Two-dimensional Beltrami-Michell equations for a mixture of two linear elastic solids and some applications using the Airy stress function

Süleyman Muti; M. Salih Dokuz

doi:10.1016/j.ijsolstr.2015.01.022

Two-dimensional Beltrami-Michell equations for a mixture of two linear elastic solids and some applications using the Airy stress function

Süleyman Muti
, M. Salih Dokuz^*

^*Bu çalışma için yazışmadan sorumlu yazar

Makina Mühendisliği Bölümü

Istanbul Technical University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

7 Atıf (Scopus)

Özet

This paper presents the derivation of the Beltrami-Michell equations for plane stress and plane strain for a mixture of binary linear elastic solids. These equations are then used to solve the thin rotating circular disk and long rotating cylindrical rod problems by employing the Airy stress function, without neglecting the body forces of the constituents. The effect of the parameter ^α2 (the diffusive force coefficient) on the behavior of the mixture constituents is also investigated.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	140-146
Sayfa sayısı	7
Dergi	International Journal of Solids and Structures
Hacim	59
DOI'lar	https://doi.org/10.1016/j.ijsolstr.2015.01.022
Yayın durumu	Yayınlandı - 1 May 2015

Bibliyografik not

Publisher Copyright:
© 2015 Elsevier Ltd.

Belgeye Erişim

10.1016/j.ijsolstr.2015.01.022

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Two-dimensional Beltrami-Michell equations for a mixture of two linear elastic solids and some applications using the Airy stress function",

abstract = "This paper presents the derivation of the Beltrami-Michell equations for plane stress and plane strain for a mixture of binary linear elastic solids. These equations are then used to solve the thin rotating circular disk and long rotating cylindrical rod problems by employing the Airy stress function, without neglecting the body forces of the constituents. The effect of the parameter α2 (the diffusive force coefficient) on the behavior of the mixture constituents is also investigated.",

keywords = "Airy stress function, Beltrami-Michell equation, Elastic mixtures, Two-dimensional formulation",

author = "S{\"u}leyman Muti and \{Salih Dokuz\}, M.",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Ltd.",

year = "2015",

month = may,

day = "1",

doi = "10.1016/j.ijsolstr.2015.01.022",

language = "English",

volume = "59",

pages = "140--146",

journal = "International Journal of Solids and Structures",

issn = "0020-7683",

publisher = "Elsevier Ltd",

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T1 - Two-dimensional Beltrami-Michell equations for a mixture of two linear elastic solids and some applications using the Airy stress function

AU - Muti, Süleyman

AU - Salih Dokuz, M.

PY - 2015/5/1

Y1 - 2015/5/1

N2 - This paper presents the derivation of the Beltrami-Michell equations for plane stress and plane strain for a mixture of binary linear elastic solids. These equations are then used to solve the thin rotating circular disk and long rotating cylindrical rod problems by employing the Airy stress function, without neglecting the body forces of the constituents. The effect of the parameter α2 (the diffusive force coefficient) on the behavior of the mixture constituents is also investigated.

AB - This paper presents the derivation of the Beltrami-Michell equations for plane stress and plane strain for a mixture of binary linear elastic solids. These equations are then used to solve the thin rotating circular disk and long rotating cylindrical rod problems by employing the Airy stress function, without neglecting the body forces of the constituents. The effect of the parameter α2 (the diffusive force coefficient) on the behavior of the mixture constituents is also investigated.

KW - Airy stress function

KW - Beltrami-Michell equation

KW - Elastic mixtures

KW - Two-dimensional formulation

UR - https://www.scopus.com/pages/publications/84924975819

U2 - 10.1016/j.ijsolstr.2015.01.022

DO - 10.1016/j.ijsolstr.2015.01.022

M3 - Article

AN - SCOPUS:84924975819

SN - 0020-7683

VL - 59

SP - 140

EP - 146

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

ER -

Two-dimensional Beltrami-Michell equations for a mixture of two linear elastic solids and some applications using the Airy stress function

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap