任意梯度分布功能梯度圆环的热弹性分析

彭旭龙; 李显方

doi:10.3879/j.issn.1000-0887.2009.10.001

任意梯度分布功能梯度圆环的热弹性分析

doi: 10.3879/j.issn.1000-0887.2009.10.001

中南大学土木建筑学院力学与传感技术研究所,长沙 410083

基金项目: 国家自然科学基金资助项目(10672189)

详细信息

作者简介:
彭旭龙(1983- ),女,湖南湘乡人,博士生;李显方(1964- ),男,湖南永州人,教授,博士生导师(联系人.Tel:+86-731-88877750;E-mail:xfli@mail.csu.edu.cn).

中图分类号: O343
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- 文章访问数: 1368
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- 被引次数: 0
出版历程
- 收稿日期: 2009-05-15
- 修回日期: 2009-08-02
- 刊出日期: 2009-10-15

Thermoelastic Analysis of a Functionally Graded Annulus With an Arbitrary Gradient

IMST, School of Civil Engineering and Architecture, Central South University, Changsha 410083, P. R. China

摘要

摘要: 对沿径向任意变化的材料参数的功能梯度圆环进行了热弹性分析A ·D2与以前关于该问题的分析不同，既不需要预先给定具体的梯度变化形式，也不需要对结构进行细分A ·D2给出一种新的有效解法将问题转换为求解Fredholm积分方程，从而通过Fredholm积分方程的解给出热应力和位移的分布情况A ·D2最后通过算例分析了内外表面受不同温度作用时，材料参数呈现梯度变化对圆环的应力和位移变化的影响，计算结果表明某些特定的材料梯度可有效缓解圆环内的热应力分布A ·D2该文得到的结果对功能梯度圆环在结构安全设计方面有重要的理论指导意义
- 功能梯度材料 /
- 热弹性分析 /
- 任意功能梯度 /
- 圆环
Abstract: A thermoelastic problem of a circular annulus made of functionally graded materials with an arbitrary gradient was investigated. Different from previous works, the analysis neither requires a special form of the gradient of material properties nor demands to partition the entire structure into a multilayered homogeneous structure. Instead, a new method for solving the thermoelastic problem of a functionally graded circular annulus by transforming it to a Fredholm integral equation was proposed. The distribution of thermal stresses and radial displacement could be obtained by the solution to the resulting equation. Finally, illustrative examples were given to show the effects of varying gradients on the thermal stresses and radial displacement for given temperature changes at the inner and outer surfaces. Obtained results indicate that the thermal stresses can be relaxed for specified gradients, which is of benefit to designing a nonhomogeneous annulus to maintain structural integrity.
- functionally graded materials /
- thermoelastic analysis /
- arbitrary gradient /
- circular annulus

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参考文献(19)

