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80 ©2023 ANSYS, Inc. Hencky Hyperelastic Model • Finite strain extension of small strain isotropic linear elasticity (Hooke's law) • Linear relationship between Kirchhoff stress and Eulerian logarithmic strain : = : • – isotropic linear elastic material tensor • Parameters: shear modulus and bulk modulus • Main application in combination with finite strain plasticity (no conversion between strain measures during return mapping) • Can be also used as standalone hyperelastic model Neo-Hookean Hencky Number of iterations 408 461 Simulation time [s] 187 155 → almost identical results in finite strain elasto- plastic necking simulation → Hencky model is significantly faster TD-68: Hydrostatic Extrusion of Hyperelastic-plastic material NLEPEQ • Large elastic and plastic strains. • Multiplicative decomposition based hyperelastic-plastic material model. • Fluid-Penetration load to simulate hydrostatic pressure. • Frictional contact b/w die(rigid) and billet VM318 – Necking of circular bar