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- W81337780 abstract "This chapter presents kinematics of a deformable medium. In kinematics, a moving continuum may be represented by different kinds of geometrical configurations, phase spaces, real material bodies, and other objects. For a material continuum, the specification can theoretically be realized by a closed system of physical equations defining uniquely the motion of given elements of the medium. The continuous one-to-one mapping corresponds to a displacement and a deformation in which points are transformed into points, curves into curves, volumes into volumes, and closed curves map on to closed curves and closed surfaces on to closed surfaces. For an affine deformation, the relative displacement and deformation of any points with given moving coordinates have the same values when they are referred to any point B of the region V as origin. The property that relative displacements and deformations are independent of the choice of origin in the volume V 0 characterizes the homogeneity of the affine deformation." @default.
- W81337780 created "2016-06-24" @default.
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- W81337780 date "1966-01-01" @default.
- W81337780 modified "2023-09-23" @default.
- W81337780 title "KINEMATICS OF A DEFORMABLE MEDIUM" @default.
- W81337780 doi "https://doi.org/10.1016/b978-1-4831-9757-9.50008-x" @default.
- W81337780 hasPublicationYear "1966" @default.
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