A new model for nonlinear elastic plates with rapidly varying thickness,ii: the effect of the behavior of the forces when the thickness approaches zero |
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| Authors: | P.quintela Estevez |
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| Affiliation: | Departamento de Matematica Apiicada . Facultad de Matematicas , Universidad de Santiago de Compostela , Santiago de Compostela, 15706, SPAIN |
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| Abstract: | We consider a family of nonlinear elastic plates with rapidly varying thickness under the assumption that the three-dimensional constitutive equation is linear with respect to the "full" strain tensor (St. Venant-Kirchhoff material). The main goal of this paper is to shown that the limit problem, when the mean plate thickness converges to zero, may be a ill posed problem if the forces do not behave in an appropriate manner |
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| Keywords: | Elasticity nonlinearity plates periodicity asymptotic expansions multiple scales limit problem |
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