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Purpose <p>The study investigates the hygrothermal behavior of a semi infinite solid cylinder using a generalized memory dependent hygrothermal coupling model. The aim is to evaluate how memory effects and spatial nonlocality influence the thermal, moisture, and mechanical responses of composite materials.</p> Methods <p>Classical diffusion and heat transfer equations are modified by incorporating first order memory dependent derivatives (MDD) as proposed by Wang and Li. Spatial nonlocality is introduced through the Riesz space fractional derivative of order <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\beta\)</EquationSource> </InlineEquation> (<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(1&lt;\beta \le 2\)</EquationSource> </InlineEquation>) along the axial direction. Analytical solutions are derived using Laplace, finite Hankel, and Fourier sine transforms, followed by numerical inversion. Boundary conditions include prescribed time dependent loading at the lower surface, constant reference values at the curved surface, finiteness at the axis, and decay at infinity. Numerical analysis is performed for a graphite fiber reinforced epoxy composite (T300/5208).</p> Results <p>Parametric studies show that increasingmemory length ωamplifies hygrothermal effects, especially near the cylinder axis. Lowering fractional order βenhances spatial spreading and reduces peaktemperatures. Among kernel functions, the quadratic form yields the most attenuated and smoothest response, while the constant kernel approximates theclassical memory free limit. Stress and displacement fields are strongly affected by both memory and nonlocal parameters.</p> Conclusions <p>The results emphasize the necessity of incorporating memory dependent and nonlocal effects for accurate prediction of hygrothermoelastic responses in advanced composites. The proposed framework provides a robust analytical tool for assessing durability and performance of materials under transient hygrothermal environments.</p>

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Memory and Long-Range Interaction in a Two-Dimensional Hygrothermoelastic Semi-Infinite Solid Cylinder by Theory of Coupled-Uncoupled Heat and Moisture

  • 期刊论文

  • 发表日期：

    2026年6月30日

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  • Varsha Mendhe,
  • Navneet Kumar Lamba,
  • Ahmed E. Abouelregal

摘要

Purpose

The study investigates the hygrothermal behavior of a semi infinite solid cylinder using a generalized memory dependent hygrothermal coupling model. The aim is to evaluate how memory effects and spatial nonlocality influence the thermal, moisture, and mechanical responses of composite materials.

Methods

Classical diffusion and heat transfer equations are modified by incorporating first order memory dependent derivatives (MDD) as proposed by Wang and Li. Spatial nonlocality is introduced through the Riesz space fractional derivative of order \(\beta\) ( \(1<\beta \le 2\) ) along the axial direction. Analytical solutions are derived using Laplace, finite Hankel, and Fourier sine transforms, followed by numerical inversion. Boundary conditions include prescribed time dependent loading at the lower surface, constant reference values at the curved surface, finiteness at the axis, and decay at infinity. Numerical analysis is performed for a graphite fiber reinforced epoxy composite (T300/5208).

Results

Parametric studies show that increasingmemory length ωamplifies hygrothermal effects, especially near the cylinder axis. Lowering fractional order βenhances spatial spreading and reduces peaktemperatures. Among kernel functions, the quadratic form yields the most attenuated and smoothest response, while the constant kernel approximates theclassical memory free limit. Stress and displacement fields are strongly affected by both memory and nonlocal parameters.

Conclusions

The results emphasize the necessity of incorporating memory dependent and nonlocal effects for accurate prediction of hygrothermoelastic responses in advanced composites. The proposed framework provides a robust analytical tool for assessing durability and performance of materials under transient hygrothermal environments.