[1]	Noda N．Thermal stresses in functionally graded materials[J]．Journal of Thermal Stresses，1999，22(4)：477-512． doi: 10.1080/014957399280841
[2]	Obata Y，Noda N．Steady thermal stresses in a hollow circular cylinder and a hollow sphere of a functionally gradient material[J]．Journal of Thermal Stresses，1994，17(3)：471-487． doi: 10.1080/01495739408946273
[3]	Kim K S，Noda N．A Green’s function approach to the deflection of an FGM plate under transient thermal loading[J]．Archive of Applied Mechanics，2002，72(2/3)：127-137． doi: 10.1007/s00419-002-0172-6
[4]	Ootao Y，Tanigawa Y．Three-dimensional transient thermal stresses of functionally graded rectangular plate due to partial heating[J]．Journal of Thermal Stresses，1999，22(1)：35-55． doi: 10.1080/014957399281048
[5]	Ootao Y，Tanigawa Y．Transient thermoelastic problem of functionally graded thick strip due to nonuniform heat supply[J]．Composite Structures，2004，63(2)：139-146． doi: 10.1016/S0263-8223(03)00142-9
[6]	Tanigawa Y，Oka N，Akai T，et al．One-dimensional transient thermal stress problem for nonhomogeneous hollow circular cylinder and its optimization of material composition for thermal stress relaxation[J]．JSME International Journal．Series A，Solid Mechanics and Material Engineering，1997，40(2)：117-127．
[7]	Tanaka K，Tanaka Y，Watanabe H，et al．An improved solution to thermoelastic material design in functionally gradient materials：scheme to reduce thermal stresses[J]．Computer Methods in Applied Mechanics and Engineering，1993，109(3/4)：377-389． doi: 10.1016/0045-7825(93)90088-F
[8]	Tanaka K，Watanabe H，Sugano Y，et al．A multicriterial material tailoring of a hollow cylinder in functionally gradient materials：scheme to global reduction of thermoelastic stresses[J]. Computer Methods in Applied Mechanics and Engineering，1996，135(3)：369-380． doi: 10.1016/0045-7825(96)01014-6
[9]	Ravichandran K S．Thermal residual stresses in functionally graded material system[J]．Materials Science and Engineering A ，1995，201(1/2)：269-276〖ZK)〗． doi: 10.1016/0921-5093(95)09773-2
[10]	〖ZK(#〗Finot M，Suresh S，Bull M C，et al．Curvature changes during thermal cycling of a compositionally graded Ni-Al2O3 multi-layered material[J]．Material Science and Engineering A，1996，205(1/2)：59-71． doi: 10.1016/0921-5093(95)09892-5
[11]	Chiu C C．Residual stresses in ceramic coatings as determined from the curvature of a coated strip[J]．Material Science and Engineering A，1992，150(1)：139-148． doi: 10.1016/0921-5093(90)90017-W
[12]	Zimmerman R W，Lutz M P．Thermal stresses and thermal expansion in a uniformly heated functionally graded cylinder[J]．Journal of Thermal Stresses，1999，22(2)：177-188． doi: 10.1080/014957399280959
[13]	Jabbari M，Sohrabpour S，Elsami M R．Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads[J]．International Journal of Pressure Vessels and Piping，2002，79(7)：493-497． doi: 10.1016/S0308-0161(02)00043-1
[14]	Jabbari M，Sohrabpour S，Eslami M R．General solution for mechanical and thermal stresses in a functionally graded hollow cylinder due to nonaxisymmetric steady-state loads[J]．Journal of Applied Mechanics-Transactions of the ASME，2003，70(1)：111-118． doi: 10.1115/1.1509484
[15]	Atkinson，K E，Shampine，L F．Algorithm 876：solving fredholm integral equations of the second kind in MATLAB[J]．ACM Transaction on Mathematical Software，2008，34(4)，article 21．
[16]	ZHAO Jun，AI Xing，LI Yan-zheng，et al．Thermal shock resistance of functionally gradient solid cylinders[J]．Material Science and Engineering A，2006，418(1/2)：99-110． doi: 10.1016/j.msea.2005.11.019
[17]	Shackelford James F，Alexander W．Material Science and Engineering Handbook[M]．Boca Raton：CRC Press LLC，2001．
[18]	You L H，Ou H，Li J．Stress analysis of functionally graded thick-walled cylindrical vessels[J]．AIAA Journal，2007，45(11)：2790-2798． doi: 10.2514/1.31926
[19]	Bhowmick S，Misra D，Nath Saha K．Approximate solution of limit angular speed for externally loaded rotating solid disk[J]．International Journal of Mechanical Sciences，2008，50(2)：163-174． doi: 10.1016/j.ijmecsci.2007.07.004

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任意梯度分布功能梯度圆环的热弹性分析

doi: 10.3879/j.issn.1000-0887.2009.10.001

作者简介:
彭旭龙(1983- ),女,湖南湘乡人,博士生;李显方(1964- ),男,湖南永州人,教授,博士生导师(联系人.Tel:+86-731-88877750;E-mail:xfli@mail.csu.edu.cn).

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Thermoelastic Analysis of a Functionally Graded Annulus With an Arbitrary Gradient

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任意梯度分布功能梯度圆环的热弹性分析

doi: 10.3879/j.issn.1000-0887.2009.10.001

作者简介: 彭旭龙(1983- ),女,湖南湘乡人,博士生;李显方(1964- ),男,湖南永州人,教授,博士生导师(联系人.Tel:+86-731-88877750;E-mail:xfli@mail.csu.edu.cn).

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出版历程

Thermoelastic Analysis of a Functionally Graded Annulus With an Arbitrary Gradient

计量

出版历程

目录

作者简介:
彭旭龙(1983- ),女,湖南湘乡人,博士生;李显方(1964- ),男,湖南永州人,教授,博士生导师(联系人.Tel:+86-731-88877750;E-mail:xfli@mail.csu.edu.cn).