Estimation of shear correction factors for laminated composite plates using variational asymptotic method

This work presents a novel method for efficiently and accurately computing shear correction factors (SCFs) in laminated composite plates. The present approach utilizes the variational asymptotic method (VAM) to derive a reduced-order plate model, providing analytical expressions for transverse shear strains in terms of 2D variables (functions of in-plane coordinates only). By matching the transverse shear forces and strain energies from VAM to those from the classical first-order shear deformation theory (FSDT) with SCFs, we extract the SCFs without cumbersome numerical evaluations. This method offers several advantages over traditional techniques: it is asymptotically accurate, computationally efficient, and provides insights into the influence of individual lamina thickness and lay-up sequence on SCFs. The presented approach can be extended to analyze the impact of other parameters such as boundary conditions and loading opening a scope for future investigations.

本研究提出了一种可高效、精准计算层合复合材料板剪切修正因子（shear correction factors, SCFs）的新型方法。该方法借助变分渐近法（variational asymptotic method, VAM）推导降阶板模型，得到仅以面内坐标为变量的横向剪切应变解析表达式。通过将变分渐近法所得的横向剪切力与应变能，与引入剪切修正因子的经典一阶剪切变形理论（classical first-order shear deformation theory, FSDT）的对应结果进行匹配，本方法无需繁琐的数值计算即可提取得到剪切修正因子。相较于传统技术，该方法具有多项显著优势：结果具备渐近精度、计算效率高，且可揭示各单层厚度与铺层顺序对剪切修正因子的影响规律。所提出的方法还可进一步拓展，用于分析边界条件、载荷等其他参数的影响，为后续研究开辟了广阔方向。