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Structural Engineering and Mechanics Volume 93, Number 4, February25 2025 , pages 303-316 DOI: https://doi.org/10.12989/sem.2025.93.4.303 |
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Exploring the nonlinear load-deflection response of functionally graded porous cylindrical panels under thermal environment: An Isogeometric analysis approach |
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Sajjad Etehadi and Alireza Shaterzadeh
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| Abstract | ||
| The quest for industrial and medical structures that combine lightweight with maximum resistance to applied forces has led to the emergence of Functionally Graded Porous (FGP) panels as a novel solution. These panels, capable of tailoring their mechanical properties along a gradient, offer the potential for optimized mechanical performance. This optimization is particularly crucial in applications such as aerospace thermal protection systems, biomedical implants, and automotive structural components where precise control of material properties is essential. However, accurately analyzing their post-buckling behavior, due to the complexities of geometry and material heterogeneity, remains a challenge. The IGA framework advances existing methods through exact geometric representation capabilities, superior handling of material heterogeneity, enhanced thermal-mechanical coupling analysis, and improved solution stability for nonlinear responses. Isogeometric Analysis (IGA), with its unparalleled capabilities in precise geometry representation and mechanical behavior analysis, has been posited as a powerful computational approach in this domain. In this paper, an IGA framework utilizing Kirchhoff-Love theory and NURBS splines is presented for the precise analysis of FGP panels. The NURBS-based approach eliminates geometric approximation errors inherent in traditional polynomial-based elements, while providing C1-continuous representation across element boundaries-crucial for accurate strain field modeling in FGP materials. Special attention is given to porosity models Poro-I and Poro-II (where Poro-I features uniform distribution throughout thickness for conventional manufacturing processes, while Poro-II implements quadratic variation maximized at mid-surface for optimal weight-to-strength ratios) to examine the influence of porosity distribution on post-buckling behavior. The arc-length method, a robust numerical technique that controls both load and displacement increment simultaneously, is employed to trace the equilibrium path and identify snap-through and snap-back phenomena. This research, through a computational process, aims not only to enhance the precision of engineering analyses but also to improve the understanding of the impact of porosity and other design factors on post-buckling behavior. The framework's performance has been validated against established benchmark solutions, demonstrating superior accuracy in both displacement and stress predictions, despite requiring higher computational resources. This enables engineers to propose more optimized designs for engineering applications that are stronger and lighter, yet more resistant to heavy loads. | ||
| Key Words | ||
| arclength method; Functionally Graded Porous (FGP) shells; Isogeometric Analysis (IGA); Nonlinear Kirchhoff-Love theory; NURBS splines; post-buckling; snap instability | ||
| Address | ||
| Sajjad Etehadi and Alireza Shaterzadeh: Mechanical Engineering Faculty, Shahrood University of Technology, Shahrood, Iran | ||