Thermo-mechanical coupling particle simulation of three-dimensional large-scale non-isothermal problems
Thermo-mechanical coupling particle simulation of three-dimensional large-scale non-isothermal problems
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DOI：
10.1108/ec-04-2016-0135
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发表时间：
2017-06
影响因子：
1.6
通讯作者：
M. Xia
中科院分区：
文献类型：
--
作者：
M. Xia
目的本文的主要目的是提出一个全面的三维（3D）大尺度非等温问题的热力耦合颗粒模拟的高级理论，使一个小的3D长度尺度的颗粒模型能够精确地再现与一个大的3D长度尺度的颗粒模型相同的力学和热学结果。设计/方法/途径通过遵循Feng和Owen（2014）提出的缩放方法来实现目标。结果四个基本的物理量和它们的相似比被选中后，派生的数量和它的相似比可以从它的尺寸。由于所提出的全面的3D放大理论包含五个相似性标准，它揭示了从小的3D长度尺度（例如实验室长度尺度）模型获得的粒子模拟解决方案与从大的3D长度尺度（例如地质长度尺度）模型获得的粒子模拟解决方案之间的内在关系。研究了热力耦合粒子模型中三维相互作用定律的尺度不变性。通过两个典型算例对提出的三维尺度理论进行了验证。最后，通过一个恒定热流密度下固体内部三维瞬态热流的实际应用实例，说明了所提出的三维高阶理论在三维大规模非等温问题热力耦合粒子模拟中的性能。基准测试和应用实例都证明了所提出的三维放大理论的正确性和实用性，用粒子模拟方法模拟三维非等温问题。独创性/价值-本文提供了一些重要的理论指导建模三维大规模的非等温问题，在工程长度尺度（即米级）和地质长度尺度（即地质尺度）直接使用粒子模拟方法。
Purpose The main purpose of this paper is to present a comprehensive upscale theory of the thermo-mechanical coupling particle simulation for three-dimensional (3D) large-scale non-isothermal problems, so that a small 3D length-scale particle model can exactly reproduce the same mechanical and thermal results with that of a large 3D length-scale one. Design/methodology/approach The objective is achieved by following the scaling methodology proposed by Feng and Owen (2014). Findings After four basic physical quantities and their similarity-ratios are chosen, the derived quantities and its similarity-ratios can be derived from its dimensions. As the proposed comprehensive 3D upscale theory contains five similarity criteria, it reveals the intrinsic relationship between the particle-simulation solution obtained from a small 3D length-scale (e.g. a laboratory length-scale) model and that obtained from a large 3D length-scale (e.g. a geological length-scale) one. The scale invariance of the 3D interaction law in the thermo-mechanical coupled particle model is examined. The proposed 3D upscale theory is tested through two typical examples. Finally, a practical application example of 3D transient heat flow in a solid with constant heat flux is given to illustrate the performance of the proposed 3D upscale theory in the thermo-mechanical coupling particle simulation of 3D large-scale non-isothermal problems. Both the benchmark tests and application example are provided to demonstrate the correctness and usefulness of the proposed 3D upscale theory for simulating 3D non-isothermal problems using the particle simulation method. Originality/value The paper provides some important theoretical guidance to modeling 3D large-scale non-isothermal problems at both the engineering length-scale (i.e. the meter-scale) and the geological length-scale (i.e. the kilometer-scale) using the particle simulation method directly.