Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/20.500.14517/19

Browse

Browsing Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection by Author "Acar, Rüyam"

Filter results by typing the first few letters
Now showing 1 - 2 of 2
  • Thumbnail Image
    Book Part
    Phase field topology constraints
    (Springer, 2018) Acar,R.; Sağırlı,N.
    This paper presents a morphological approach to extract topologically critical regions in phase field models. There are a few studies regarding topological properties of phase fields. One line of work related to our problem addresses constrained phase field evolution. This approach is based on modifying the optimization problem to limit connectedness of the interface. However, this approach results in a complex optimization problem, and it provides nonlocal control. We adapted a non-simple point concept from digital topology to local regions using structuring masks. These regions can be used to constrain the evolution locally. Besides this approach is flexible as it allows the design of structuring elements. Such a study to define topological structures specific to phase field dynamics has not been done to our knowledge. © 2018, The Author(s) and the Association for Women in Mathematics.
  • Thumbnail Image
    Book Part
    Shape patterns in digital fabrication: A survey on negative poisson's ratio metamaterials
    (Springer, 2018) Yılmaz,B.; Adanova,V.; Acar,R.; Tari,S.
    Poisson’s ratio for solid materials is defined as the ratio of the lateral length shrinkage to the longitudinal part extension on a simple tension test. While Poisson’s ratio for almost every material in nature is a positive number, materials having negative Poisson’s ratio may be engineered. We survey computational works toward design and fabrication of negative Poisson’s ratio materials focusing on shape patterns from macro to micro scale. Specifically, we cover folding, knitting, and repeatedly ordering geometric structures, i.e., symmetry. Both pattern design and the numerical aspects of the problem yield various future research possibilities. © 2018, The Author(s) and the Association for Women in Mathematics.