基于文献计量学的近场动力学研究的演进、热点和趋势分析

顾鑫; 勾文千; 黄丹; 章青

doi:10.21656/1000-0887.460132

基于文献计量学的近场动力学研究的演进、热点和趋势分析

doi: 10.21656/1000-0887.460132

河海大学工程力学系，南京 211100

(我刊青年编委顾鑫、编委章青来稿)

基金项目:

国家自然科学基金 12172121

国家自然科学基金 12472200

江苏省青年科技人才托举工程项目 JSTJ-2025-172

详细信息

通讯作者:
顾鑫(1991—)，男，副教授，博士(通信作者. E-mail: xingu@hhu.edu.cn)

章青(1963—)，男，教授，博士(通信作者. E-mail: lxzhangqing@hhu.edu.cn)

中图分类号: O357.41
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出版历程
- 收稿日期: 2025-07-04
- 修回日期: 2025-08-10
- 刊出日期: 2026-01-01

Research Progress, Hotspots and Trends of Peridynamics Based on Bibliometrics

Department of Engineering Mechanics, Hohai University, Nanjing 211100, P. R. China

(Contributed by GU Xin, M.AMM Youth Editorial Board & ZHANG Qing, M.AMM Editorial Board)

摘要

摘要: 近场动力学(peridynamics, PD)是一种积分型非局部连续介质力学理论，适用于固体材料和结构在复杂载荷作用下的损伤-断裂-破坏问题分析，也被拓展至扩散传输问题、流体力学问题、热-电-磁-湿-力-化等多物理化学耦合问题分析. 近年来，近场动力学研究维度更加多元化，研究深度持续加强，应用广度不断延展. 该文试图从文献分析的角度，基于文献计量学的统计分析方法和可视化文本挖掘工具CiteSpace，梳理近场动力学研究的发展演进历史、当前的研究热点和未来的研究趋势. 近场动力学研究可分为萌芽期、缓慢增长期、快速增长期，研究主力国家为中国、美国、英国、德国、意大利、土耳其等，美国在诸多领域具备领先优势，中国的研究增速最快，中国在近场动力学领域的研究已由“跟跑”转向“并跑”甚至在部分领域实现“领跑”. 研究热点主要包括近场动力学的理论建模、数值算法和固体动态裂纹扩展以及剧烈破碎问题，弹塑性/大变形问题、热力耦合为代表的多物理场耦合问题、流固耦合问题、非均质材料的多尺度和均匀化建模、近场动力学与其他方法混合建模、高性能计算、近场动力学与各种机器学习方法的结合等，这些也仍将是未来研究人员关注的焦点.
- 近场动力学 /
- 文献计量学 /
- 研究现状 /
- 发展趋势
Abstract: Peridynamics (PD) is a type of integral nonlocal continuum mechanics, originally developed for analyzing damage, fracture, and failure in solids and structures under complex loadings. It has since been extended to diverse problems including diffusion-transport, fluid mechanics, and multi-physics/chemistry couplings (thermal, electrical, magnetic, hygro, chemical). Recent years have witnessed increasingly diversified dimensions, deepening research focus, and broadening applications within the peridynamics field. Based on the bibliometric statistics and visual text-mining tool CiteSpace, PD's development history, current research hotspots, and future trends were reviewed. The research evolution of peridynamics can be categorized into the embryonic, the slow-growth, and the fast-growth periods. Leading contributing nations include China, the United States, the United Kingdom, Germany, Italy, and Türkiye. While the US maintains leadership across multiple domains, China exhibits the fastest growth rate, transitioning from following to paralleling and even leading in specific areas. Key research hotspots encompass PD theoretical modeling, numerical algorithms, dynamic crack propagation and severe fracture in solids, elastic-plastic/large deformation problems, multi-physics couplings (notably thermo-mechanical and fluid-solid), multi-scale and homogenization modeling of heterogeneous materials, coupling PD with other methods (e.g., PD-FEM, PD-SPH, PD-MD, PD-FVM), high-performance computing, and the integration of PD with machine learning. These areas are anticipated to remain central to future research of peridynamics.
- peridynamics /
- bibliometrics /
- research status /
- trend
edited-by

edited-by
注释:

