基于SPH方法的钢筋混凝土切削模拟研究

谭松成; 石恒超; 王伟雄; 方小红; 段隆臣

doi:10.13394/j.cnki.jgszz.2022.3006

基于SPH方法的钢筋混凝土切削模拟研究

doi: 10.13394/j.cnki.jgszz.2022.3006

中国地质大学(武汉) 工程学院, 武汉 430074

基金项目: 国家自然科学基金青年项目（41602373）。

详细信息

作者简介:
段隆臣，男，1967年生，教授、博导。主要研究方向：金刚石工具设计、制造与应用的相关教学与研究工作。E-mail：duanlongchen@cug.edu.cn

中图分类号: TG58; TU528.7
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出版历程
- 收稿日期: 2022-07-03
- 修回日期: 2022-08-20
- 录用日期: 2022-08-23
- 刊出日期: 2023-04-20

Simulation of reinforced concrete cutting based on SPH method

Faculty of Engineering, China University of Geosciences, Wuhan 430074, China

摘要

摘要: 钢筋混凝土材料目前已得到广泛应用，但其加工切削过程十分复杂。为解决常规有限元模拟中网格变形尺寸有限的局限性，采用光滑粒子流体动力学（SPH）算法模拟研究金刚石磨粒对钢筋混凝土的切削破碎过程。在数值模拟中，根据金刚石出刃状态将其简化成方形、圆形2种磨粒，并以0.45 mm/ms的速度和0.1 mm的切削深度对钢筋、混凝土和不同组合的钢筋混凝土材料进行表面切削，分析不同情况下的基体碎屑形态特征、切削后基体材料表面形态变化、内部裂纹延伸变化以及磨粒切削面上的应力变化情况。模拟结果表明：SPH方法能够较好地模拟钢筋混凝土在切削过程中的裂纹扩展、碎屑形成和分离；磨粒在切削过程中受到间断性冲击后，会优先破坏混凝土和钢筋材料之间的连接强度，使2种材料逐渐分离，且磨粒以面切削方式进行加工时，相较于点切削方式，能够形成更大的破碎区域。
- 钢筋混凝土 /
- 数值模拟 /
- SPH算法 /
- 金刚石 /
- 切削过程
Abstract: Reinforced concrete structure has been widely applied in modern society, while its cutting process is very complicated. To solve the inaccurate problem due to grid deformation in conventional finite element method, smoothed particle hydrodynamics (SPH) particle algorithm was adopted to simulate the cutting and breaking processes of reinforced concrete by diamond abrasive particle. According to their possible protrusion states of diamonds on tools’ working surface, diamonds were simplified as square and circular abrasives respectively. Then, the abrasives performed surface cutting on steel, concrete, and different combinations of reinforced concrete materials at a cutting speed of 0.45 mm/ms and a cutting depth of 0.1 mm. The morphological characteristics of cutting chips, the morphological change of the working pieces surface after cutting, the change of crack extension within the working pieces, as well as the stress change on the cutting surface of two kinds of abrasives were analyzed. The simulation results indicate that the SPH method can simulate the crack propagation, the chip formation and the materials separation during the cutting process. The intermittent impact on abrasives in the cutting process will preferentially destroy the connection between the two materials which can be gradually separated to each other. Besides, in the surface cutting type of square abrasive there can form a larger broken area than that in the point cutting type of circular abrasive.
- reinforced concrete /
- numerical simulation /
- smoothed particle hydrodynamics /
- diamond /
- cutting process

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图 1 D-P分段曲线示意图

Figure 1. Schematic diagram of D-P segmenting curve

下载: 全尺寸图片幻灯片

图 2 方形磨粒切削混凝土和钢筋的变化

Figure 2. Change diagrams of square abrasive particle cutting concrete and steel

下载: 全尺寸图片幻灯片

图 3 圆形磨粒切削混凝土和钢筋的变化图

Figure 3. Change diagrams of circular cutter cutting concrete and steel

下载: 全尺寸图片幻灯片

图 4 磨粒切削钢筋混凝土组合的变化图

（注：黑线为材料分界线）

Figure 4. Change diagrams of abrasive particle cutting reinforced concrete

(Note: the black line is the interface of concrete and steel)

下载: 全尺寸图片幻灯片

图 5 方形磨粒切削混凝土钢筋组合形态变化与切削应力

（注：黑线为材料分界线，蓝色线为坐标分割线）

Figure 5. Change diagrams of suqare abrasive cutting reinforced concrete

(Note: The black line is the interface of concrete and steel; The blue line is the coordinate dividing line)

下载: 全尺寸图片幻灯片

图 6 圆形磨粒切削混凝土钢筋组合形态变化与切削应力

（注：黑线为材料分界线，蓝色线为坐标分割线）

Figure 6. Change diagrams of circular abrasive cutting reinforced concrete

(Note: The black line is the interface of concrete and steel; The blue line is the coordinate dividing line)

下载: 全尺寸图片幻灯片

表 1 钢筋的Johnson-Cook模型参数

Table 1. Johnson-Cook model parameters of steel

参数	取值
剪切模量G / kPa	7.70 002 × 10⁷
Hugoniot弹性极限（HEL）/ kPa	6.570 000 × 10⁵
初始屈服应力A / kPa	7.920 002 × 10⁵
硬化常数B / kPa	5.100 001 × 10⁵
应变速率常数C	0.014 000
热软化指数m	1.030 000
熔点$ {T}_{\mathrm{m}\mathrm{e}\mathrm{l}\mathrm{t}} $ / K	1 793.000 000
损伤常数D₁	0.050 000
损伤常数D₂	3.440 000
损伤常数D₃	−2.120 000
损伤常数D₄	0.002 000
损伤常数D₅	0.610 000

下载: 导出CSV

表 2 混凝土分段D-P强度模型参数

Table 2. Concrete parameters of segmenting D-P strength model

参数	取值
剪切模量G /kPa	7.880 000 × 10⁶
应力1 P₁ / kPa	0.000 000
应力2 P₂ / kPa	8.000 000 × 10⁴
应力3 P₃ / kPa	1.100 000 × 10⁵
应力4 P₄ / kPa	2.000 000 × 10⁵
屈服强度1 σ_S1 / kPa	2.500 000 × 10⁵
屈服强度2 σ_S2 / kPa	1.100 000 × 10⁵
屈服强度3 σ_S3 / kPa	1.600 000 × 10⁵
屈服强度4 σ_S4 / kPa	1.950 000 × 10⁵

下载: 导出CSV

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