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Shape optimised geometries for ductile damaging materials
To calculate the gradients for the application in shape optimisation, a variational approach, see [4], is used. This allows the separation of the geometry and thus the distinct calculation of their respective [...] matrix Zn is introduced, which is the total design derivative of the history variables
δhn = Zn δs. (4)
Since the calculation of the sensitivity matrix is dependant on the (pseudo-)time increments within [...] 6555-6576 (2001). [3] F. Guhr, L. Sprave, F.-J. Barthold, and A. Menzel, Comp. Mech. 65, 1105-1124 (2020). [4] F.-J. Barthold, Habilitation, Braunschweiger Schriften zur Mechanik 44-2002, TU Braunschweig (2002) …