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    Providing opportunities for individual practice and assessment in a large undergraduate mathematics course
    many universities, undergraduate courses of fundamental subjects such as mathematics are taught to students enrolled in many different course programs. Since the fundamental subject is then taught without using examples from the students’ main subjects, this often results in low student motivation in the fundamental subject and lacking knowledge and skills of this subject even when necessary for the understanding of the students’ main subject. At Hamburg University of Technology, this applies to first year mathematics, which is taught in the same course to 1300 students enrolled in 12 different engineering study programs. We here present our approach to solving this dilemma: Opportunities for individual practice and feedback tailored to the needs of students of the different study courses, such that students apply mathematical concepts in the context of their main subject. This helps them to see the relevance of the content which might otherwise be perceived as bothersome and irrelevant, thereby increasing student motivation. Providing additional practice opportunities also increases perceived student self-efficacy, in turn enhancing motivation. We discuss our strategies to enhance student motivation as well as potential pitfalls and vicious circles and how to avoid them.
    Publicationtype: Conference Paper
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    Item type:Publication, Access status: with files ,
    Materials based design of structures: computational modeling of the mechanical behavior of gold-polymer nanocomposites
    This is an open access article under the CCBY-NC-ND license. The impact of small scale geometric confinement on deformation mechanisms is subject of intense research in materials sciences nowadays. Nanoporous metals have a microstructure with an extremely high volume-specific surface content. Due to a very high local strength and a relatively regular interconnection of the nanoconstituents as well as a low mass density, nanoporous metals are very good candidates for strong and light-weight structural materials. The modeling of a modern nanocomposite material of gold-polymer is in the focus of the contribution. A gradient extended crystal plasticity theory is applied to the computation of the mechanical response of the metal part of the composite and an elastic-viscoplastic continuum model is used for the simulation of the polymer material. The gradient hardening contribution is included into the crystal plasticity model in order to study the influence of the ligament size. Numerical results of the deformation of the gold-polymer nanocomposite under compression are presented. Simulation results are compared to the corresponding experimental data.
    Publicationtype: Journal Article
    Scopus© Citations 15  233  332
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    Application of a gradient crystal plasticity model to numerical analysis of metal part of nanoporous metal - Polymer composites
    (Elsevier, 2014-10) ;
    The application of a gradient extended theory to the computation of the mechanical response of a single crystalline sub-micron gold, which is the part of nano-composites, is in the focus of the contribution. The research takes into account the dependence of the macroscopic behavior of a crystalline material on the size and morphology of the grains, the volume fraction of different phases, and the subgrain material modeling. A gradient hardening contribution is included into the crystal plasticity model in order to study the influence of the grain size on the response of single crystalline. It is assumed that the grain boundaries act as barriers to plastic deformation. The highly coupled system of equations is solved by applying a dual mixed finite element algorithm. Numerical results of the sub-micron gold crystal deformation under cyclic shear loading are presented. The gradient effect in the deformation field is discussed.
    Publicationtype: Conference Paper
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