Laminations in Linearized Elasticity: The Isotropic Non-very Strongly Elliptic Case
Laminations in Linearized Elasticity: The Isotropic Non-very Strongly Elliptic Case
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线性弹性叠片：各向同性非强椭圆情况
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
S. Gutiérrez
中科院分区：
文献类型：
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作者：
S. Gutiérrez
通过显式计算两个均匀弹性介质层压产生的材料的有效弹性张量，表明在二维和三维线弹性中，对于任何弹性张量为强椭圆但非半正定的各向同性材料a，我们可以选择非常强的椭圆材料，从而通过这些材料与材料a之间的层压，我们可以创建一个非强椭圆介质，它的存在与弹性波传播的性质相矛盾。
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.