Browsing by Author "Schlömerkemper, Anja"

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    Gradient polyconvexity and modeling of shape memory alloys
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2021) Horák, Martin; Kružík, Martin; Pelech, Petr; Schlömerkemper, Anja
    We show existence of an energetic solution to a model of shape memory alloys in which the elastic energy is described by means of a gradient-polyconvex functional. This allows us to show existence of a solution based on weak continuity of nonlinear minors of deformation gradients in Sobolev spaces. Admissible deformations do not necessarily have integrable second derivatives. Under suitable assumptions, our model allows for solutions which are orientation-preserving and globally injective everywhere in the domain representing the specimen. Theoretical results are supported by three-dimensional computational examples. This work is an extended version of [36].
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    Mini-Workshop: Mathematics of Magnetoelastic Materials
    (Zürich : EMS Publ. House, 2016) Kruzik, Martin; Liu, Chun; Schlömerkemper, Anja
    The unifying theme of the workshop was the mathematical modeling, analysis, and numerical simulation of materials which involve magnetic and elastic interactions. During the workshop we identified several open problems from the calculus of variations, partial differential equations and modeling which appear to be essential in the understanding of the behavior of magnetoelastic materials.