Thermal-mechanical coupling buckling analysis of porous functionally graded beams
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摘要: 采用经典欧拉梁理论和高阶三角剪切变形理论,研究了多孔功能梯度梁的热-力耦合屈曲行为。分析中考虑了材料物性与温度的相关性,采用含孔隙率的Voight混合模型描述了多孔功能梯度的材料属性。利用迭代算法求解结构在均匀、线性和非线性温升(考虑热传导效应)下的热-力耦合屈曲临界温度,讨论了材料非均匀参数、孔隙率和长细比等参数对屈曲临界温度的影响。ABAQUS数值模拟结果和文献对比结果验证了理论的可靠性,同时表明高阶剪切变形理论较经典欧拉梁理论精确。结果表明,功能梯度材料梁的热屈曲分析必须考虑物性与温度的相关性,否则可能高估热屈曲临界温度10%~30%;随着孔隙率增大,材料的等效弹性模量减少,即结构刚度有所弱化,但屈曲临界温度反而大大增高。Abstract: The thermal-mechanical coupling buckling behavior of simply supported porous functionally graded beams was studied by classical Euler beam theory and high-order sinusoidal shear deformation theory. The correlation between material properties and temperature was considered, and the material properties of the porous functional graded beams were described by modified Voight mixture rule with porosity. The iterative algorithm was used to solve the critical thermal-mechanical coupling buckling temperature of the porous functionally graded beams under uniform, linear and nonlinear temperature rise (considering the heat conduction effect). And the influence of the parameters such as gradient distribution index, porosity and slenderness ratio on the critical buckling temperature were discussed. By comparing the results of ABAQUS and the literature, the theory is proved to be reliable, and the high-order sinusoidal shear deformation theory can obtain more accurate results than the classical Euler beam theory. The results show that in the analysis of the thermal buckling of functionally graded materials, the temperature dependence of material properties must be taken into account. Otherwise, the critical buckling temperature may be over-estimated by 10%-30%. As the porosity of the material increases, the equivalent elastic modulus of the functionally graded material will decrease, namely the structural stiffness will be weakened, while the critical buckling temperature of the structure will increase greatly.
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Key words:
- functionally graded material /
- thermal buckling /
- porosity /
- iterative algorithm /
- coupling
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