Figure 4: Convergence of modeled energy with respect to the number of JIM and to the number of subareas Figure 5: Convergence analysis of Euclidian norm of the gap and the joint pressure with respect to the number of JIM and to the number of subareas 6.2. Hertzian stress example A Hertz type contact problem, as outlined in Figure 6, has been investigated. The plane strain problem consists of a plane part and a curved part which are moved towards each other so that contact occurs. The joint area for which joint interface modes are computed is outlined with red dots in Figure 6. The JIM have been computed along the approach outlined in section 4 and 5.2. A reference computation has be done using the commercial software ABAQUS using all nodal degrees of freedom. Figure 6: Hertzian contact problem See Figure 7 for a qualitative convergence study of the von Mises stress in the contact area. It can be seen, that both approaches leads to a similar convergence characteristics and the use of 30 JIM delivers very good results. 26
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