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F. Klocke, V. Bäcker, H. Wegner and A. Timmer.<br />

2 MODEL DEVELOPMENT<br />

In <strong>the</strong> following sections <strong>the</strong> developed FE-models will be described (Figure 1).<br />

Figure 1: Modelling <strong>of</strong> <strong>the</strong> <strong>roller</strong> <strong>burnishing</strong> <strong>process</strong> <strong>for</strong> dif<strong>fe</strong>rent geometries<br />

The determination <strong>of</strong> an accurate stress distribution in <strong>the</strong> rime zone requires a high<br />

number <strong>of</strong> elements, which makes a simulation <strong>of</strong> <strong>the</strong> complete geometry impossible.<br />

There<strong>for</strong>e cut-out dimensions <strong>for</strong> each geometry were defined. This allows a robust and timeefficient<br />

<strong>roller</strong> <strong>burnishing</strong> simulation. In order to ensure a minimal influence <strong>of</strong> <strong>the</strong> boundaries<br />

on <strong>the</strong> stress development, symmetric boundary conditions were applied on <strong>the</strong>se surfaces.<br />

Each section was modelled as a de<strong>for</strong>mable 3D-body. The <strong>roller</strong> <strong>burnishing</strong> tools were<br />

simplified and modelled as rigid balls. This assumption is valid, because <strong>of</strong> <strong>the</strong> high hardness<br />

<strong>of</strong> <strong>the</strong> tungsten carbide <strong>roller</strong> ball (~2400 HV) compared to <strong>the</strong> <strong>process</strong>ed material (~450 HV).<br />

Contact between tool and workpiece was modelled using a finite-sliding <strong>for</strong>mulation where<br />

separation and sliding <strong>of</strong> finite amplitude, and arbitrary rotation <strong>of</strong> <strong>the</strong> surfaces may arise. The<br />

normal contact behaviour between <strong>the</strong> contact surfaces was modelled using <strong>the</strong> hard contact<br />

<strong>for</strong>mulation implemented in ABAQUS. The contact constraint is en<strong>for</strong>ced with a Lagrange<br />

multiplier representing <strong>the</strong> contact pressure in a mixed <strong>for</strong>mulation. The friction was modelled<br />

using an extended version <strong>of</strong> <strong>the</strong> classical isotropic Coulomb friction model. The extensions<br />

include an additional limit on <strong>the</strong> allowable shear stress, anisotropy, and <strong>the</strong> definition <strong>of</strong> a<br />

“secant” friction coefficient. Thereby, <strong>the</strong> friction model is able to consider stick-slip-ef<strong>fe</strong>cts,<br />

which can occur during <strong>roller</strong> <strong>burnishing</strong> at high pressures.<br />

The behaviour <strong>of</strong> <strong>the</strong> used materials, IN718 and Ti-6Al-4V, was modelled using <strong>the</strong><br />

implemented ABAQUS material models <strong>for</strong> metals subjected to cyclic loading. The elastic<br />

material behaviour was described using a linear elasticity model, whereas <strong>for</strong> <strong>the</strong> plastic<br />

behaviour a nonlinear, isotropic/kinematic hardening model was used. The model parameters<br />

<strong>for</strong> <strong>the</strong> description <strong>of</strong> <strong>the</strong> elastic material behaviour and <strong>for</strong> <strong>the</strong> plastic hardening were<br />

determined from material examinations and cyclic tests.<br />

2

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