Homogenization of Fiber Reinforced Brittle Materials: The Extremal Cases
نویسندگان
چکیده
منابع مشابه
Homogenization of Fiber Reinforced Brittle Materials: The Extremal Cases
We analyze the behavior of a fragile material reinforced by a reticulated elastic unbreakable structure in the case of antiplane shear. The microscopic geometry of this material is described by means of two small parameters: the period ε of the grid and the ratio δ between the thickness of the fibers and the period ε. We show that the asymptotic behavior as ε → 0 and δ → 0 depends dramatically ...
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We derive a cohesive fracture model by homogenizing a periodic composite material whose microstructure is characterized by the presence of brittle inclusions in a reticulated unbreakable elastic structure.
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We analyze the asymptotic behavior of the antiplane deformations of a fragile material reinforced by a reticulated elastic structure. The microscopic geometry of this material is described by means of two “small” parameters: the size ε of the periodic grid and the ratio δ between the thickness of each of the fibers and their period of distribution. We show that this behavior depends dramaticall...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2009
ISSN: 0036-1410,1095-7154
DOI: 10.1137/080744372