Digraph and matrix method to evaluate the machinability of tungsten carbide composite with wire EDM

Kamal Jangra, Sandeep Grover, Tung Sun Chan, Aman Aggarwal

Research output: Journal article publicationJournal articleAcademic researchpeer-review

51 Citations (Scopus)


Machinability aspect is of considerable importance for efficient process planning in manufacturing. Machinability of an engineering material may be evaluated in terms of the process output variables like material removal rate, processed surface finish, cutting forces, tool life, specific power consumption, etc. In this paper, graph theoretic approach (GTA) is proposed to evaluate the machinability of tungsten carbide composite. Material removal rate is considered as a machinability attribute of tungsten carbide to evaluate the effect of several factors and their subfactors. Factors affecting the machinability and their interactions are analyzed by developing a mathematical model using digraph and matrix method. Permanent function or machinability index is obtained from the matrix model developed from the digraphs. This index value helps in quantifying the influence of considered factors on machinability. In the present illustration, factors affecting machinability of tungsten carbide are grouped into five broad factors namely work material, machine tool, tool electrode, cutting conditions, and geometry to be machined. GTA methodology reveals that the machine tool has highest index value. Therefore, it is the most influencing factor affecting machinability.
Original languageEnglish
Pages (from-to)959-974
Number of pages16
JournalInternational Journal of Advanced Manufacturing Technology
Issue number9-12
Publication statusPublished - 1 Oct 2011


  • Graph theory
  • Machinability index
  • Tungsten carbide composite
  • Wire electrical discharge machining

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Mechanical Engineering
  • Computer Science Applications
  • Industrial and Manufacturing Engineering


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