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On vectorially parameterized natural strain measures of the non-linear Cosserat continuum

✍ Scribed by W. Pietraszkiewicz; V.A. Eremeyev

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 174 KB
Volume: 46
Category: Article
ISSN: 0020-7683
DOI: 10.1016/j.ijsolstr.2009.01.030

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✦ Synopsis

The natural Lagrangian stretch and wryness tensors of the non-linear Cosserat continuum are expressed in terms of the general finite rotation vector. These expressions are then specialized for seven particular definitions of the rotation vectors known in the literature. It is expected that some of the vectorially parameterized strain measures derived here may be more convenient than others in specific applications.

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On natural strain measures of the non-linear micropolar continuum

✍ W. Pietraszkiewicz; V.A. Eremeyev 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 316 KB

We discuss three different ways of defining the strain measures in the non-linear micropolar continuum: (a) by a direct geometric approach, (b) considering the strain measures as the fields required by the structure of local equilibrium conditions, and (c) requiring the strain energy density of the