Abstract
The linear couple-stress theory of Mindlin and Tiersten is reformulated allowing also for dislocations and disclinations. The governing equations are compiled in form of a Tonti diagram.
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References
Anthony, K.H.: Die Theorie der Disklinationen. Archive for Rational Mechanics and Analysis 39, 43–88 (1970)
de Boer, R.: Vektor- und Tensorrechnung für Ingenieure. Springer, Berlin (1982)
Mindlin, R.D., Tiersten, H.F.: Effects of couple-stresses in linear elasticity. Archive for Rational Mechanics and Analysis 11, 415–448 (1962)
Tonti, E.: On the mathematical structure of a large class of physical theories. Atti della Accademia Nazionale dei Lincei, Serie Ottava, Rendiconti, Classe di Scienze fisiche, matematiche e naturali 52, 48–56 (1972)
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Braun, M. (2010). Linear Elasticity with Couple Stresses. In: Ganghoffer, JF., Pastrone, F. (eds) Mechanics of Microstructured Solids 2. Lecture Notes in Applied and Computational Mechanics, vol 50. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05171-5_1
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DOI: https://doi.org/10.1007/978-3-642-05171-5_1
Publisher Name: Springer, Berlin, Heidelberg
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