Elastic equilibrium and effective elastic constants of a cross-reinforced fiber composite
A solution of the problem on a stressed state of the cross-reinforced fibrous composite under condition of macroscopically uniform external loading is obtained. The initial tri-periodic problem is reduced to the problem for a layer whose displacement vector is presented as a series by especially constructed systems of inner and outer bi-periodical solutions of the Lamé equation. Using representations of partial solutions in different coordinate bases, the initial boundary problem is reduced to an infinite system of linear algebraic equations.
infinite system of linear algebraic equations
scientific article; zbMATH DE number 553510
scientific article