Geodesic
A unilateral discrete contact problem for a functionally graded elastic strip
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2024), pp. 58-69

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The problem is considered for the indentation of a functionally graded strip by a rigid punch of finite dimension with a surface microrelief. Boundary variational formulations of the problem are given using the Poincaré–Steklov operator that maps contact stresses to displacements. To approximate this operator, the discrete Fourier transform is applied. A variational formulation of a boundary value problem for transforms of displacements is used to calculate a transfer function. Some regularities of contact interaction are established. 
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     author = {A. A. Bobylev},
     title = {A unilateral discrete contact problem for a functionally graded elastic strip},
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A. A. Bobylev. A unilateral discrete contact problem for a functionally graded elastic strip. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2024), pp. 58-69. http://geodesic.mathdoc.fr/item/VMUMM_2024_2_a7/