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On volumetric growth and material frames

Abstract : A theory of volumetric growth on differentiable manifolds is presented. A balance law for an extensive property, that includes a source term, induces material structure and bodies. Transformation rules for the basic variables that represent growth, under a change of frame in the physical event space, are examined and the material frame, where the volumetric growth has a simple canonical form, is defined. Finally, we give a frame-invariant variational version of volumetric growth.
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https://hal.archives-ouvertes.fr/hal-01064816
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  • HAL Id : hal-01064816, version 1

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Reuven Segev, Guy Rodnay. On volumetric growth and material frames. Extracta Mathematicae, 1999, 14 (2), pp.191-203. ⟨hal-01064816⟩

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