<p>Electro-thermal mechanical testing (ETMT) with direct current and Joule heating was used to study the dissolution and formation of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11661_2025_7837_Article_IEq1.gif" Format="GIF" Height="18" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\gamma '\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>γ</mi> <mo>′</mo> </msup> </math></EquationSource> </InlineEquation> precipitates in miniaturised samples of the single crystal nickel-base superalloys, CMSX4 and CMSX10N. Alloys were subjected to heating and cooling cycles with resistivity simultaneously measured to infer <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11661_2025_7837_Article_IEq2.gif" Format="GIF" Height="18" Rendition="HTML" Resolution="72" Type="Linedraw" Width="54" /> </InlineMediaObject> <EquationSource Format="TEX">\(\gamma \leftrightarrow \gamma '\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>γ</mi> <mo stretchy="false">↔</mo> <msup> <mi>γ</mi> <mo>′</mo> </msup> </mrow> </math></EquationSource> </InlineEquation> phase transformations. Temperature-resolved resistivity measurements exhibit notable variations between samples; however, when normalized, the resistivity changes become systematic, with trends suitable to infer phase transformation behaviour. Specifically, dissolution and precipitation behaviour of the <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11661_2025_7837_Article_IEq1.gif" Format="GIF" Height="18" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\gamma '\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>γ</mi> <mo>′</mo> </msup> </math></EquationSource> </InlineEquation> phase with respect to heating or cooling rates can be determined. The ETMT measured <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11661_2025_7837_Article_IEq1.gif" Format="GIF" Height="18" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\gamma '\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>γ</mi> <mo>′</mo> </msup> </math></EquationSource> </InlineEquation> solvus is lower compared with the calorimetric/thermodynamic value and approaches the latter, when the resistivity values exceed a threshold value, which is temperature dependent. The differences in the resistivity curves cannot be explained by the range in <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11661_2025_7837_Article_IEq1.gif" Format="GIF" Height="18" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\gamma '\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>γ</mi> <mo>′</mo> </msup> </math></EquationSource> </InlineEquation> size distribution within the specimens; rather, the difference becomes prominent above a threshold current density, which occurs above a given temperature. Like in the case of dissolution, the nucleation and precipitation of <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11661_2025_7837_Article_IEq1.gif" Format="GIF" Height="18" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\gamma '\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>γ</mi> <mo>′</mo> </msup> </math></EquationSource> </InlineEquation> is dependent on the normalized resistivity, but independent of stress, if cooling occurs under restraints in case of the latter. A greater <InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11661_2025_7837_Article_IEq1.gif" Format="GIF" Height="18" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\gamma '\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>γ</mi> <mo>′</mo> </msup> </math></EquationSource> </InlineEquation> solvus corresponds to an increased nucleation temperature, implying a varying undercooling for nucleation when calculated with respect to the thermodynamic solvus. When stress develops during cooling, it increases rapidly above a critical <InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11661_2025_7837_Article_IEq1.gif" Format="GIF" Height="18" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\gamma '\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>γ</mi> <mo>′</mo> </msup> </math></EquationSource> </InlineEquation> mole-fraction when precipitation hardening becomes prominent. Given these features are endemic to ETMT, some guidelines are offered for use of ETMT tests in specific applications.</p>

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Key Considerations of Electro-thermal Mechanical Testing in Ni-Base Superalloy Phase Transformations

  • N. D’Souza,
  • B. Roebuck,
  • I. M. Edmonds,
  • G. D. West,
  • D. M. Collins

摘要

Electro-thermal mechanical testing (ETMT) with direct current and Joule heating was used to study the dissolution and formation of \(\gamma '\) γ precipitates in miniaturised samples of the single crystal nickel-base superalloys, CMSX4 and CMSX10N. Alloys were subjected to heating and cooling cycles with resistivity simultaneously measured to infer \(\gamma \leftrightarrow \gamma '\) γ γ phase transformations. Temperature-resolved resistivity measurements exhibit notable variations between samples; however, when normalized, the resistivity changes become systematic, with trends suitable to infer phase transformation behaviour. Specifically, dissolution and precipitation behaviour of the \(\gamma '\) γ phase with respect to heating or cooling rates can be determined. The ETMT measured \(\gamma '\) γ solvus is lower compared with the calorimetric/thermodynamic value and approaches the latter, when the resistivity values exceed a threshold value, which is temperature dependent. The differences in the resistivity curves cannot be explained by the range in \(\gamma '\) γ size distribution within the specimens; rather, the difference becomes prominent above a threshold current density, which occurs above a given temperature. Like in the case of dissolution, the nucleation and precipitation of \(\gamma '\) γ is dependent on the normalized resistivity, but independent of stress, if cooling occurs under restraints in case of the latter. A greater \(\gamma '\) γ solvus corresponds to an increased nucleation temperature, implying a varying undercooling for nucleation when calculated with respect to the thermodynamic solvus. When stress develops during cooling, it increases rapidly above a critical \(\gamma '\) γ mole-fraction when precipitation hardening becomes prominent. Given these features are endemic to ETMT, some guidelines are offered for use of ETMT tests in specific applications.