Breadcrumb

Cooperative behaviour in multi-phase materials

Supervisor: Isaac Chenchiah

Theme: Materials Science

When multiple phases coexist in a solid (usually as result of a solid-solid phase transition) the behaviour of the solid as a whole is strongly influenced, even determined, by cooperative effects between these phases. Such cooperative behaviour is typically not easy to study and the development of mathematical tools to do so has been a major theme of mathematical materials science in recent years.

There are several possible PhD projects in this broad area which I will be happy to discuss with interested applicants.


Publications

  • The relaxation of two-well energies with possibly unequal moduli (2008)
    Isaac V. Chenchiah, Kaushik Bhattacharya
    Archive for Rational Mechanics and Analysis, vol: 187, Issue: 3, Pages: 409 - 479
    DOI: 10.1007/s00205-007-0075-3
    URL provided by the author
  • Examples of nonlinear homogenization in plane strain involving degenerate energies. I. Plane strain (2005)
    Isaac V. Chenchiah, Kaushik Bhattacharya
    Proceedings of the Royal Society A - Mathematical, Physical and Engineering Sciences, vol: 461, Issue: 2063, Pages: 3681 - 3703
    DOI: 10.1098/rspa.2005.1515
    URL provided by the author
  • Towards the efficient computation of effective properties of microstructured materials (2004)
    Carl-Friedrich Kreiner, Johannes Zimmer, Isaac V. Chenchiah
    Comptes Rendus Mecanique, vol: 332, Issue: 3, Pages: 169 - 174
    DOI: 10.1016/j.crme.2004.01.011
    URL provided by the author