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An indirect boundary element method for analysis of 3D thermoelastic problem with cracks

机译:含裂纹的3D热弹性问题的间接边界元方法

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In this paper, we first consider a combined boundary element method for numerical simulation of effect of temperature change on deformation due to time-varying heat conditions. The numerical simulation uses combination of an indirect boundary element method (IBEM) for temperature field and displacement discontinuity method (DDM) for displacement and stress fields. Time-varying fictitious heat source is employed in the IBEM and is approximated with a series of fictious heat sources with constant strengths that are applied incrementally at different times. Mathematically, the smooth-varying strength function of fictitious heat source is approximated with a stepwise function. The solution schemes previously developed for fictitious heat sources with constant strength are used for each increment. The combined scheme is used to compare the thermal effects caused by constant temperature and time-varying temperature on surface of a spherical cavity in an infinite body. The approximation scheme is verified with analytical solution when the temperature on the spherical cavity surface varies linearly with time. Then thermal fields around a conceptual thermal energy storage tank is simulated. Finally, the effects of temperature change in cracks connected to a vertical borehole on the propagation pattern of the cracks are investigated with the numerical scheme. It is found that cold temperature on the crack surfaces could help to reduce curvature of crack surfaces when multiple cracks are used, compared with fluid flow driven growth.
机译:在本文中,我们首先考虑一种组合边界元方法,用于数值模拟温度变化对时变热条件的影响。数值模拟将间接边界元法(IBEM)用于温度场,并将位移不连续法(DDM)用于位移和应力场。随时间变化的虚拟热源在IBEM中使用,并且近似于一系列具有恒定强度的虚拟热源,这些虚拟热源在不同的时间递增应用。在数学上,虚拟热源的平滑强度函数通过逐步函数来近似。以前为具有恒定强度的虚拟热源开发的解决方案用于每个增量。组合方案用于比较无限体中球形腔表面恒定温度和时变温度引起的热效应。当球形腔表面的温度随时间线性变化时,可以用解析解验证该近似方案。然后,模拟概念性储热罐周围的热场。最后,利用数值方案研究了与垂直井筒相连的裂纹温度变化对裂纹扩展模式的影响。研究发现,与流体流动驱动的生长相比,当使用多个裂纹时,裂纹表面的低温有助于降低裂纹表面的曲率。

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