基于键型近场动力学非连续Galerkin有限元法的爆炸毁伤模拟

成嘉禾; 顾鑫; 章青

doi:10.21656/1000-0887.430338

基于键型近场动力学非连续Galerkin有限元法的爆炸毁伤模拟

doi: 10.21656/1000-0887.430338

河海大学力学与材料学院，南京 211100

(我刊编委章青来稿)

基金项目:

国家自然科学基金项目 12172121

国家自然科学基金项目 U1934206

中央高校科研业务费 B210201031

详细信息

作者简介:
成嘉禾(1997—)，男，硕士生(E-mail: jexooooo@163.com)

顾鑫(1991—)，男，副研究员，硕士生导师(E-mail: xingu@hhu.edu.cn)

通讯作者:
章青(1963—)，男，教授，博士生导师(通讯作者. E-mail: lxzhangqing@hhu.edu.cn)

中图分类号: O242;O342
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出版历程
- 收稿日期: 2022-10-25
- 修回日期: 2023-01-07
- 刊出日期: 2023-04-01

Blast Damage Simulation With the Discontinuous Galerkin Finite Element Method of Bond-Based Peridynamics

College of Mechanics and Materials, Hohai University, Nanjing 211100, P.R.China

(Contributed by ZHANG Qing, M. AMM Editorial Board)

摘要

摘要: 近场动力学是一种积分型非局部的连续介质力学理论，已广泛应用于固体材料和结构的非连续变形与破坏分析中，其数值求解方法主要采用无网格粒子类的显式动力学方法.近年来，弱形式近场动力学方程的非连续Galerkin有限元法得到发展，该方法不仅可以描述考察体的非局部作用效应和非连续变形特性，还可以充分利用有限单元法高效求解的特点，并继承了有限元法能直接施加局部边界条件的优点，可有效避免近场动力学的表面效应问题.该文阐述了键型近场动力学的非连续Galerkin有限元法的基本原理，导出了计算列式，给出了具体算法流程和细节，计算模拟了脆性玻璃板动态开裂分叉问题，并对爆炸冲击荷载作用下混凝土板的毁伤过程进行了计算分析.研究结果表明，该方法能够再现爆炸冲击荷载作用下结构的复杂破裂模式和毁伤破坏过程，且具有较高的计算效率，是模拟结构爆炸冲击毁伤效应的一种有效方法.
- 近场动力学 /
- 非连续Galerkin有限单元法 /
- 爆炸毁伤 /
- 混凝土
Abstract: The peridynamics (PD) as an integral non-local continuum mechanics theory, is widely used in the discontinuous deformation and failure analyses of solid materials and structures, mainly with the explicit dynamic solution method for meshless particles. In recent years, the discontinuous Galerlin finite element method for weak-form peridynamic equations has been developed. This method can not only describe the non-local action effects and discontinuous deformation characteristics of the investigated body, but also make full use of the finite element method. It has the advantages of efficient solution, direct application of local boundary conditions, and effective avoidance of the surface effects in peridynamics. The basic principle of the discontinuous Galerkin finite element method of bond-based peridynamics was expounded, the calculation formula was derived, the specific algorithm flowchart and details were given, and the dynamic cracking and bifurcation problems of brittle glass plates were simulated. The damage processes of concrete slabs under blast impact loads were calculated and analyzed. The research results show that, the proposed method can predict the complex rupture mode and the damage process of the structure under blast impact loads, with high computational efficiency, and makes an effective way to the simulation of the structural blast damage effects.
- peridynamics /
- discontinuous Galerkin FEM /
- explosive damage /
- concrete
edited-by

edited-by
注释:

1) (我刊编委章青来稿)

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图 1 传统有限元的连续网格(左)与非连续Galerkin有限元的网格(右)^[22]

Figure 1. The continuous mesh of traditional finite elements (left) and the mesh of non-continuous Galerkin finite element (right)^[22]

下载: 全尺寸图片幻灯片

图 2 含预制裂纹玻璃板及其外荷载

Figure 2. The pre-cracked glass panel and its external load

下载: 全尺寸图片幻灯片

图 3 本文方法(左)与Ha等^[26]方法(右)得到的裂纹扩展模式(t=46 μs)

Figure 3. The crack propagation modes obtained with the present method (left) and the method of Ha et al. ^[26] (right) (t=46 μs)

下载: 全尺寸图片幻灯片

图 4 本文方法(上)与Ha等^[26]方法(下)得到的裂纹在分叉点演变情况

注为了解释图中的颜色，读者可以参考本文的电子网页版本，后同.

