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Inverse modelling for determining non-linear constitutive relations

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Leistungen

Modern product development involves studies of the manufacturing process and product functionality in an early stage of the product development process. The ability to efficiently obtain the relevant material parameters in an analysis of an industrial process is of vital importance for the industrial use of these methods. In order to be able to evaluate experiments which does not necessarily represent a material point, the concept of inverse modelling will be used. The essence of the inverse modelling technique is that the evaluated experiments do not need to be homogenous with respect to the stress and strain distribution in the sample which creates the possibility to make the experiments less complicated and less expensive. The industrial processes that are the targets for this research project are primarily cold pressing of metal powder and thermo-mechanical loading of super-alloys. The main innovations in the project can be summarised as: -An inverse modelling system for determining constitutive relations of metal powder and super-alloys. -A method for exploring material responses that so far have not been possible to monitor. -Further advancements in the field of simulation techniques with respect to specific industrial applications. The objectives of the project are reached and in some aspects surpassed the expectations. The knowledge concerning inverse modelling with respect to the specific applications has been significantly increased during the project and the possibility to use inverse modelling for determining material properties has been shown. Strategies has been developed for the different applications and successfully demonstrated at the final meeting. New experiments suited for inverse modelling and the determination of material models have been developed. It is shown that relatively complex sets of material parameters can be determined by the use of inverse modelling. In the case of powder compaction it is shown that the required seven different parameters can be determined by the combination of analysis and a specially designed experiment. In the case of determining parameters for the modelling of tertiary creep in high temperature applications of super-alloys it is shown that material parameters can be determined by use of less numerous and less expensive experiments. It is also shown that the data obtained can be more consistent with the mathematical and physical foundations than the data obtained with traditional creep experiments. During the project, two test systems for inverse modelling have been developed, including optimisation shells and interfaces with the analysis systems that has been used for the modelling and analysis of the industrial applications. These systems with their user interfaces, optimisation methods and program interfaces can be integrated into one system in an exploitation phase.

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