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A proposal of mathematical analysis method for a coupled hygrothermoelastic problem in nonhomogeneous bodies and its application to material tailoring of functionally graded material with a function of humidity regulation

Research Project

Project/Area Number 08650084
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Materials/Mechanics of materials
Research Institutionlwate University.

Principal Investigator

SUGANO Yoshihiro  Iwate Univ., Faculty of Engng., Dept.of Mech.Engng., Professor, 工学部, 教授 (90089160)

Project Period (FY) 1996 – 1997
Project Status Completed (Fiscal Year 1997)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1997: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1996: ¥1,300,000 (Direct Cost: ¥1,300,000)
KeywordsNonhomogeneous Hygrothermoelasticity / Coupled Diffusion Problem / Temperature and Humidity / Hygrothermal Stress / Functionally Graded Materials / Reduction of Thermal Stress / Function of Humidity Regulation / Material Tailoring / 不均質弾性体 / 湿熱連成問題 / 湿熱応力・変形 / 調湿型傾斜機能材料 / 材料組成設計 / 計算力学
Research Abstract

The purpose of this research is to derive analytical solutions for the coupled diffusion problems of temperature and humidity and the associated hygrothermoelastic problem in nonhomogeneous plate and nonhomogeneous hollow circular cylinder under hygrothermal environment and is to apply these analytical solutions to material tailoring of functionally graded material with a function of humidity regulation.
The coupling effect (Dufour effect) of change in humidity on diffusion of heat is much smaller than the coupling effect (Soret effect) of change in temperature on diffusion of humidity. So an analytical solution is presented to the uncoupled transient temperature field in the functionally graded material plate which has arbitrary nonhomogeneities of thermal properties and temperature variation only through the thickness. The transient temperature solution is determined by solving the nonhomogeneous heat conduction problem in a multilayred plate with piecewise-linear nonhomogeneous thermal conductivity, and different, homogeneous specific heat and density in each layr. The uncoupled humidity field in the functionally graded material plate has the same diffusion equation as the temperature field.
As Soret effect is the effect of temperature change with time on the diffusion of humidity, dynamic thermal stress problem in a functionally graded material plate is solved by the characteristic method for the case of impulsive heating with large temperature change with time.
Furthermore, an analytical solution is presented for a transient temperature and the associated thermal stress due to an abrupt heating on the plate surface in a functionally graded material plate which is composed of n plates with dissimilar piecewise-linear nonhomogeneities. The optimization of material composition taking the minimization of tensile thermal stress into account is carried out for functionally graded material plate composed of PSZ and SUS304 by using genetic algorithm.

Report

(3 results)
  • 1997 Annual Research Report   Final Research Report Summary
  • 1996 Annual Research Report
  • Research Products

    (22 results)

All Other

All Publications (22 results)

