Standard

On the state of stress and strain of layered plates of non-symmetric construction. / Zorin, I. S.; Romashev, Yu A.

In: Journal of Applied Mathematics and Mechanics, Vol. 52, No. 1, 01.01.1988, p. 75-85.

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

Harvard

Zorin, IS & Romashev, YA 1988, 'On the state of stress and strain of layered plates of non-symmetric construction', Journal of Applied Mathematics and Mechanics, vol. 52, no. 1, pp. 75-85. https://doi.org/10.1016/0021-8928(88)90063-9

APA

Zorin, I. S., & Romashev, Y. A. (1988). On the state of stress and strain of layered plates of non-symmetric construction. Journal of Applied Mathematics and Mechanics, 52(1), 75-85. https://doi.org/10.1016/0021-8928(88)90063-9

Vancouver

Zorin IS, Romashev YA. On the state of stress and strain of layered plates of non-symmetric construction. Journal of Applied Mathematics and Mechanics. 1988 Jan 1;52(1):75-85. https://doi.org/10.1016/0021-8928(88)90063-9

Author

Zorin, I. S. ; Romashev, Yu A. / On the state of stress and strain of layered plates of non-symmetric construction. In: Journal of Applied Mathematics and Mechanics. 1988 ; Vol. 52, No. 1. pp. 75-85.

BibTeX

@article{b61035e5cef04db4bfc8e5b018b41772,
title = "On the state of stress and strain of layered plates of non-symmetric construction",
abstract = "An asymptotic analysis is performed of the elasticity theory problem of the deformation of a thin multilayer anisotropic plate in a three-dimensional formulation without assumption regarding the regularity of the plate construction and the nature of the layer or packet deformation as a whole. Results /1/ are used of an investigation of the solutions of elliptic boundary value problems in thin domains. The relative packet height is the small parameter h. A system of equations is obtained for the limit problem (as h→0), effective plate stiffness characteristics are found, and specific examples of their analysis are presented. Asymptotic methods of constructing the solutions of problems of the theory of thin plates are developed in /1-8/; isotropic multilayer plates and anisotropic two-layer beams were studied /9-11/ by the method described in /3/. An important feature of anisotropic laminar plates of non-symmetric construction is that the state of stress in any section parallel to the middle surface is characterized during their deformation by interaction of the bending-torsion and tension-shear states. The limit bending equations for a thin plate of complex structure are derived by using the Kirchhoff hypothesis in /5, 12/. {\textcopyright} 1989.",
author = "Zorin, {I. S.} and Romashev, {Yu A.}",
year = "1988",
month = jan,
day = "1",
doi = "10.1016/0021-8928(88)90063-9",
language = "English",
volume = "52",
pages = "75--85",
journal = "Journal of Applied Mathematics and Mechanics",
issn = "0021-8928",
publisher = "Elsevier",
number = "1",

}

RIS

TY - JOUR

T1 - On the state of stress and strain of layered plates of non-symmetric construction

AU - Zorin, I. S.

AU - Romashev, Yu A.

PY - 1988/1/1

Y1 - 1988/1/1

N2 - An asymptotic analysis is performed of the elasticity theory problem of the deformation of a thin multilayer anisotropic plate in a three-dimensional formulation without assumption regarding the regularity of the plate construction and the nature of the layer or packet deformation as a whole. Results /1/ are used of an investigation of the solutions of elliptic boundary value problems in thin domains. The relative packet height is the small parameter h. A system of equations is obtained for the limit problem (as h→0), effective plate stiffness characteristics are found, and specific examples of their analysis are presented. Asymptotic methods of constructing the solutions of problems of the theory of thin plates are developed in /1-8/; isotropic multilayer plates and anisotropic two-layer beams were studied /9-11/ by the method described in /3/. An important feature of anisotropic laminar plates of non-symmetric construction is that the state of stress in any section parallel to the middle surface is characterized during their deformation by interaction of the bending-torsion and tension-shear states. The limit bending equations for a thin plate of complex structure are derived by using the Kirchhoff hypothesis in /5, 12/. © 1989.

AB - An asymptotic analysis is performed of the elasticity theory problem of the deformation of a thin multilayer anisotropic plate in a three-dimensional formulation without assumption regarding the regularity of the plate construction and the nature of the layer or packet deformation as a whole. Results /1/ are used of an investigation of the solutions of elliptic boundary value problems in thin domains. The relative packet height is the small parameter h. A system of equations is obtained for the limit problem (as h→0), effective plate stiffness characteristics are found, and specific examples of their analysis are presented. Asymptotic methods of constructing the solutions of problems of the theory of thin plates are developed in /1-8/; isotropic multilayer plates and anisotropic two-layer beams were studied /9-11/ by the method described in /3/. An important feature of anisotropic laminar plates of non-symmetric construction is that the state of stress in any section parallel to the middle surface is characterized during their deformation by interaction of the bending-torsion and tension-shear states. The limit bending equations for a thin plate of complex structure are derived by using the Kirchhoff hypothesis in /5, 12/. © 1989.

UR - http://www.scopus.com/inward/record.url?scp=45549117652&partnerID=8YFLogxK

U2 - 10.1016/0021-8928(88)90063-9

DO - 10.1016/0021-8928(88)90063-9

M3 - Article

AN - SCOPUS:45549117652

VL - 52

SP - 75

EP - 85

JO - Journal of Applied Mathematics and Mechanics

JF - Journal of Applied Mathematics and Mechanics

SN - 0021-8928

IS - 1

ER -

ID: 102552530