Variational sensitivity analysis of elastoplastic structures applied to optimal shape of specimens
| Autor: | Jan Liedmann, Franz-Joseph Barthold |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Control and Optimization
Variational sensitivity analysis Plasticity Parameter identification 02 engineering and technology Kinematics Geometric shape 01 natural sciences Stress (mechanics) Cross section (physics) 0203 mechanical engineering Sensitivity (control systems) 0101 mathematics Specimen shape optimization Physical quantity Mathematics Deformation (mechanics) business.industry Structural engineering Computer Graphics and Computer-Aided Design Computer Science Applications 010101 applied mathematics 020303 mechanical engineering & transports Control and Systems Engineering Engineering design process business Software |
| Popis: | The aim of this paper is to improve the shape of specimens for biaxial experiments with respect to optimal stress states, characterized by the stress triaxiality. Gradient-based optimization strategies are used to achieve this goal. Thus, it is crucial to know how the stress state changes if the geometric shape of the specimen is varied. The design sensitivity analysis (DSA) of the stress triaxiality is performed using a variational approach based on an enhanced kinematic concept that offers a rigorous separation of structural and physical quantities. In the present case of elastoplastic material behavior, the deformation history has to be taken into account for the structural analysis as well as for the determination of response sensitivities. The presented method is flexible in terms of the choice of design variables. In a first step, the approach is used to identify material parameters. Thus, material parameters are chosen as design variables. Subsequently, the design parameters are chosen as geometric quantities so as to optimize the specimen shape with the aim to obtain a preferably homogeneous stress triaxiality distribution in the relevant cross section of the specimen. Struct Multidisc Optim;61 |
| Databáze: | OpenAIRE |
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