The elastic polarization matrix for a junction of isotropic half-strips

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The elastic polarization matrix for a junction of isotropic half-strips. / Nazarov, S. A. ; Slutskii, A. S. .

In: Journal of Mathematical Sciences, Vol. 239, No. 3, 2019, p. 349-362.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{8219c988a52b43789b136ff972e7d8b5,

title = "The elastic polarization matrix for a junction of isotropic half-strips",

abstract = "We introduce an elastic polarization matrix M for a junction Ξ of isotropic homogeneous half-strips Π 1 ,.. ,Π J . Thematrix M is used to describe the boundary layer phenomenon near nodes of elastic lattices and is formed by coefficients in expansions at infinity of special solutions to the problem of elasticity theory for the body Ξ. It is shown that the 3J × 3J-matrix M is symmetric and degenerate on a subspace of dimension three, but, under the “correct” choice of local coordinates in the half-strips, it corrsponds to a positive definite operator on the orthogonal complement of this subspace. ",

author = "Nazarov, {S. A.} and Slutskii, {A. S.}",

note = "Nazarov, S.A., Slutskii, A.S. The Elastic Polarization Matrix for a Junction of Isotropic Half-Strips. J Math Sci 239, 349–362 (2019). https://doi.org/10.1007/s10958-019-04310-0",

year = "2019",

doi = "10.1007/s10958-019-04310-0",

language = "English",

volume = "239",

pages = "349--362",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "3",

}

RIS

TY - JOUR

T1 - The elastic polarization matrix for a junction of isotropic half-strips

AU - Nazarov, S. A.

AU - Slutskii, A. S.

N1 - Nazarov, S.A., Slutskii, A.S. The Elastic Polarization Matrix for a Junction of Isotropic Half-Strips. J Math Sci 239, 349–362 (2019). https://doi.org/10.1007/s10958-019-04310-0

PY - 2019

Y1 - 2019

N2 - We introduce an elastic polarization matrix M for a junction Ξ of isotropic homogeneous half-strips Π 1 ,.. ,Π J . Thematrix M is used to describe the boundary layer phenomenon near nodes of elastic lattices and is formed by coefficients in expansions at infinity of special solutions to the problem of elasticity theory for the body Ξ. It is shown that the 3J × 3J-matrix M is symmetric and degenerate on a subspace of dimension three, but, under the “correct” choice of local coordinates in the half-strips, it corrsponds to a positive definite operator on the orthogonal complement of this subspace.

AB - We introduce an elastic polarization matrix M for a junction Ξ of isotropic homogeneous half-strips Π 1 ,.. ,Π J . Thematrix M is used to describe the boundary layer phenomenon near nodes of elastic lattices and is formed by coefficients in expansions at infinity of special solutions to the problem of elasticity theory for the body Ξ. It is shown that the 3J × 3J-matrix M is symmetric and degenerate on a subspace of dimension three, but, under the “correct” choice of local coordinates in the half-strips, it corrsponds to a positive definite operator on the orthogonal complement of this subspace.

UR - http://www.scopus.com/inward/record.url?scp=85065391430&partnerID=8YFLogxK

U2 - 10.1007/s10958-019-04310-0

DO - 10.1007/s10958-019-04310-0

M3 - Article

VL - 239

SP - 349

EP - 362

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 40974903