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Materials Testing

Tensile Test Simulator
Engineering / True Stress-Strain Conversion

Plot elastic, yielding, strain-hardening and necking regions in real time. Convert engineering to true stress-strain, toggle Bauschinger effect, and compute toughness indices.

Material Presets
Parameters
Young's Modulus E 206 GPa
Yield Stress σ_y 250 MPa
Tensile Strength σ_UTS 400 MPa
Elongation A% 25.0 %
Strain Hardening n 0.20
True Stress Curve
Bauschinger Effect
E (GPa)
σ_y (MPa)
σ_UTS (MPa)
UTS/Yield Ratio
Elongation A%
Area Reduction RA%
Resilience (kJ/m³)
Toughness (MJ/m³)

Key Equations

Engineering to true stress-strain conversion (uniform deformation):

$$\sigma_{true} = \sigma_{eng}(1 + \varepsilon_{eng}), \quad \varepsilon_{true} = \ln(1 + \varepsilon_{eng})$$

Hollomon power law: $\sigma = K\varepsilon^n$

Resilience: $U_r = \dfrac{\sigma_y^2}{2E}$,   Toughness: $U_T \approx \dfrac{\sigma_y + \sigma_{UTS}}{2}\varepsilon_f$

Area reduction: $RA = \dfrac{A_0 - A_f}{A_0} \times 100\%$

CAE note: True stress-strain data is directly input to Abaqus / LS-DYNA elastoplastic material cards (*MAT_PIECEWISE_LINEAR_PLASTICITY). Bauschinger effect is modelled with kinematic hardening.