Geometrically nonlinear analysis of functionally graded plates using the element-free kp-Ritz method
Geometrically nonlinear analysis of functionally graded plates using the element-free kp-Ritz method
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DOI：
10.1016/j.cma.2009.04.005
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发表时间：
2009-07
影响因子：
7.2
通讯作者：
X. Zhao;K. Liew
中科院分区：
文献类型：
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作者：
X. Zhao;K. Liew
采用无网格kp-Ritz方法研究了功能梯度陶瓷-金属板在机械和热载荷作用下的非线性响应。非线性公式是基于一阶剪切变形板理论和von Kármán应变，它处理小应变和适度的旋转。FGPs的材料性能被假定为根据组分的体积分数的幂律分布通过厚度方向被分级。位移场的近似表示在一组无网格核粒子函数。板的弯曲刚度使用稳定的协调节点积分法进行评估，膜和剪切刚度使用直接节点积分计算，以消除剪切锁定。研究了FGPs在热载荷和机械载荷作用下的挠度和轴向应力的非线性行为，考察了体积分数指数、边界条件和材料性质对FGPs非线性响应的影响。
The nonlinear response of functionally graded ceramic–metal plates (FGPs) under mechanical and thermal loads is investigated using the mesh-free kp-Ritz method. The nonlinear formulation is based on the first-order shear deformation plate theory and the von Kármán strains, which deal with small strains and moderate rotations. The material properties of FGPs are assumed to be graded through the thickness direction according to a power law distribution of the volume fraction of the constituents. The approximation of the displacement field is expressed in terms of a set of mesh-free kernel particle functions. The bending stiffness of the plates is evaluated using a stabilized conforming nodal integration method, and the membrane and shear stiffnesses are computed using direct nodal integration to eliminate shear locking. The nonlinear behavior of the deflection and axial stress is studied for FGPs under thermal and mechanical loading, and the influences of the volume fraction exponent, boundary condition, and material properties on the nonlinear response of FGPs are examined.