• Title/Summary/Keyword: Xie)

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Optimization of thin shell structures subjected to thermal loading

  • Li, Qing;Steven, Grant P.;Querin, O.M.;Xie, Y.M.
    • Structural Engineering and Mechanics
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    • v.7 no.4
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    • pp.401-412
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    • 1999

  • The purpose of this paper is to show how the Evolutionary Structural Optimization (ESO) algorithm developed by Xie and Steven can be extended to optimal design problems of thin shells subjected to thermal loading. This extension simply incorporates an evolutionary iterative process of thermoelastic thin shell finite element analysis. During the evolution process, lowly stressed material is gradually eliminated from the structure. This paper presents a number of examples to demonstrate the capabilities of the ESO algorithm for solving topology optimization and thickness distribution problems of thermoelastic thin shells.

  • https://doi.org/10.12989/sem.1999.7.4.401 인용

HEAT KERNEL ESTIMATES FOR DIRICHLET FRACTIONAL LAPLACIAN WITH GRADIENT PERTURBATION

  • Chen, Peng;Song, Renming;Xie, Longjie;Xie, Yingchao
    • Journal of the Korean Mathematical Society
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    • v.56 no.1
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    • pp.91-111
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    • 2019

  • We give a direct proof of the sharp two-sided estimates, recently established in [4, 9], for the Dirichlet heat kernel of the fractional Laplacian with gradient perturbation in $C^{1,1}$ open sets by using Duhamel's formula. We also obtain a gradient estimate for the Dirichlet heat kernel. Our assumption on the open set is slightly weaker in that we only require D to be $C^{1,{\theta}}$ for some ${\theta}{\in}({\alpha}/2,1]$.

  • https://doi.org/10.4134/JKMS.j180065 인용 PDF KSCI