  • [Publications] 須見 尚文, 菅野 良弘: "傾斜機能材料をインサート材とする複合円筒の動的熱応力解析" 日本機械学会論文集(A編). 62-597. 73-80 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 菅野 良弘: "断続的な熱負荷を受ける傾斜機能平板の非定常温度分布と熱応力" 日本機械学会論文集(A編). 62-598. 112-120 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] K.TANAKA, Y.SUGANO: "A Multicritical Matenial Tailoring of a Hollow Cylinder in Functionally Gradient Materials:Scheme to Gloval Reduction of Therwoelastic Stresses" Conputer Methods on Applied Mechanics and Engineering. 135-3. 369-380 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 菅野 良弘: "区分的線形不均質性近似による傾斜機能平板の非定常温度場の解析" 日本機械学会論文集(A編). 63-606. 378-384 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N, SUMI, Y.SUGANO: "Therwally Induced Stress Waves inFunctionally Gradecl Materials with Tewperatwr-Dependent Material Properies" Journal of Therwal Stresses. 20-314. 281-294 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 須見 尚文, 菅野 良弘: "電磁波加熱を受ける傾斜機能材料の動的熱応力" 日本機械学会論文集(A編). 64-618. 85-90 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N.SUMI,H.MONNA and Y.SUGANO: "Dynamic Thermal Stresses in a Composite Hollow Circular Cylinder with an Interlayr of Functionally Graded Material" Transactions of Japan Society of Mechanical Engineers. 62-597. 73-80 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Y.SUGANO,K.SATO and N.SUMI: "Transient Temperature and Thermal Stresses in a Functionally Graded Plate Subjected to Intermittent Heating" Transactions of Japan Society of Mechanical Engineers. 62-598. 112-120 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] K.TANAKA,H.WATANABE,Y.SUGANO and V.F.POTERASU: "A Multicriterial Material Tailoring of a Hollow Cylinder in Functionally Gradient Materials : Scheme to Global Reduction of Thermoelastic Stresses" Computer Methods in Applied Mechanics and Engineering. 135-3. 369-380 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Y.SUGANO,K.SATO and N.SUMI: "An Analytical Solution to Transient Temperature Field in a Functionally Graded Material Plate by Piecewise-Linear Nonhomogeneity Approximation Method" Transactions of Japan Society of Mechanical Engineers. 63-606. 166-172 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N.SUMI and Y.SUGANO.: "Thermally Induced Stress waves in Functionally Graded Materials with Temperature-Dependent Material Properties" Journal of Thermal Stresses. 20-3/4. 281-294 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N.SUMI and Y.SUGANO: "Dynamic Thermal Stresses in a Temperature-Dependent Nonhomogeneous Hollow Circular Cylinder Induced by Laser Pulses" Proceedings of the Second International symposium on Thermal Stresses and Related Topics, Rochester, USA. 713-716 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N.SUMI,H.MONNA and Y.SUGANO: "Dynamic Thermal Stresses in a Functionally Graded Material Subjected to Electromagnetic Radiation" Transactions of Japan Society of Mechanical Engineers. 64-618. 85-90 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 須見尚文, 菅野良弘: "傾斜機能材料をインサート材とする複合円筒の動的熱応力解析" 日本機械学会論文集(A編). 62-597. 73-80 (1996)

    • Related Report
      1997 Annual Research Report
  • [Publications] 菅野良弘: "断続的な熱負荷を受ける傾斜機能平板の非定常温度分布と熱応力" 日本機械学会論文集(A編). 62-598. 112-120 (1996)

    • Related Report
      1997 Annual Research Report
  • [Publications] K.TANAKA, Y.SUGANO: "A Multicritical Material Tailoring of a Hollow Cylinder in Functionally Gradient Materials:Scheme to Global Reduction of Thermoelastic Stresses" Computer Methods in Applied Mechanics and Engineering. 135-3. 369-380 (1996)

    • Related Report
      1997 Annual Research Report
  • [Publications] 菅野良弘: "区分的線形不均質性近似による傾斜機能平板の非定常温度場の解析解" 日本機械学会論文集(A編). 63-606. 378-384 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] N.SUMI, Y.SUGANO: "Thermally Induced Stress Waves in Functionally Graded Materials with Temperature-Dependent Material Properties" Journal of Thermal Stresses. 20-3/4. 281-294 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 須見尚文, 菅野良弘: "電磁波加熱を受ける傾斜機能材料の動的熱応力" 日本機械学会論文集(A編). 64-618. 85-90 (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] 菅野良弘: "区分的線形不均質性近似による傾斜機能平板の非定常温度場の解析解" 日本機械学会論文集(A編). 63巻606号. 378-384 (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] Kikuaki TANAKA: "A multicriterial material tailoring of a hollow cylinder in functionally gradient materials :Scheme to global reduction of thermoelastic stresses." Computer Mothods in Applied Mechanics and Engineering. vol.135. 369-380 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Naobumi SUMI: "Thermally induced stress waves in functionally graded Materials with temperature-dependent material properties" Journal of Thermal Stresses. vol.20. 281-294 (1997)

    • Related Report
      1996 Annual Research Report

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Published: 1996-04-01   Modified: 2016-04-21  

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