Every m-dimensional (m greater than or equal to 2) homogeneous deformation is shown to consist in a succession of a uniform dilatation, a rotation, and m - 1 simple shears. This decomposition constitutes an extension of those owing to Kelvin and Tait [9] and Love [4] and allows for a more physical understanding of Noll's mathematical definition of a simple fluid. [References: 14]
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