Semi-analytic inversion method for the determination of elastoplastic properties of power hardening materials from limited torsional experiment

Figures & data

Figure 1. The geometry of the torsion.

Figure 2. Plasticity functions for rigid and soft materials, and their corresponding torques.

Figure 3. The parameterization scheme.

Figure 4. Divergence of the parameterization algorithm.

Figure 5. The reconstructed curves g_h(ξ²) for different values of the angle step for rigid material (noise free data).

Table 1. Angle steps Δϕ₁ and corresponding errors δκ in the reconstruction of the parameter κ.

Δϕ1	κh	δκ
3.5	0.656	9.3 × 10^−2
7.0	0.636	6.0 × 10^−2
12.0	0.625	4.1 × 10^−2

Figure 6. The reconstructed curves g_h(ξ²), with noise data and Δϕ = 12.0 for rigid material.