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A two-dimensional problem of a mode-I crack in a rotating fibre-reinforced isotropic thermoelastic medium under dual-phase-lag model

机译:双相滞后模型下旋转纤维增强各向同性热弹性介质中I型裂纹的二维问题

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In the present work, a general model of the equations of generalized thermoelasticity for a homogeneous isotropic elastic half-space solid whose surface is subjected to a mode-I crack problem under the effect of rotation is investigated. The normal mode analyses are used to obtain the expressions for the temperature distribution, the displacement component and thermal stresses in the context of the dual-phase-lag theory of thermoelasticity proposed by Tzou. The boundary of the crack is subjected to a prescribed stress distribution and temperature. Some particular cases are also discussed in the context of the problem. The numerical values of the temperature distribution, the displacement components and thermal stresses are also computed for a suitable material and the results are presented graphically. The effects of rotation, reinforcementand the phase lags parameters are discussed in detail in the light of earlier works.
机译:在目前的工作中,研究了一个均质各向同性的弹性半空间固体的广义热弹性方程的通用模型,该固体的表面在旋转作用下受到I型裂纹问题的影响。在Tzou提出的热弹性双相滞后理论的背景下,使用正态模式分析来获得温度分布,位移分量和热应力的表达式。裂纹的边界受到规定的应力分布和温度的影响。在该问题的上下文中还讨论了一些特殊情况。还针对合适的材料计算了温度分布,位移分量和热应力的数值,并以图形方式显示了结果。根据早期的工作,详细讨论了旋转,加固和相位滞后参数的影响。

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