A hierarchy of multilayered plate models
نویسندگان
چکیده
We derive a hierarchy of plate theories for heterogeneous multilayers from three dimensional nonlinear elasticity by means ?-convergence. allow layers composed different materials whose constitutive assumptions may vary significantly in the small film direction and which also have (small) pre-stress. By computing ?-limits energy regimes scaling pre-stress is non-trivial, we arrive at linearised Kirchhoff, von Kármán, fully linear theories, respectively, contain an additional spontaneous curvature tensor. The effective (homogenised) elastic constants plates will turn out to be given terms moments pointwise materials.
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ژورنال
عنوان ژورنال: ESAIM: Control, Optimisation and Calculus of Variations
سال: 2021
ISSN: ['1262-3377', '1292-8119']
DOI: https://doi.org/10.1051/cocv/2020067