Nguyen Hoang Nam, Hong Tran Thi, Vinh Pham Van, Quang Nguyen Dinh, Thom Do Van
Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam.
Center of Excellence for Automation and Precision Mechanical Engineering, Nguyen Tat Thanh University, Ho Chi Minh City 700000, Vietnam.
Materials (Basel). 2019 Jul 26;12(15):2385. doi: 10.3390/ma12152385.
A refined simple first-order shear deformation theory is developed to investigate the static bending and free vibration of advanced composite plates such as functionally graded plates. By introducing the new distribution shape function, the transverse shear strain and shear stress have a parabolic distribution across the thickness of the plates, and they equal zero at the surfaces of the plates. Hence, the new refined theory needs no shear correction factor. The Navier solution is applied to investigate the static bending and free vibration of simply supported advanced composite plates. The proposed theory shows an improvement in calculating the deflections and frequencies of advanced composite plates. The formulation and transformation of the present theory are as simple as the simple first-order shear deformation. The comparisons of deflection, axial stresses, transverse shear stresses, and frequencies of the plates obtained by the proposed theory with published results of different theories are carried out to show the efficiency and accuracy of the new theory. In addition, some discussions on the influence of various parameters such as the power-law index, the slenderness ratio, and the aspect ratio are carried out, which are useful for the design and testing of advanced composite structures.
发展了一种精确的简单一阶剪切变形理论，以研究功能梯度板等先进复合材料板的静态弯曲和自由振动。通过引入新的分布形状函数，横向剪应变和剪应力在板的厚度方向上呈抛物线分布，且在板的表面处为零。因此，新的精确理论不需要剪切修正因子。采用纳维叶解来研究简支先进复合材料板的静态弯曲和自由振动。所提出的理论在计算先进复合材料板的挠度和频率方面有改进。本理论的公式推导和变换与简单一阶剪切变形理论一样简单。将所提出理论得到的板的挠度、轴向应力、横向剪应力和频率与不同理论的已发表结果进行比较，以表明新理论的有效性和准确性。此外，还对幂律指数、长细比和长宽比等各种参数的影响进行了一些讨论，这对先进复合材料结构的设计和测试很有用。
