Titlebook: Cosserat Theories: Shells, Rods and Points; M. B. Rubin Book 2000 Springer Science+Business Media Dordrecht 2000 continuum mechanics.devel

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Cosserat Rods,e in many applications. For example, the main supporting structures in buildings, and the connecting bars in trusses can be modeled as beams, whereas the curved reinforcement ribs of airplane wings and submarines, and the double helix of DNA molecules can be modeled as rods.

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Introduction,entum are used to determine the present values of the mass density and this position vector. Also, the balance of angular momentum is used to place restrictions on the constitutive equations of the continuum (i.e. the symmetry of the stress tensor).

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Introduction,ocation of each material point as a function of time. For the purely mechanical theory, the laws of conservation of mass and the balance of linear momentum are used to determine the present values of the mass density and this position vector. Also, the balance of angular momentum is used to place re

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Basic Tensor Operations in Curvilinear Coordinates, observed in the physical world. Almost always it is necessary to describe the location of a material point in space relative to some fixed point and relative to some specified fixed axes. The specific choice of these axes remains arbitrary but it is usually guided by desire to simplify some aspect

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Cosserat Shells,dy that is considered to be “thin” in one of its dimensions (see Fig. 4.1.1). In particular, the shell is characterized by its major surfaces (bottom and top) and its lateral surface. From another point of view, the shell is considered to be a material surface S which has some finite thickness bound

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