Mathematik in den Naturwissenschaften Leipzig Plate theory for stressed heterogeneous multilayers of finite bending energy by Bernd Schmidt
Mathematik in den Naturwissenschaften Leipzig Plate theory for stressed heterogeneous multilayers of finite bending energy by Bernd Schmidt
复制标题
DOI：
--
复制
发表时间：
2006
期刊：
影响因子：
--
通讯作者：
B. Schmidt
中科院分区：
文献类型：
--
作者：
B. Schmidt
We derive plate theory for (possibly slightly stressed) heterogeneous multilayers in the regime of finite bending energies from three-dimensional elasticity theory by means of Γ-convergence. This extends results in [6, 19] to non-homogeneous materials. As expected from the homogeneous case we obtain a limiting energy functional depending on the second fundamental form of the plate surface. The effective elastic constants of the heterogeneous films will turn out to depend on the moments of the pointwise elastic constants of the materials.
