Indian Science Cruiser

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Comparisons Extensions of Plastic zones for Micro-indentation of a Rigid Wedge to a semi-infinite block by Finite Element Analysis and Numerical Slip-line Field Techniques


Affiliations
1 Department of Mechanical Engineering, Kalyani Govt. Engineering College, West Bengal-741235, India
2 Department of Engineering and Technological Studies, University of Kalyani, Kalyani, West Bengal-741235, India
     

   Subscribe/Renew Journal


The present work compares the extension of plastic zones when a rigid indenter is indented to a semi-infinite block of Mild Steel by finite element analysis (FEA) and numerical slip-line field (SLF) technique. The semi-apex angle of the wedge is varied from 10° to 80° with different friction conditions. The previous works of the present authors showed that the lip profiles of deformed material around the wedge are nonlinear in nature. The results obtained from the present analysis, showed that extend of plastic zones obtained by SLF with parabolic lip and FEA are very close. Hence, the original proposition of the previous works by present authors that the nature of lip profile is non-linear is again proved in this present work.

Keywords

Micro-indentation, Finite Element Analysis, Numerical Technique, Slip-line Field.
User
Subscription Login to verify subscription
Notifications
Font Size

  • R. Hill, E.H. Lee and S.J. Trupper, “The Theory of Wedge Indentation of Ductile Materials”, Proc. R. Soc. Lond. A, 188, pp. 273-289, 1947.

  • J. Grunzweiz, I.M. Longman and N.J. Petch, “Calculation and Measurement of Wedgeindentation”, Journal of Mech. and Phys. of Solids, 2, pp. 81-86, 1954.

  • D.S. Dugdale, “Cone-indentation Experiments”, Journal of Mech. and Phys. of Solids, 2, pp.265-277, 1954.

  • W. Johnson, F.U. Mathab and J.B. Haddow, “The Indentation of a Semi-infinite Block by a Wedge of Comparable Hardness- I- Theoretical”, Int. Journal of Mechanical Science, 6, pp. 329-336, 1964.

  • B. Dodd, K. Osakada, “A note on the Type of Slipline Field for Wedge Indentation Determined by Computer”, Int. Journal of Mechanical Science, 16, pp. 931-938, 1976.

  • F. J. Locket, “Indentation of a Rigid/Plastic Material by a Conical Indenter”, Journal of Mech. and Phys. of Solids, 11, pp. 345-355, 1963.

  • T.O. Multhearn, “The Deformation of Metals by Vickers Type Pyramidal Indenter”, Journal of Mech. and Phys. of Solids, 7, pp. 85-96, 1959.

  • N.R. Chitkara and M. A. Butt, “ Numerical Construction of Axisymmetric Slip-Line Field for Indentation of a Thick Blocks by Rigid Conical Indenters and friction at Tool-Metal Interface”, Int. Journal of Mechanical Science, 34, pp. 849-862, 1992.

  • 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”, International Journal of Innovative Research in Science, Engineering and Technology, volume 4, 2015, 90-94.

  • A. K. Biswas, S. Das and S. Das, “MicroIndentation of Conical Rigid Wedge by Numerical Slip-line field theory: A Hybrid Approach”, Indian Science Cruiser, 31(3), pp.36-42, 2017.

  • A.K. Biswas, S. Das, B. Das and S. Das, “Estimating Conical Indentation Load by Numerical Slip-line Field Technique”, J. of Structural Engineering, Vol. 45, No.1, 2018, pp.118-124.

  • A. K. Biswas, S. Das and S. Das, “Determination of Hardness for Cone Indentation to a Semi-Infinite Block for Various Cone Angles and Friction Parameters by Numerical Slip-Line Field Technique”, Proc. ICTACEM-2017, Dec., 2017.


Abstract Views: 410

PDF Views: 3




  • Comparisons Extensions of Plastic zones for Micro-indentation of a Rigid Wedge to a semi-infinite block by Finite Element Analysis and Numerical Slip-line Field Techniques

Abstract Views: 410  |  PDF Views: 3

Authors

Arup K. Biswas
Department of Mechanical Engineering, Kalyani Govt. Engineering College, West Bengal-741235, India
Santanu Das
Department of Mechanical Engineering, Kalyani Govt. Engineering College, West Bengal-741235, India
Sanjoy Das
Department of Engineering and Technological Studies, University of Kalyani, Kalyani, West Bengal-741235, India

Abstract


The present work compares the extension of plastic zones when a rigid indenter is indented to a semi-infinite block of Mild Steel by finite element analysis (FEA) and numerical slip-line field (SLF) technique. The semi-apex angle of the wedge is varied from 10° to 80° with different friction conditions. The previous works of the present authors showed that the lip profiles of deformed material around the wedge are nonlinear in nature. The results obtained from the present analysis, showed that extend of plastic zones obtained by SLF with parabolic lip and FEA are very close. Hence, the original proposition of the previous works by present authors that the nature of lip profile is non-linear is again proved in this present work.

Keywords


Micro-indentation, Finite Element Analysis, Numerical Technique, Slip-line Field.

References





DOI: https://doi.org/10.24906/isc%2F2019%2Fv33%2Fi6%2F191730