1) (我刊青年编委顾鑫、编委章青来稿)

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图 1 近场动力学研究文献年代分布(WOS，截至2025年6月25日)

Figure 1. The distribution of research literatures on peridynamics by year (WOS, as of June 25, 2025)

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图 2 缓慢增长时期发表文献top 20的研究人员

Figure 2. Top 20 researchers who published the most papers during the period of slow growth

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图 3 快速增长时期发表文献top 25的国家/地区

Figure 3. Top 25 countries/regions with the most publications during the period of rapid growth

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图 4 快速增长时期发表文献top 25的研究机构

Figure 4. Top 25 research institutions with the most publications during the period of rapid growth

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图 5 快速增长时期发表文献top 25的研究人员

Figure 5. Top 25 researchers who published the most papers during the period of rapid growth

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图 6 中国学者发表的近场动力学中英文文献(左)、中文分类文献(右)年代分布(知网、万方和WOS，截至2025年6月25日)

Figure 6. Chinese and English literatures on peridynamics published by Chinese scholars(left), chronological distributions of Chinese classified literatures(right)(CNKI, Wanfang and WOS, as of June 25, 2025)

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图 7 2013—2025年的近场动力学文献作者合作图谱

Figure 7. The collaboration map of authors in peridynamics literatures from 2013 to 2025

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图 8 2013—2025年的近场动力学文献作者合作图谱(含时间线和聚类)

Figure 8. The collaboration map of authors in peridynamics literatures from 2013 to 2025 (including timeline and clustering)

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图 9 2013—2025年的近场动力学文献的科研机构合作图谱

Figure 9. The collaboration map of research institutions in peridynamics literatures from 2013 to 2025

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图 10 2013—2025年的近场动力学文献的国家/地区合作图谱

Figure 10. The collaboration map of countries/regions in peridynamics literatures from 2013 to 2025

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图 11 2013—2025年的近场动力学文献的关键词聚类图谱

Figure 11. The clustering map of keywords in peridynamics literatures from 2013 to 2025

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图 12 2013—2025年的近场动力学文献的关键词聚类图谱(含时间线和聚类)

Figure 12. The clustering map of keywords in peridynamics literatures from 2013 to 2025 (including timeline and clustering)

下载: 全尺寸图片幻灯片

表 1 2013年后中国、美国与其他国家作者文献量top 40

Table 1. Top 40 researchers who published the most papers in China, United States and other countries since 2013

