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Journals / International Journal of Engineering and Applied Sciences / 2026 / Volume: 18 Issue: 3

A Laplace Transform Approach for the Size-Dependent Static Analysis of Laminated Composite Micro-Beams Using Modified Couple Stress Theory

Şeref D. Akbaş(BURSA TECHNICAL UNIVERSITY)0000-0001-5327-3406
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Publication Date
2026-10-20
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The results show that as the size effect parameter increases, the "size-dependent stiffening" mechanism stabilizes the structure and reduces displacements.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, static bending behavior of fiber-reinforced multilayered symmetric composite micro-beams is analytically investigated using modified couple Stress Theory.
📊
Key Findings & Data:The results show that as the size effect parameter increases, the "size-dependent stiffening" mechanism stabilizes the structure and reduces displacements.
💡
Conclusion & Impact:It is revealed that classical theory underestimates stiffness in microstructures, and that the outer layer fiber angles and the degree of material anisotropy play a decisive role in the severity of this size effect.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Laminated Composite · Micro Beams · Modified Coupled Stress Theory

Abstract

In this study, static bending behavior of fiber-reinforced multilayered symmetric composite micro-beams is analytically investigated using modified couple Stress Theory. The Laplace transform method is applied to solve the governing differential equations. The micro-scale stiffness coefficient is extended in terms to fully reflect layer-based anisotropy. Through comprehensive parametric analyses, the effects of size, stacking sequence, fiber orientation angle, and material anisotropy on static displacement are evaluated. The results show that as the size effect parameter increases, the "size-dependent stiffening" mechanism stabilizes the structure and reduces displacements. It is revealed that classical theory underestimates stiffness in microstructures, and that the outer layer fiber angles and the degree of material anisotropy play a decisive role in the severity of this size effect.

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Cite This Article

Akbaş, Ş. D. (2026). A Laplace Transform Approach for the Size-Dependent Static Analysis of Laminated Composite Micro-Beams Using Modified Couple Stress Theory. International Journal of Engineering and Applied Sciences, Volume: 18 Issue: 3. https://doi.org/10.24107/ijeas.1953256

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