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On the complex potentials for a body with holes in doubly periodic plane[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(2): 175-182. DOI: 10.6052/0459-1879-2005-2-2003-502
Citation: On the complex potentials for a body with holes in doubly periodic plane[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(2): 175-182. DOI: 10.6052/0459-1879-2005-2-2003-502
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On the complex potentials for a body with holes in doubly periodic plane

  • 南昌大学工程力学实验中心,330029

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  • First, the complex variable method in planethermoelasticity for harmonic temperature change field is discussed, and thegeneral expression of the complex potentials in a finite multi-connectedregion under harmonic temperature change is derived. Then, based on theanalysis for the expression and multivalue property of the doubly-periodicanalytic function (the real part of which is given) and its object function,the general expression of the two complex potentials in plane elasticity fora body with a doubly periodic set of holes under doubly-periodic harmonictemperature change is obtained. Finally, the conclusion that the heatstresses vanish in two special cases is deduced.
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