Assessment Of Models And Methods For Pressurized Spherical Composites

Keywords

analytical modeling; elasticity; mechanical properties; numerical analysis; Spherical composites

Abstract

The elastic properties of a spherical heterogeneous structure with isotropic periodic components is analyzed and a methodology is developed using the two-scale asymptotic homogenization method (AHM) and spherical assemblage model (SAM). The effective coefficients are obtained via AHM for two different composites: (a) composite with perfect contact between two layers distributed periodically along the radial axis; and (b) considering a thin elastic interphase between the layers (intermediate layer) distributed periodically along the radial axis under perfect contact. As a result, the derived overall properties via AHM for homogeneous spherical structure have transversely isotropic behavior. Consequently, the homogenized problem is solved. Using SAM, the analytical exact solutions for appropriate boundary value problems are provided for different number of layers for the cases (a) and (b) in the spherical composite. The numerical results for the displacements, radial and circumferential stresses for both methods are compared considering a spherical composite material loaded by an inside pressure with the two cases of contact conditions between the layers (a) and (b).

Publication Date

2-1-2018

Publication Title

Mathematics and Mechanics of Solids

Volume

23

Issue

2

Number of Pages

136-147

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1177/1081286516673233

Socpus ID

85020024256 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85020024256

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