HOMOGENIZATION OF ELASTIC PLATE EQUATION∗

Krešimir Burazin, Jelena Jankov, Marko Vrdoljak
2018 Mathematical Modelling and Analysis  
We are interested in general homogenization theory for fourth-order elliptic equation describing the Kirchhoff model for pure bending of a thin solid symmetric plate under a transverse load. Such theory is well-developed for second-order elliptic problems, while some results for general elliptic equations were established by Zhikov, Kozlov, Oleinik and Ngoan (1979). We push forward an approach of Antoni´c and Balenovi´c (1999, 2000) by proving a number of properties of H-convergence for
more » ... ergence for stationary plate equation.
doi:10.3846/mma.2018.012 fatcat:jbvheff5mng4fljcnricz46pb4