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Sensitivity analysis of elastoplastic structures and application to optimal specimen design
Author(s) -
Liedmann Jan,
Barthold Franz-Joseph,
Gerke Steffen,
Brünig Michael
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900244
Subject(s) - sensitivity (control systems) , materials science , stress (linguistics) , deformation (meteorology) , homogeneous , structural engineering , mechanics , optimal design , composite material , computer science , mathematics , engineering , physics , philosophy , linguistics , electronic engineering , machine learning , combinatorics
This paper is concerned with the shape improvement of novel specimens for biaxial experiments in terms of optimal stress states, characterized by the stress triaxiality. For this, gradient based optimization strategies are utilized and the needed sensitivities are obtained using a variational approach. Considering elastoplastic material behavior, the deformation history as well as its sensitivity has to be taken into account. In a first step, the material parameters have to be identified for the given material (AlCuMgSi). With the identified parameters, a chosen specimen is numerically analyzed and optimized with the aim to achieve a preferably homogeneous stress triaxiality distribution in the relevant part of the specimen.