Research

Young measure flow as a model for damage


Reference:

Rieger, M. O. and Zimmer, J., 2009. Young measure flow as a model for damage. Zeitschrift für Angewandte Mathematik und Physik, 60 (1), pp. 1-32.

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    Official URL:

    http://dx.doi.org/10.1007/s00033-008-7016-3

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    Abstract

    Models for hysteresis in continuum mechanics are studied that rely on a time-discretised quasi-static evolution of Young measures akin to a gradient flow. The main feature of this approach is that it allows for local, rather than global minimisation. In particular, the case of a non-coercive elastic energy density of Lennard-Jones type is investigated. The approach is used to describe the formation of damage in a material; existence results are proved, as well as several results highlighting the qualitative behaviour of solutions. Connections are made to recent variational models for fracture.

    Details

    Item Type Articles
    CreatorsRieger, M. O.and Zimmer, J.
    DOI10.1007/s00033-008-7016-3
    Related URLs
    URLURL Type
    http://www.scopus.com/inward/record.url?scp=57849156904&partnerID=8YFLogxKUNSPECIFIED
    Uncontrolled Keywordsfracture,elasticity,continuum mechanics
    DepartmentsFaculty of Science > Mathematical Sciences
    Research Centres
    Publisher Statementriegerzimmer.pdf: The final publication is available at Springer via http://dx.doi.org/10.1007/s00033-008-7016-3
    RefereedYes
    StatusPublished
    ID Code15446

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