Generalized Timoshenko-Reissner models for beams and plates, strongly heterogeneous in the thickness direction

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Generalized Timoshenko-Reissner models for beams and plates, strongly heterogeneous in the thickness direction. / Tovstik, Petr E.; Tovstik, Tatiana Petrovna.

In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, Vol. 97, No. 3, 01.03.2017, p. 296-308.

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

Author

Tovstik, Petr E. ; Tovstik, Tatiana Petrovna. / Generalized Timoshenko-Reissner models for beams and plates, strongly heterogeneous in the thickness direction. In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 2017 ; Vol. 97, No. 3. pp. 296-308.

BibTeX

@article{2b13fbfffa6c44969f77da34db2222f3,

title = "Generalized Timoshenko-Reissner models for beams and plates, strongly heterogeneous in the thickness direction",

abstract = "The paper is concerned with a thin beam and a thin plate made of a transversally isotropic linearly elastic material heterogeneous in the thickness direction. The ordinary Kirchhoff–Love and Timoshenko–Reissner models are known to be unacceptable for a strongly heterogeneous material or for a multilayered material with large ratio between the Young moduli of layers. A generalized Timoshenko–Reissner model is proposed for bending and free vibrations of such beams/plates. A multilayered beam/plate is reduced to one-layer one with the equivalent elastic parameters. The range of application of such a model is very wide.",

keywords = "asymptotic expansions, Beam, generalized Timoshenko-Reissner model, plate, strongly heterogeneous transversely isotropic material",

author = "Tovstik, {Petr E.} and Tovstik, {Tatiana Petrovna}",

year = "2017",

month = mar,

day = "1",

doi = "10.1002/zamm.201600052",

language = "English",

volume = "97",

pages = "296--308",

journal = "ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik",

issn = "0044-2267",

publisher = "Wiley-Blackwell",

number = "3",

}

RIS

TY - JOUR

T1 - Generalized Timoshenko-Reissner models for beams and plates, strongly heterogeneous in the thickness direction

AU - Tovstik, Petr E.

AU - Tovstik, Tatiana Petrovna

PY - 2017/3/1

Y1 - 2017/3/1

N2 - The paper is concerned with a thin beam and a thin plate made of a transversally isotropic linearly elastic material heterogeneous in the thickness direction. The ordinary Kirchhoff–Love and Timoshenko–Reissner models are known to be unacceptable for a strongly heterogeneous material or for a multilayered material with large ratio between the Young moduli of layers. A generalized Timoshenko–Reissner model is proposed for bending and free vibrations of such beams/plates. A multilayered beam/plate is reduced to one-layer one with the equivalent elastic parameters. The range of application of such a model is very wide.

AB - The paper is concerned with a thin beam and a thin plate made of a transversally isotropic linearly elastic material heterogeneous in the thickness direction. The ordinary Kirchhoff–Love and Timoshenko–Reissner models are known to be unacceptable for a strongly heterogeneous material or for a multilayered material with large ratio between the Young moduli of layers. A generalized Timoshenko–Reissner model is proposed for bending and free vibrations of such beams/plates. A multilayered beam/plate is reduced to one-layer one with the equivalent elastic parameters. The range of application of such a model is very wide.

KW - asymptotic expansions

KW - Beam

KW - generalized Timoshenko-Reissner model

KW - plate

KW - strongly heterogeneous transversely isotropic material

UR - http://www.scopus.com/inward/record.url?scp=84995450965&partnerID=8YFLogxK

U2 - 10.1002/zamm.201600052

DO - 10.1002/zamm.201600052

M3 - Article

AN - SCOPUS:84995450965

VL - 97

SP - 296

EP - 308

JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

SN - 0044-2267

IS - 3

ER -

ID: 9282019