English

Complex bodies with memory: linearized setting

Mathematical Physics 2015-05-13 v1 math.MP

Abstract

The mechanics of complex bodies with memory effects is discussed in linearized setting. The attention is focused on the characterization of free energies in terms of minimum work and maximum recoverable work in the bulk and along a discontinuity surface endowed with its own surface energy, a surface internal to the body. To this aim, use is made of techniques proposed by Del Piero. Consequences of the Clausius-Duhem inequality are investigated for complex bodies with instantaneous linear elastic response.

Keywords

Cite

@article{arxiv.0805.4307,
  title  = {Complex bodies with memory: linearized setting},
  author = {Paolo Maria Mariano and Paolo Paoletti},
  journal= {arXiv preprint arXiv:0805.4307},
  year   = {2015}
}

Comments

23 pages, accepted for publication in Mathematical Models in Applied Sciences

R2 v1 2026-06-21T10:44:53.478Z