Mathematical Modeling of Volumetric Material Growth in Thermoelasticity
نویسندگان
چکیده
منابع مشابه
Mathematical modeling of volumetric material growth in thermoelasticity
Growth (resp. atrophy) describes the physical processes by which a material of solid body increases (resp. decreases) its size by addition (resp. removal) of mass. In the present contribution, we propose a sound mathematical analysis of growth, relying on the decomposition of the geometric deformation tensor into the product of a growth tensor describing the local addition of material and an el...
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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, i...
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ژورنال
عنوان ژورنال: Journal of Elasticity
سال: 2014
ISSN: 0374-3535,1573-2681
DOI: 10.1007/s10659-014-9467-4