article · Journal of Thermal Stresses
A mathematical formulation evaluates how laminated composite beams buckle under thermal stress. Using a hyperbolic refined shear deformation theory combined with the principle of minimum total potential energy, the approach calculates the conditions that trigger structural instability. Analytical equations are solved via Navier's method, yielding closed-form solutions for critical thermal buckling thresholds. The analysis examines how several factors influence structural stability, specifically temperature distribution profiles, the ratio of beam length to thickness, modulus ratios, and ratios of thermal expansion coefficients. These evaluations encompass isotropic, orthotropic, and layered composite configurations. The accuracy of the analytical model is verified through comparisons with benchmark findings established in existing literature, confirming its reliability for predicting structural responses under elevated temperatures.
Composite materials are frequently deployed in environments exposed to substantial heat, where thermal expansion risks sudden structural failure through buckling. Providing exact analytical tools helps structural engineers predict how materials behave under intense thermal loads, facilitating safer structural configurations without relying solely on computationally expensive simulations.
The abstract does not indicate a commercialisation pathway, representing early-stage theoretical and analytical research. The closed-form solutions could eventually inform structural analysis software tools used by design engineers working with composite materials, but the work remains at the level of mathematical formulation and verification against existing literature.
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In this article, thermal buckling of laminated composite beams, based on hyperbolic refined shear deformation theory, presented for the first time, is formulated using the principle of minimum total potential energy. Navier’s analytical solution is derived to analytically solve the differential equations and the thermal critical buckling is presented in closed-form solution. The effects of temperature distribution, length to thickness ratio, modulus ratio, and thermal expansion coefficient ratio on thermal buckling of isotropic, orthotropic and laminated composite beams are investigated. The accuracy of the numerical model is verified by comparison with the available results in the literature.
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DOI: 10.1080/01495739.2018.1461042
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