序号	作者(中国)	发文量	作者(美国)	发文量	作者(其他国家)	发文量
1	周小平	65	Madenci Erdogan	109	Oterkus Erkan(英国)	115
2	黄丹	51	Bobaru Florin	54	Oterkus Selda(英国)	110
3	章青	48	李少凡	46	Galvanetto Ugo(意大利)	49
4	陈子光	42	杜强	45	Zaccariotto Mirco(意大利)	49
5	顾鑫	38	Silling Stewart	34	Rabczuk Timon(德国)	34
6	韩非	30	Guven Ibrahim	31	Dorduncu Mehmet(土耳其)	24
7	任辉龙	27	Foster John	28	Diyaroglu Cagan(土耳其、美国)	21
8	王允腾	26	Song Xiaoyu	25	Shojaei Arman(德国)	20
9	刘立胜	23	Buryachenko Valeriy A	24	庄晓莹(德国)	20
10	夏晓舟	22	田小川	22	Roy Pranesh(印度)	19
11	武立伟	22	Phan Nam	18	Javili Ali(土耳其)	19
12	程站起	21	Lipton Robert	17	Kefal Adnan(土耳其)	18
13	倪涛	20	Parks Michael	16	Steinmann Paul(德国)	18
14	乔丕忠	20	Jafarzadeh Siavash	16	Yang Zhenghao(英国、德国)	18
15	楚锡华	20	Barut Atila	16	Tanaka Satoyuki(日本)	15
16	卢广达	20	Mengesha Tadele	15	Nguyen Cong(英国)	13
17	赖欣	19	Seleson Pablo	14	Hong Jung-Wuk(韩国)	13
18	张恒	19	D’Elia Marta	12	Pellegrino Sabrina Francesca (意大利)	11
19	郭力	18	陈海龙	12	Diana Vito(意大利)	11
20	胡祎乐	18	余悦	12	Bui Tinh Quoc(日本)	10
21	王建祥	17	Reddy J N	12	Bellido Guerrero José Carlos(西班牙)	10
22	郑国君	16	Gunzburger Max	12	Galadima Yakubu Kasimu(英国)	10
23	申国哲	16	Yaghoobi Amin	12	Yildiz Mehmet(英国)	10
24	刘硕	16	赵江明	12	Sedighi Majid(英国)	9
25	古泉	16	Behzadinasab Masoud	11	Mossaiby Farshid(伊朗)	9
26	朱其志	15	Diehl Patrick	11	Wenman Mark(英国)	9
27	郑勇刚	14	Anicode Sundaram Vinod Kumar	11	Scabbia Francesco(意大利)	9
28	赵吉东	14	Fish Jacob	10	Alebrahim Reza(意大利)	9
29	黄小华	14	鞠立力	10	Mora Corral Carlos(西班牙)	9
30	王超	14	Prakash Naveen	10	Güler Mehmet Ali(科威特)	8
31	孙伟	14	Baber Forrest	10	Schrefler Bernhard(意大利)	8
32	王林娟	14	Behera Deepak	10	Yolum Ugur(伊朗)	8
33	刘锦茂	13	Seidel Gary D	9	Jivkov Andrey P(英国)	8
34	张阿漫	13	Kundu Tribikram	9	Lopez Luciano(意大利)	7
35	叶礼裕	13	Sharma Mukul	9	Lubineau Gilles(沙特阿拉伯)	7
36	王玮哲	13	Jha Prashant K	9	Iturrioz Ignacio(巴西)	7
37	严佳乐	12	Aksoylu Burak	8	Haynes Thomas Anthony(英国)	7
38	张洪武	12	Can Ugur	8	Sarego Giulia(意大利)	7
39	张亚南	12	Daya Kaushik	7	Hermann Alexander(德国)	7
40	田浩	12	Gazonas George A	7	McBride Andrew(英国)	7

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表 2 2013—2025年近场动力学研究的高被引论文(按时间倒序)

Table 2. Highly cited papers in peridynamics literatures from 2013 to 2025 (in reverse chronological order)

