Laminations in Linearized Elasticity: The Isotropic Non-very Strongly Elliptic Case |
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Authors: | Sergio Gutiérrez |
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Institution: | (1) Facultad de Matemáticas, Pont. Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile |
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Abstract: | The explicit computation of the effective elasticity tensor of the material produced by laminating two homogeneous elastic
media is used to show that, in 2-dimensional and 3-dimensional linear elasticity, for any isotropic material a whose elasticity tensor is strongly elliptic, but not semipositive definite, we can select very strongly elliptic materials,
so that through laminations between these with material a, we can create a nonstrongly elliptic media, whose existence contradicts properties concerning the propagation of elastic
waves.
This revised version was published online in August 2006 with corrections to the Cover Date. |
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Keywords: | linearized elasticity laminations homogenization strong ellipticity null Lagrangians |
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