### Abstract

Language | English |
---|---|

Pages | 664-689 |

Number of pages | 26 |

Journal | Zeitschrift fur Angewandte Mathematik und Mechanik |

Volume | 95 |

Issue number | 7 |

Early online date | 12 Mar 2014 |

DOIs | |

Publication status | Published - 31 Jul 2015 |

### Fingerprint

### Keywords

- well-posedness
- elasticity theory
- micro-structure
- boundary value problem

### Cite this

*Zeitschrift fur Angewandte Mathematik und Mechanik*,

*95*(7), 664-689. https://doi.org/10.1002/zamm.201300297

}

*Zeitschrift fur Angewandte Mathematik und Mechanik*, vol. 95, no. 7, pp. 664-689. https://doi.org/10.1002/zamm.201300297

**On some models for elastic solids with micro-structure.** / Picard, R.; Trostorff, S.; Waurick, M.

Research output: Contribution to journal › Article

TY - JOUR

T1 - On some models for elastic solids with micro-structure

AU - Picard, R.

AU - Trostorff, S.

AU - Waurick, M.

PY - 2015/7/31

Y1 - 2015/7/31

N2 - We review the concept of well-posedness in the context of evolutionary problems from mathematical physics for a particular subclass of problems from elasticity theory modeling solids with micro-structure. The complexity of physical phenomena appears as encoded in so called material laws. The usefulness of the structural perspective developed is illustrated by showing that many initial boundary value problems in the theory of such elastic solids share the same type of solution theory. Moreover, interconnections of the respective models are discussed via a previously introduced mother/descendant mechanism.

AB - We review the concept of well-posedness in the context of evolutionary problems from mathematical physics for a particular subclass of problems from elasticity theory modeling solids with micro-structure. The complexity of physical phenomena appears as encoded in so called material laws. The usefulness of the structural perspective developed is illustrated by showing that many initial boundary value problems in the theory of such elastic solids share the same type of solution theory. Moreover, interconnections of the respective models are discussed via a previously introduced mother/descendant mechanism.

KW - well-posedness

KW - elasticity theory

KW - micro-structure

KW - boundary value problem

UR - http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001

U2 - 10.1002/zamm.201300297

DO - 10.1002/zamm.201300297

M3 - Article

VL - 95

SP - 664

EP - 689

JO - Zeitschrift fur Angewandte Mathematik und Mechanik

T2 - Zeitschrift fur Angewandte Mathematik und Mechanik

JF - Zeitschrift fur Angewandte Mathematik und Mechanik

SN - 0044-2267

IS - 7

ER -