Titlebook: Mechanics of Periodically Heterogeneous Structures; Leonid I. Manevitch,Victor G. Oshmyan,Igor V. Andr Book 2002 Springer-Verlag Berlin He

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Application of cell functions for the calculation of binary composite elastic moduli,composite of periodic structure is given in the first part. The results of the numerical solution of basic cell problems for particulate-filled composites are represented and discussed in the second subsection. The results under discussion concern a classic homogenization problem for a binary compos

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Problems of elasticity theory for reinforced orthotropic plates,late. There are good reviews in, for example, [69,104,130,147,148,192]. The application of the asymptotic method based on the expansions using a dimensionless small parameter (relative shear rigidity) allow us to solve approximately a number of problems for an orthotropic strip reinforced using regu

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Reinforced shells, arrangement is taken into account. We consider the middle surface of the skin as the basic surface [143], so that the rib rigidity depends on its arrangement. The corresponding system of equilibrium equations for the stringer cylindrical shell has the form: ..

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Concluding remarks. Perspectives and open problems,ned in our book, we can notice skewed [41], riveted [67], honeycomb [75,169], reticulated [76], multispan [82,88] and multilink [112,131,132], folded [151], fissued [136], grid [175], laminated [3,59,63,64,160,161] structures. Homogenization asymptotic applications bear new ideas for mathematicians.

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n particular in the field of civil and mechanical engineerin.Optimal analysis is defined as an analysis that creates and uses sparse, well-structured and well-conditioned matrices. The focus is on efficient methods for eigensolution of matrices involved in static, dynamic and stability analyses of s