内蒙古工业大学学报(自然科学版)
內矇古工業大學學報(自然科學版)
내몽고공업대학학보(자연과학판)
JOURNAL OF INNER MONGOLIA UNIVERSITY OF TECHNOLOGY(NATURAL SCIENCE EDITION)
2013年
3期
173-178
,共6页
功能梯度材料%夹层%界面应力场%Hankel积分变换技术
功能梯度材料%夾層%界麵應力場%Hankel積分變換技術
공능제도재료%협층%계면응력장%Hankel적분변환기술
Functionally graded material%Interlayer%Interfacial stress field%Hankel integral transform technique
本文主要研究均匀涂层-功能梯度材料界面层-均匀半空间三层结构模型中均匀涂层与功能梯度材料层之间界面处的无摩擦轴对称接触问题的界面应力场。文中建立三层结构的理论计算模型,利用积分变换技术将数学模型转化为奇异积分方程,得到梯度材料夹层轴对称接触问题的表面位移解,再通过数值方法,得到梯度材料夹层的界面应力场。文中分析讨论了刚性圆柱形平压头作用下的均匀涂层与梯度材料夹层界面处的应力分布情况,探讨了剪切弹性模量比值、接触半径对界面处正应力、剪切应力分布的影响。研究表明,剪切弹性模量比值对界面处应力均产生重要的影响,随着剪切弹性模量比值的递增,界面层正应力呈递减趋势,而界面层剪切应力呈递增趋势,且接触半径的不同,也会改变影响的幅度。调整剪切弹性模量,是实现抑制裂纹萌生的一种有效途径。此外,作者主要从事新型功能材料接触力学的研究工作。
本文主要研究均勻塗層-功能梯度材料界麵層-均勻半空間三層結構模型中均勻塗層與功能梯度材料層之間界麵處的無摩抆軸對稱接觸問題的界麵應力場。文中建立三層結構的理論計算模型,利用積分變換技術將數學模型轉化為奇異積分方程,得到梯度材料夾層軸對稱接觸問題的錶麵位移解,再通過數值方法,得到梯度材料夾層的界麵應力場。文中分析討論瞭剛性圓柱形平壓頭作用下的均勻塗層與梯度材料夾層界麵處的應力分佈情況,探討瞭剪切彈性模量比值、接觸半徑對界麵處正應力、剪切應力分佈的影響。研究錶明,剪切彈性模量比值對界麵處應力均產生重要的影響,隨著剪切彈性模量比值的遞增,界麵層正應力呈遞減趨勢,而界麵層剪切應力呈遞增趨勢,且接觸半徑的不同,也會改變影響的幅度。調整剪切彈性模量,是實現抑製裂紋萌生的一種有效途徑。此外,作者主要從事新型功能材料接觸力學的研究工作。
본문주요연구균균도층-공능제도재료계면층-균균반공간삼층결구모형중균균도층여공능제도재료층지간계면처적무마찰축대칭접촉문제적계면응력장。문중건립삼층결구적이론계산모형,이용적분변환기술장수학모형전화위기이적분방정,득도제도재료협층축대칭접촉문제적표면위이해,재통과수치방법,득도제도재료협층적계면응력장。문중분석토론료강성원주형평압두작용하적균균도층여제도재료협층계면처적응력분포정황,탐토료전절탄성모량비치、접촉반경대계면처정응력、전절응력분포적영향。연구표명,전절탄성모량비치대계면처응력균산생중요적영향,수착전절탄성모량비치적체증,계면층정응력정체감추세,이계면층전절응력정체증추세,차접촉반경적불동,야회개변영향적폭도。조정전절탄성모량,시실현억제렬문맹생적일충유효도경。차외,작자주요종사신형공능재료접촉역학적연구공작。
The paper investigates the three -dimensional frictionless ax -symmetric contact problem of a functionally graded material under a rigid cylindrical indenter . The interfacial stress field between a homogeneous coating and a functionally graded layer are considered .A mathematical model is constructed to simulate the three layer structure which consisting of a homogeneous coating , a graded interlayer and a homogeneous half space .By using integral transform technique , the contact problem model is converted to a singular integral equation , which can obtain the surface displacement field; finally, by utilizing numerical methods, which can gain the interfacial stress field of the graded material interlayer structure .The paper analyzes the effect of the shear modulus ratio and contact radius on the interfacial stress field under a rigid cylindrical indenter .It is concluded that the shear modulus ratio and contact radius play an important part in the distribution of the interfacial stress .With the shear modulus ratio increasing , the interfacial normal stress shows a decreasing trend , but the interfacial shear stress shows an increasing trend .And the contact radius also changes the amplitude , which provides a new way to inhibit the contact damage and fracture .In addition, the authors are principally engaged in the research of the new functional materials contact mechanics .