Averaging of the properties of hybrid fibrous composites

Gringauz, M. G.; Starikovskii, G. P.; Фильштинский, Л. А.; Kharchenko, A. M.; Шаповалов, Сергій Павлович; Shcherbakov, V. T.

doi:10.1007/bf00605304

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Integral Equations For Anti-plane Problems1

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2014

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“…Analogous formulae take place for (38) (37) solves the jump problem on the complex plane [24]. Consider now the jump problem for quasi-periodic functions.…”

Section: Integral Equations For Anti-plane Problemsmentioning

confidence: 97%

Mathematical Models of Elastic and Piezoelectric Fields in Two-Dimensional Composites

Filshtinsky

Mityushev

2014

Mathematics Without Boundaries

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This paper is devoted to boundary value problems for harmonic and biharmonic equations which arise in modeling of elastic and piezoelectric fields in two-dimensional composites. All the problems are investigated by the method of complex potentials. The considered boundary value problems for analytic functions are reduced to integral equations. We discuss methods based on the integral equations for multiply connected domains and in the double periodic statement. Relations to the alternating scheme of Schwarz and to the method of perturbations are considered. Applications to calculation of the effective properties tensor are discussed. This paper also contains results published from 1964 in Russian and not known in English literature.

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“…Analogous formulae take place for (38) (37) solves the jump problem on the complex plane [24]. Consider now the jump problem for quasi-periodic functions.…”

Section: Integral Equations For Anti-plane Problemsmentioning

confidence: 97%

Mathematical Models of Elastic and Piezoelectric Fields in Two-Dimensional Composites

Filshtinsky

Mityushev

2014

Mathematics Without Boundaries

View full text Add to dashboard Cite

show abstract

Averaging of the properties of hybrid fibrous composites

Cited by 1 publication

References 1 publication

Mathematical Models of Elastic and Piezoelectric Fields in Two-Dimensional Composites

Mathematical Models of Elastic and Piezoelectric Fields in Two-Dimensional Composites

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