Figure 4. The evolution of crack bifurcation points obtained with the present method (top) and the method of Ha et al.^[26] (bottom)

下载: 全尺寸图片幻灯片

图 5 左右两边固定约束(左)与四周固定约束(右)的几何模型

Figure 5. Geometric models with fixed constraints on the left and right sides (left) and fixed constraints on all sides (right)

下载: 全尺寸图片幻灯片

图 6 对边固定混凝土板迎爆面(上)与背爆面(下)的毁伤情况

Figure 6. The damages of the front surface (top) and the back surface (bottom) of the concrete slab fixed on the opposite sides

下载: 全尺寸图片幻灯片

图 7 四边固定混凝土板迎爆面(上)与背爆面(下)的毁伤情况

Figure 7. The damages of the front surface (top) and the back surface (bottom) of the concrete slab fixed on 4 sides

下载: 全尺寸图片幻灯片

图 8 0.5 m，0.6 m爆距下，起爆11.5 ms时刻混凝土板迎爆面(左)与背爆面(右)的毁伤情况

Figure 8. The damages of the front surface (left) and the back surface (right) of the concrete slab at 11.5 ms after detonation at 0.5 m, 0.6 m blast distances

下载: 全尺寸图片幻灯片

图 9 0.1 kg，0.3 kg炸药当量下，起爆11.5 ms时刻混凝土板迎爆面(左)与背爆面(右)的毁伤情况

Figure 9. The damages of the front surface (left) and the back surface (right) of the concrete slab at 11.5 ms after detonation for 0.1 kg, 0.3 kg explosive equivalents

下载: 全尺寸图片幻灯片

表 1 计算时间对比

Table 1. The computation time comparison

	Δx=1 mm	Δx=0.5 mm	Δx=0.25 mm
present method	54 s	246 s	1 350 s
conventional bond-based PD method	104 s	522 s	3 277 s

下载: 导出CSV

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基于键型近场动力学非连续Galerkin有限元法的爆炸毁伤模拟

doi: 10.21656/1000-0887.430338

作者简介:
成嘉禾(1997—)，男，硕士生(E-mail: jexooooo@163.com)

顾鑫(1991—)，男，副研究员，硕士生导师(E-mail: xingu@hhu.edu.cn)

通讯作者:
章青(1963—)，男，教授，博士生导师(通讯作者. E-mail: lxzhangqing@hhu.edu.cn)

计量

Blast Damage Simulation With the Discontinuous Galerkin Finite Element Method of Bond-Based Peridynamics

计量

目录

留言板

基于键型近场动力学非连续Galerkin有限元法的爆炸毁伤模拟

doi: 10.21656/1000-0887.430338

作者简介: 成嘉禾(1997—)，男，硕士生(E-mail: jexooooo@163.com) 顾鑫(1991—)，男，副研究员，硕士生导师(E-mail: xingu@hhu.edu.cn)

通讯作者: 章青(1963—)，男，教授，博士生导师(通讯作者. E-mail: lxzhangqing@hhu.edu.cn)

计量

出版历程

Blast Damage Simulation With the Discontinuous Galerkin Finite Element Method of Bond-Based Peridynamics

计量

出版历程

目录

作者简介:
成嘉禾(1997—)，男，硕士生(E-mail: jexooooo@163.com)

顾鑫(1991—)，男，副研究员，硕士生导师(E-mail: xingu@hhu.edu.cn)

通讯作者:
章青(1963—)，男，教授，博士生导师(通讯作者. E-mail: lxzhangqing@hhu.edu.cn)