利用三角形单元与基于单元的平滑离散剪切间隙方法分析功能梯度材料板
Analysis of functionally graded material plates using triangular elements with cell-based smoothed discrete shear gap method
AI总结：
本文采用基于单元的平滑有限元方法与离散剪切间隙技术，研究功能梯度材料板的静力弯曲、自由振动、机械和热屈曲行为，通过Mori-Tanaka均质化方法计算有效性质，并验证了方法的准确性。
摘要：
本文采用基于单元的平滑有限元方法与离散剪切间隙技术，研究功能梯度材料板的静力弯曲、自由振动、机械和热屈曲行为。板的运动学基于一阶剪切变形理论，通过离散剪切间隙方法抑制剪切锁定。剪切修正因子通过能量等价原理评估。材料属性假设为温度依赖且仅在厚度方向上梯度变化。有效性质通过Mori-Tanaka均质化方法计算。本文的方法准确性通过现有解进行验证。系统参数研究探讨了梯度指数、板长宽比、板的斜率和边界条件对FGM板全局响应的影响。还研究了中心位置圆形缺口对全局响应的影响。
英文摘要：
In this paper, a cell based smoothed finite element method with discrete shear gap technique is employed to study the static bending, free vibration, mechanical and thermal buckling behaviour of functionally graded material (FGM) plates. The plate kinematics is based on the first order shear deformation theory and the shear locking is suppressed by a discrete shear gap method. The shear correction factors are evaluated by employing the energy equivalence principle. The material property is assumed to be temperature dependent and graded only in the thickness direction. The effective properties are computed by using the Mori-Tanaka homogenization method. The accuracy of the present formulation is validated against available solutions. A systematic parametric study is carried out to examine the influence the gradient index, the plate aspect ratio, skewness of the plate and the boundary conditions on the global response of the FGM plates. The effect of a centrally located circular cutout on the global response is also studied.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
