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Cosserat Continuum Statics

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Cosserat Continuum Mechanics

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 87))

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Abstract

In this chapter conservation considerations are firstly introduced. The virtual work principle, together with equilibrium equations in generalized curvilinear coordinate systems, are briefed under the auspices of the new mathematical representation, with working examples of how they reduce in cartesian, polar cylindrical and spherical coordinate systems. Finally, the definition of the concept of the traction motor—in accordance to the concept of the traction vector through Cauchy’s tetrahedron—is detailed.

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References

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Correspondence to Ioannis Vardoulakis .

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Vardoulakis, I. (2019). Cosserat Continuum Statics. In: Cosserat Continuum Mechanics . Lecture Notes in Applied and Computational Mechanics, vol 87. Springer, Cham. https://doi.org/10.1007/978-3-319-95156-0_4

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  • DOI: https://doi.org/10.1007/978-3-319-95156-0_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-95155-3

  • Online ISBN: 978-3-319-95156-0

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