Bifurcation analysis and nonlinear elastic behavior of FG foam-filled double cylindrical microtubes via the modified couple stress theory in thermal environment
This paper presents a comprehensive investigation into the nonlinear wave propagation, vibration characteristics, and thermal postbuckling behavior of double cylindrical microtubes filled with functionally graded (FG) metal foam. The microtubes are composed of FG ceramic–metal materials, where the o...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-08-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016825008269 |
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| Summary: | This paper presents a comprehensive investigation into the nonlinear wave propagation, vibration characteristics, and thermal postbuckling behavior of double cylindrical microtubes filled with functionally graded (FG) metal foam. The microtubes are composed of FG ceramic–metal materials, where the outer and inner surfaces are ceramic-rich, while the interfaces adjoining the foam core are metal-rich. This gradient configuration is chosen to enhance the mechanical integrity and bonding strength between the tubes and the foam core. The system is modeled as being embedded in a linear elastic foundation and subjected to a temperature gradient varying across the thickness according to a power-law distribution. Three distinct porosity distribution patterns are considered to simulate different foam structures. According to Euler–Bernoulli beam theory and von-Kármán’s strain–displacement relations, the nonlinear governing equation of motion is presented. Two solution procedures are considered to solve the governing equation. The first relies on the Galerkin method to obtain the nonlinear vibration and postbuckling temperature curves, while a theorem containing existence conditions for periodic, super-periodic, solitary, and kink (anti-kink) solutions is derived through bifurcation analysis. The imposition of bifurcation constraints on the physical parameters enables the construction of new solutions to the governing equation, which are subsequently categorized as periodic, super-periodic, kink, or solitary wave solutions. The results obtained are validated by introducing some comparison examples. Furthermore, the influences of various parameters such as foam layer thickness, length-to-depth ratio, porosity factor, porosity distribution type, elastic foundation parameter, gradient index, and temperature on the results are all discussed in detail. |
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| ISSN: | 1110-0168 |