<p>The present study investigates the formability behavior of Inconel 718 (IN718) sheets during single-stage (SHET) and two-stage hole-expansion (THET) tests. For THET experiments, 8% equi-biaxial pre-strain was imparted in the first stage of deformation. The anisotropic Barlat Yld89 material model was used in the finite element (FE) modeling of SHET and THET tests. Moreover, the calibrated Hosford-Coulomb (HC) advanced ductile damage model-based fracture forming limit diagram (FFLD) in the principal strain (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\varepsilon_{1} - \varepsilon_{2} )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>ε</mi> <mn>1</mn> </msub> <mo>-</mo> <msub> <mi>ε</mi> <mn>2</mn> </msub> <mrow> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> and polar effective plastic strain (PEPS) spaces were used as failure criteria in FE simulations. It was found that the <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\varepsilon_{1} ,\varepsilon_{2}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>ε</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>ε</mi> <mn>2</mn> </msub> </mrow> </math></EquationSource> </InlineEquation>-based and PEPS-based HC-FFLDs precisely predicted the fracture onset, with errors of 3.23% and 2.67% for SHET and THET, respectively. Due to pre-strain, the hole expansion ratio of the THET cups reduced by 30.20%. The FE analyses showed that the strain path continuously changed from the tension–compression to tension-tension deformation mode for both the SHET and THET cases.</p>

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Quantifying Formability during Two-Stage Forming of Aerospace Alloys using Hosford-Coulomb Ductile Damage Model Framework

  • Abdul Samad,
  • Pushpanjali Kumari,
  • S Chenna Krishna,
  • Pravin Muneshwar,
  • Shamik Basak

摘要

The present study investigates the formability behavior of Inconel 718 (IN718) sheets during single-stage (SHET) and two-stage hole-expansion (THET) tests. For THET experiments, 8% equi-biaxial pre-strain was imparted in the first stage of deformation. The anisotropic Barlat Yld89 material model was used in the finite element (FE) modeling of SHET and THET tests. Moreover, the calibrated Hosford-Coulomb (HC) advanced ductile damage model-based fracture forming limit diagram (FFLD) in the principal strain ( \(\varepsilon_{1} - \varepsilon_{2} )\) ε 1 - ε 2 ) and polar effective plastic strain (PEPS) spaces were used as failure criteria in FE simulations. It was found that the \(\varepsilon_{1} ,\varepsilon_{2}\) ε 1 , ε 2 -based and PEPS-based HC-FFLDs precisely predicted the fracture onset, with errors of 3.23% and 2.67% for SHET and THET, respectively. Due to pre-strain, the hole expansion ratio of the THET cups reduced by 30.20%. The FE analyses showed that the strain path continuously changed from the tension–compression to tension-tension deformation mode for both the SHET and THET cases.