• Title/Summary/Keyword: Greens Function Solution

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An analytical study on unsteady thermal stresses of functionally graded materials (경사기능재료의 비정상 열응력에 관한 해석적 연구)

  • Choi, Deok-Kee;Kim, Chang-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.9
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    • pp.1441-1451
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    • 1997
  • This paper addresses method which can be used for analyzing thermal stresses of a functionally graded material(FGM) using semi-analytical approach. FGM is a nonhomogeneous material whose composition changes continuously from a metal surface to a ceramic surface. An infinite one dimensional FGM plate is considered. The temperature distribution in the FGM is obtained by approximate Green's function solution. To expedite the convergence of the solutions, alternative Green's function solution is derived and shows good agreement with results from finite difference method. Thermal stresses are calculated using temperature distribution of the plate.

A study on relaxation of thermal stresses of heat-resistant systems (열차단 시스템에 있어서의 열응력 완화에 대한 연구)

  • Choi, Deok-Kee;Kim, Chang-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.1
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    • pp.16-22
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    • 1998
  • This paper addresses a method which can be used for analyzing thermal stresses of a functionally graded material(FGM) using semi-analytical approach. FGM is a nonhomogeneous material whose composition is changed continuously from a metal surface to a ceramic surface. An infinite one dimensional FGM plate is considered. The temperature distribution in the FGM is obtained by approximate Green's function solution. To expedite the convergence of the solutions, alternative Green's function solution is derived and shows good agreement with results from finite difference method. Thermal stresses are calculated using temperature distribution of the plate.

A Study on Design of Functionally graded Materials (경사기능재료의 설계에 관한 연구)

  • 최덕기;경사기
    • Transactions of the Korean Society of Automotive Engineers
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    • v.6 no.2
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    • pp.144-154
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    • 1998
  • A functionally graded material is a nonhomogeneous material, which is composed of several different materials to maintain structural rigidity and endure high temperature loads. An analytical method is presenter to solve the unsteady heat conduction equation for nonhomogeneous materials. A one-dimensional infinite plate made of functionally graded material is considered. The approximate Green's function solution is derived and to be used to obtain the temperature distribution them the stress distributions may be obtained. The volume fraction, the porosity, the stress difference, and the stress ratio are the design parameters and are to be used to set up a systematic design procedure.

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