A finite element formulation based on sinusoidal shear deformation theory is established to investigate linear and nonlinear bending analysis of functionally graded porous (FGP) beams. Three different porosity distribution patterns are considered along the thickness of the beams. Nonlinear Von-Kármán strains are assumed to study the nonlinear behavior of FGP beams. The minimum total potential energy principle is applied to derive the governing equations and the equations are solved numerically by a finite element model. Parametric studies are performed for bending analysis of FGP beams, where the effects of porosity distribution pattern, porosity coefficient, length-to-height ratio and distributed load type are examined.

建立基于正弦剪切变形理论的有限元公式来研究功能梯度多孔（FGP）梁的线性和非线性弯曲分析。沿着梁的厚度考虑了三种不同的孔隙率分布模式。假设采用非线性 Von-Kármán 应变来研究 FGP 梁的非线性行为。应用最小总势能原理推导控制方程，并通过有限元模型对方程进行数值求解。对 FGP 梁的弯曲分析进行参数化研究，检查孔隙率分布模式、孔隙率系数、长高比和分布载荷类型的影响。