Analytical elastic models of finite cylindrical and truncated spherical inclusions

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:143

Article

Kolesnikova, A. L.^1,2  Gutkin, M. Yu.^1,2,3  Romanov, A. E.^1,4 

[1] ITMO Univ, 49 Kronverksky Pr, St Petersburg 197101, Russia

[2] Russian Acad Sci, Inst Problems Mech Engn, VO, 61 Bolshoj Pr, St Petersburg 199178, Russia

[3] Peter Great St Petersburg Polytech Univ, Dept Mech & Control Proc, Polytech Skaya 29, St Petersburg 195251, Russia

[4] Russian Acad Sci, Ioffe Inst, 26 Politekhnicheskaya, St Petersburg 194021, Russia

关键词: Analytical solutions;    Axisymmetric;    Elasticity;    Inclusions;    Finite cylinder;    Truncated sphere;    Janus particles;    Lipschitz-Hankel integrals;    Lur'e series;   

DOI  :  10.1016/j.ijsolstr.2018.02.032

来源: Elsevier

【 摘 要 】

We develop a new technique for finding elastic fields for axisymmetnc dilatational inclusions (Dls) in the forms of finite cylinder and truncated sphere, when the Dls and surrounding infinite matrix have the same isotropic elastic moduli. Dls are built of circular dilatational disks distributed continuously along the axis of symmetry. Total displacements of Dls are found by integration of the displacements of a dilatational disk. Then, using the linear elasticity equations, the elastic fields of cylindrical and truncated spherical Dls are derived and written via compact easy-to-read and easy-to-calculate Lipschitz-Hankel integrals and Lur'e series, correspondingly. The independence of the strain energy and the elastic dilatation on the DI shape is confirmed. The effect of the aspect ratio and the shape on the elastic fields of the Dls is analyzed The elastic model of Janus particle and other possible useful applications of solved problems are discussed. (C) 2018 Elsevier Ltd. All rights reserved.

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