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Influence of Material Stochasticity on Buckling Characteristics of Initially Imperfect Higher-Order Shear Deformable Gradient Plates
International Journal of Structural Stability and Dynamics ( IF 3.6 ) Pub Date : 2020-09-03 , DOI: 10.1142/s0219455421500048
Mohammed Shakir 1 , Mohammad Talha 1
Affiliation  

This paper demonstrates the influence of material stochasticity on buckling characteristics of higher-order shear deformable gradient plates with initial geometric imperfections. The gradient plates are assessed by smooth variation in the volume fraction of the constituents (i.e. ceramic and metal) as power-law distribution function in the thickness direction. The effective material properties are achieved by means of the Voigt model. Plate kinematic based on Reddy’s higher-order shear deformation theory (HSDT) associated with initial geometric imperfection in the transverse direction is employed. The governing differential equation is produced using a variational approach. The mean and standard deviation of the critical buckling load are evaluated using finite element method and a mean-centered first-order perturbation technique in order to highlight the variation in buckling response. Numerical results are compared both in deterministic and probabilistic frameworks along with convergence in support of efficacy and performance of the proposed model. Based on the results, it can be concluded that the combined influence of geometric imperfection and uncertain material properties prominently affect the buckling response of the gradient plates.

中文翻译:

材料随机性对初始不完美高阶剪切变形梯度板屈曲特性的影响

本文论证了材料随机性对具有初始几何缺陷的高阶剪切变形梯度板屈曲特性的影响。梯度板通过成分(即陶瓷和金属)的体积分数的平滑变化作为厚度方向的幂律分布函数来评估。有效的材料特性是通过 Voigt 模型实现的。采用基于 Reddy 的高阶剪切变形理论 (HSDT) 与横向初始几何缺陷相关的板运动学。控制微分方程是使用变分方法产生的。使用有限元方法和以均值为中心的一阶微扰技术评估临界屈曲载荷的平均值和标准偏差,以突出屈曲响应的变化。在确定性和概率性框架中比较数值结果以及支持所提出模型的功效和性能的收敛性。根据结果​​,可以得出结论,几何缺陷和不确定材料特性的综合影响显着影响梯度板的屈曲响应。
更新日期:2020-09-03
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