摘要
研究了静水压力对粘弹性功能梯度材料与结构的力学性能的影响。基于粘弹性材料Boltzman-na积分型本构关系式,推导了静水压力作用下粘弹性功能梯度材料的本构关系,并假设其蠕变模量在结构厚度方向上连续变化,组分材料的体积分数呈幂律分布;在此基础上,研究了静水压力引起的粘弹性功能梯度结构横截面材料属性分布、厚度、刚度及功能梯度结构弯曲、屈曲和振动特性的变化,给出了恒定静水压力作用下,不同体积分数指数的粘弹性功能梯度结构厚度与刚度随时间变化的曲线。计算结果表明,在静水压力作用下,粘弹性功能梯度结构的厚度和刚度都发生了变化,并最终导致其弯曲、屈曲和振动性能都发生了较大的变化。
The effect of hydrostatic pressure on mechanical properties of viscoelastic functionally graded materials and structures is studies in this paper. The constitutive relation of the viscoelastic functionally graded materials under hydrostatic pressure is given based on the viscoelastic materials＇ Boltzmanna-integral constitutive relations. It is assumed in analysis that the creep compliance of the functionally graded structures vary continuously through the thickness and obey a power law distribution of the volume fraction of the constituents. Then, the variation of properties distributiion, thickness and bending rigidity of viscoelastic functionally graded structures arising from hydrostatic pressure is researched based on the foregoing work, as well as the bending, buckling and vibration behaviors. The curve of the variation of thickness and bending rigidity according to time is presented for viscoelastic functionally graded structures under constant hydrostatic pressure with different volume fraction exponent indexs. It is shown through the numerical examples that, the thickness and bending rigidity of viscoelastic functionally graded structures under hydrostatic pressure is changed largely, which finally leads to the obvious variation of their bending, buckling and vibration behaviors.
出处
《功能材料》
EI
CAS
CSCD
北大核心
2010年第A03期445-448,451,共5页
Journal of Functional Materials
基金
国家自然科学基金资助项目(50979110)
关键词
功能梯度材料
功能梯度结构
静水压力
粘弹性
蠕变
functionally graded materials
functionally graded structures
hydrostatic pressure
viscoelasticity
creep
