<p>The working inter-electrode gap (IEG) environment during the reverse-micro electrical discharge machining (R-µEDM) process exclusively determines the quality occurrence of discharge (plasma) energy and its engagement with the machining surface. The evolution of a single crater with such discharge energy significantly impacts both characteristics of the machined surfaces (whether they are textured or smooth) and the machining speed (productivity). Therefore, it is essential to grasp the fundamentals of a singular crater evolution mechanism in relation to commonly used vibration assistance methods, the newly proposed dielectric rotation technique, and conventional (unassisted) R-µEDM flushing conditions. Since flushing conditions significantly influence the breakdown of dielectric fluid during the discharge phase, altering crater geometry formation, a complete understanding of these effects is required. In response to this, the present study proposes a theoretical formulation for dielectric fluid breakdown and discharge energy per pulse across the above-mentioned three flushing environments, accompanied by a 3-dimensional numerical model for the diameter (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\:D\)</EquationSource> </InlineEquation>), depth (<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\:h\)</EquationSource> </InlineEquation>) and bulging height (<InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\:r{\prime\:}\)</EquationSource> </InlineEquation>) of the formed crater. This model includes evolution of the workpiece’s crater under those three distinct flushing conditions, considering the impact of coupled active discharge energy, molten metal momentum and plasma pressure. The simulated findings demonstrate that environmental flushing across the IEG dominantly govern the development of crater geometry, including crater <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\:D\)</EquationSource> </InlineEquation>,<InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\:\:h\)</EquationSource> </InlineEquation>, and <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\:r{\prime\:}\)</EquationSource> </InlineEquation>. Furthermore, the simulated single crater morphology is satisfactory correlated through single discharge experiments, with reasonable agreements, with maximum errors of 11% for <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\:D\)</EquationSource> </InlineEquation>, 13% for <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(\:h\)</EquationSource> </InlineEquation> and 14% for <InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(\:r{\prime\:}\)</EquationSource> </InlineEquation>.</p>

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Dielectric Rotation/Vibration Effect on Crater Geometries in a Single Pulse R-µEDM: Theoretical Formulation, Numerical Modelling, and Experimental Results

  • Md Shamim Shah,
  • Priyabrata Sahoo,
  • Tej Pratap,
  • Rinku Kumar Gouda

摘要

The working inter-electrode gap (IEG) environment during the reverse-micro electrical discharge machining (R-µEDM) process exclusively determines the quality occurrence of discharge (plasma) energy and its engagement with the machining surface. The evolution of a single crater with such discharge energy significantly impacts both characteristics of the machined surfaces (whether they are textured or smooth) and the machining speed (productivity). Therefore, it is essential to grasp the fundamentals of a singular crater evolution mechanism in relation to commonly used vibration assistance methods, the newly proposed dielectric rotation technique, and conventional (unassisted) R-µEDM flushing conditions. Since flushing conditions significantly influence the breakdown of dielectric fluid during the discharge phase, altering crater geometry formation, a complete understanding of these effects is required. In response to this, the present study proposes a theoretical formulation for dielectric fluid breakdown and discharge energy per pulse across the above-mentioned three flushing environments, accompanied by a 3-dimensional numerical model for the diameter ( \(\:D\) ), depth ( \(\:h\) ) and bulging height ( \(\:r{\prime\:}\) ) of the formed crater. This model includes evolution of the workpiece’s crater under those three distinct flushing conditions, considering the impact of coupled active discharge energy, molten metal momentum and plasma pressure. The simulated findings demonstrate that environmental flushing across the IEG dominantly govern the development of crater geometry, including crater \(\:D\) , \(\:\:h\) , and \(\:r{\prime\:}\) . Furthermore, the simulated single crater morphology is satisfactory correlated through single discharge experiments, with reasonable agreements, with maximum errors of 11% for \(\:D\) , 13% for \(\:h\) and 14% for \(\:r{\prime\:}\) .