With the development of advanced manufacturing technologies, the importance of functionally graded materials is growing as they are advantageous over widely used traditional composites. In this paper, we present a novel peridynamic model for higher order functional graded plates for various thicknesses. Moreover, the formulation eliminates the usage of shear correction factors. Euler–Lagrange equations and Taylor’s expansion are utilised to derive the governing equations. The capability of the developed peridynamic model is demonstrated by considering several benchmark problems. In these benchmark cases simply supported, clamped and mixed boundary conditions are also tested. The peridynamic results are also verified by their finite element analysis counterparts. According to the comparison, peridynamic and finite element analysis results agree very well with each other.

随着先进制造技术的发展，功能梯度材料的重要性日益提高，因为它们优于广泛使用的传统复合材料。在本文中，我们为各种厚度的高阶功能梯度板提供了一种新颖的绕动力学模型。而且，该公式消除了对剪切校正因子的使用。欧拉-拉格朗日方程和泰勒展开被用于导出控制方程。通过考虑几个基准问题证明了开发的动力学模型的能力。在这些基准情况下，还测试了固定边界条件和混合边界条件。周边动力学结果也通过其有限元分析对应物进行了验证。根据比较，