickers-Type Pyramidal Indenters, J. Mech. Phys. Solids, Vol 7, page 85-96, 1959.
- A K Biswas, S Das, B Das and S Das, A SlipLine Field Solution for Micro-Indentation of a Rigid Conical Wedge by Numerical Technique, Int. Journal of Innovative Research in Science, Engineering and Technology, Vol 4, page 9094, 2015.
- J M Challen and P L B Oxley, Slip-Line Fields for Explaining the Mechanics of Polishing and Related Processes, Int. J. Mechanical Sciences, Vol 26, No.6-8, page 403-418, 1984.
- J M Challen and P L B Oxley, An Explanation of the Different Regimes of Friction and Wear Asperity Deformation Models, Wear, Vol 53, page 229-243, 1979.
- J M Challen, P L B Oxley and B S Hockenhull, Prediction of Archard’s Wear Co-Efficient for Metallic Sliding Friction Assuming a Low Cycle Fatigue Wear Mechanism, Wear, Vol 111, page 275-288, 1986.
- Y Yang and A A Torrance, Wear by Plastic Ratchetting: An Experimental Investigation, Wear, Vol 196, page 147-155, 1996.
- Y Yang, A A Torrance and P L B Oxley, Modelling Mechanical Wear Process in Metallic Sliding Friction, J. of Physics D. App. Phys., Vol 29, page 600-608, 1996.
- M. Busquet and A. Torrance, A Numerical Slip Line Field for Sliding Cylinder Problem, Wear, Vol 241, page 86-98, 2000.
- Bibliography
- R Hill, The Mathematical Theory of Plasticity, Oxford University Press, 1950.
- J Chakraborty, Theory of Plasticity, Elsevier Pub, 4th Edition, 2006.
Abstract Views: 493
PDF Views: 3