Fig 1.
Strain energy for uniaxial stress.
Fig 2.
Linear elastic potentials for different Poisson’s ratios in octahedral stress plot.
Fig 3.
Relationship between Poisson’s ratio and critical state friction angle for soils.
Fig 4.
Elastic potentials as yield surfaces for Solnhofen limestone.
Lines: Eq 9. Symbols: experimental data after Mogi [21]. Compressive stresses positive.
Fig 5.
Relationship between α and ν for metallic glasses.
Fig 6.
Fitted yield surface of a metallic glass tested by Qu et al. [23].
Fig 7.
Fitted yield surfaces of amorphous polymers tested by Raghava et al. [24].
Polycarbonate (PC) (σc/σt = 1.2; ν = 0.42) [24]; Polyvinyl Chloride (PVC) (σc/σt = 1.33; ν = 0.38) [24]; Polystyrene (PS) [25].
Fig 8.
Non-linear elastic potential in 3D principal stress space (n≈0.5, νref = 0.3, pt = 0, σb = 0.1pc): (a) compressive side view; (b) tensile side view.
Fig 9.
Biaxial non-linear elastic potentials (σ3 = 0).
Fig 10.
Non-linear elastic potentials in octahedral stress plot for the triaxial plane (σ2 = σ3).
Fig 11.
Non-linear elastic potentials in deviatoric plane.
Fig 12.
Influence of non-linearity for incompressible materials: Deviatoric plane section of the yield surface.