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^*

^*Corresponding author for this work

Department of Mechanical Engineering

Istanbul Technical University

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

6 Citations (Scopus)

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.

Original language	English
Pages (from-to)	140-146
Number of pages	7
Journal	International Journal of Solids and Structures
Volume	59
DOIs	https://doi.org/10.1016/j.ijsolstr.2015.01.022
Publication status	Published - 1 May 2015

Bibliographical note

Publisher Copyright:
© 2015 Elsevier Ltd.

Keywords

Airy stress function
Beltrami-Michell equation
Elastic mixtures
Two-dimensional formulation

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10.1016/j.ijsolstr.2015.01.022

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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.",

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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

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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

Abstract

Bibliographical note

Keywords

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