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Titlebook: Elementary Continuum Mechanics for Everyone; With Applications to Esben Byskov Book 2013 Springer Science+Business Media Dordrecht 2013 Con

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发表于 2025-3-26 23:59:17 | 显示全部楼层
Grundfragen des musikalischen HörensThe derivation of the kinematics of the kinematically moderately nonlinear case follows exactly the same line, we will not redo that part of the foundation.
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https://doi.org/10.1007/978-3-322-85861-0This chapter is mainly concerned with constitutive relations for the infinitesimal theory, i.e. the mathematically linear theory. However, most of the formulas may be made valid for kinematically nonlinear cases provided sufficient care is taken in the selection of strain and stress measures.
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https://doi.org/10.1007/978-3-642-96900-3In this chapter we derive the kinematic and static equations for plane, straight beams. The reason why we do not treat beams in three-dimensional space is that this is not a book on beam theory—but rather a book on continuum mechanics which also shows how to derive theories for specialized continua such as beams and plates.
发表于 2025-3-27 18:33:08 | 显示全部楼层
Florian Langenscheidt,Peter MayCurved beams present additional problems in relation to straight ones. The reason is that the effects in the transverse direction are coupled with the effects in the axial direction—..
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https://doi.org/10.1007/978-3-7091-2170-2In . and ., which are concerned with plane, straight linearly elastic beams, the first with Bernoulli-Euler and the second with Timoshenko beams, respectively.
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https://doi.org/10.1007/978-3-642-79325-7The situation is different from the one we discussed in Chap. 11 in that we need to consider the shear stresses σ. = σ. in addition to the normal stresses σ. and σ. and thus the idea of “fibers” does not work well here.
发表于 2025-3-28 13:34:42 | 显示全部楼层
The Purpose of Continuum MechanicsContinuum mechanics is a vast subject in itself. Here, I intend to cover only the most basic elements of continuum mechanics of solids and structures and refer the interested reader to the above-mentioned books.
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