Authors: Waschinsky, Navina
Title: Structural optimisation of diffusion-driven degradation processes
Language (ISO): en
Abstract: In the field of structural engineering, structures are developed and calculated. The stresses and deformations resulting from mechanical loads are determined, and the structures are dimensioned to ensure load-bearing capacity, usability and durability in accordance with standards. The application of structural optimisation algorithms enables the development of more efficient and economical building structures, whereby maximum permissible stresses can be exhausted. However, standardised calculations take environmental influences, such as chemical impact, only via so-called exposure classes and resulting material properties into account. Detailed calculations on the influence of stresses and deformations of the structures, especially due to the long-term chemical influence and resulting material degradation, are often neglected. For example, specific stress constraints may be exceeded. Within the scope of the present work, a numerical programme is developed, enabling an efficient optimisation of mechanical structures that are additionally burdened by degradation processes due to diffusive concentrations. For this purpose, a mechanicalchemical- degradation coupled model is developed. Within the framework of classical structural mechanics, the developed material behaviour is presented, taking into account modified physical principles of continuum mechanics to describe a mechanical-chemicaldegradation coupled processes. With the help of the fundamentals of the Finite Element Method (FEM), the solution of the non-linear problem is outlined in detail. Furthermore, the developed structural analysis is embedded in a mathematical algorithm of gradient-based structural optimisation. The optimisation allows a deeper analysis and reduction of the harmful effects due to the influence of acting chemical concentrations. A variational approach to structural optimisation provides the simultaneous integration of analytically prepared sensitivity analysis with the structural analysis for embedding the continuum mechanical formulations. Thus, efficient structural optimisation of the introduced mechanical-chemical-degradation model is comprehensively presented. The mathematical model with the required derivations as well as discretisation is documented and implemented in a computer-based model.
Subject Headings: Coupled problems
Mechanical diffusion coupling
Shape optimisation
Subject Headings (RSWK): Numerisches Verfahren
Issue Date: 2021
Appears in Collections:Lehrstuhl Statik und Dynamik

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