| 功能梯度材料涂层半空间的轴对称光滑接触问题 |
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| 引用本文： | 刘铁军,汪越胜.功能梯度材料涂层半空间的轴对称光滑接触问题[J].固体力学学报,2007,28(1):49-54. |
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| 作者姓名： | 刘铁军 汪越胜 |
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| 作者单位： | 北京交通大学土木工程学院工程力学所,北京,100044 |
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| 基金项目： | 国家自然科学基金(10572019)，高校博士点专项基金(20020004005)资助 |
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| 摘 要： | 求解了功能梯度材料涂层半空间的轴对称光滑接触问题,其中梯度层剪切模量按照线性变化,利用Hankel积分变换方法求解微分方程,将问题化为具有Cauchy型奇异核的积分方程.数值方法求解表明:功能梯度材料涂层半空间在刚性柱形压头和球形压头作用下,接触表面分布应力,接触半径以及最大压痕受材料梯度效应的影响较大.
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| 关 键 词： | 功能梯度材料(FGM) 轴对称接触 Hankel变换 奇异积分方程 |
| 修稿时间： | 2006年4月6日 |
AXISYMMETRICIAL SMOOTH CONTACT PROBLEM OF A FUNCTIONALLY GRADED COATED HALF-SPACE |
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| Liu Tiejun,Wang Yuesheng.AXISYMMETRICIAL SMOOTH CONTACT PROBLEM OF A FUNCTIONALLY GRADED COATED HALF-SPACE[J].Acta Mechnica Solida Sinica,2007,28(1):49-54. |
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| Authors: | Liu Tiejun Wang Yuesheng |
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| Abstract: | This paper studies the axisymmetric smooth contact problem of a functionally graded coated half-space,where the shear modulus of the functionally graded coating varies linearly.By applying the Hankel transform to the differential equation,the problem is reduced to a Cauchy-type singular integral equation.The numerical results show that the influences of gradient parameter on the contact stress,contact area and maximum indentation depth are stronger when a functionally graded coated half-space is indented by a rigid flat circular indenter or a rigid spherical indenter. |
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| Keywords: | functionally graded materials axisymmetrical contact problem Hankel transform singular integral equation |
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