序号	题名	期刊	出版年	被引次数	第一作者	通信作者	通信作者机构
1	A review of peridynamic theory and nonlocal operators along with their computer implementations	Computers and Structures	2024	31	Dorduncu Mehmet	Rabczuk Timon	魏玛包豪斯大学
2	Quantifying post-peak behavior of rocks with type-Ⅰ, type-Ⅱ, and mixed fractures by developing a quasi-state-based peridynamics	Rock Mechanics and Rock Engineering	2024	40	Tian Feng	刘造保	东北大学
3	A higher-order nonlocal elasticity continuum model for deterministic and stochastic particle-based materials	Zeitschrift fur Angewandte Mathematik und Physik	2024	10	Valle Gabriele La		古斯塔夫·埃菲尔大学
4	A general framework for nonlocal Neumann problems	Communications in Mathematical Sciences	2024	12	Foghem Guy		德累斯顿工业大学
5	A coupled peridynamics-smoothed particle hydrodynamics model for fracture analysis of fluid-structure interactions	Ocean Engineering	2023	62	戴自立	蒋茗韬	上海大学
6	A comparative review of peridynamics and phase-field models for engineering fracture mechanics	Computational Mechanics	2022	96	Diehl Patrick	Wick Tomas	汉诺威莱布尼茨大学、巴黎萨克雷大学
7	Numerical methods for nonlocal and fractional models	Acta Numerica	2020	143	D’Elia Marta		圣地亚国家实验室
8	Maximum principle preserving exponential time differencing schemes for the nonlocal Allen-Cahn equation	SIAM Journal on Numerical Analysis	2019	214	杜强		哥伦比亚大学
9	Peridynamics review	Mathematics and Mechanics of Solids	2019	210	Javili Ali		比尔肯大学
10	Three-dimensional numerical study on the failure characteristics of intermittent fissures under compressive-shear loads	Acta Geotechnica	2019	197	王允腾	周小平	武汉大学、重庆大学
11	A 3-D conjugated bond-pair-based peridynamic formulation for initiation and propagation of cracks in brittle solids	International Journal of Solids and Structures	2018	331	王允腾	周小平	重庆大学
12	The modeling of crack propagation and coalescence in rocks under uniaxial compression using the novel conjugated bond-based peridynamics	International Journal of Mechanical Sciences	2017	231	王允腾	周小平	重庆大学
13	Stability of peridynamic correspondence material models and their particle discretizations	Computer Methods in Applied Mechanics and Engineering	2017	223	Silling S A		圣地亚国家实验室
14	Dual-horizon peridynamics: a stable solution to varying horizons	Computer Methods in Applied Mechanics and Engineering	2017	574	任辉龙	庄晓莹、Rabczuk Timon	孙德胜大学
15	Dual-horizon peridynamics	International Journal for Numerical Methods in Engineering	2016	608	任辉龙	Rabczuk Timon、庄晓莹	孙德胜大学、同济大学
16	Numerical simulation of propagation and coalescence of flaws in rock materials under compressive loads using the extended non-ordinary state-based peridynamics	Engineering Fracture Mechanics	2016	303	王允腾	周小平	重庆大学
17	Convergence studies in meshfree peridynamic simulations	Computers and Mathematics With Applications	2016	96	Seleson Pablo		橡树岭国家实验室
18	Peridynamic differential operator and its applications	Computer Methods in Applied Mechanics and Engineering	2016	263	Madenci Erdogan		亚利桑那大学
19	Ordinary state-based peridynamics for plastic deformation according to von Mises yield criteria with isotropic hardening	Journal of the Mechanics and Physics of Solids	2016	260	Madenci Erdogan		亚利桑那大学
20	At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: an underestimated and still topical contribution of Gabrio Piola	Mathematics and Mechanics of Solids	2015	319	Dell’lsola Francesco	Placidi Luca	罗马大学
21	Why do cracks branch? A peridynamic investigation of dynamic brittle fracture	International Journal of Fracture	2015	232	Bobaru Florin		内布拉斯加林肯大学
22	Peridynamic modeling of pitting corrosion damage	Journal of the Mechanics and Physics of Solids	2015	220	陈子光	Bobaru Florin	内布拉斯加林肯大学
23	An improved peridynamic approach for quasi-static elastic deformation and brittle fracture analysis	International Journal of Mechanical Sciences	2015	223	黄丹	乔丕忠	上海交通大学

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表 3 2013—2025年近场动力学文献的高频关键词

Table 3. High frequency keywords in peridynamics literatures from 2013 to 2025

序号	年份	关键词	词频	研究热点内容
1	2013	peridynamic model	125	近场动力学本构模型和数值模型的建立与发展
2	2013	convergence	144	近场动力学的收敛性问题
3	2013	adaptive refinement	91	近场动力学的非均匀离散与自适应分析
4	2013	nonlocal diffusion	74	积分型的非局部扩散模型研究
5	2014	propagation，deformation，elasticity，damage	328，327，252，229	近场动力学分析变形和损伤开裂问题
6	2015	growth，fracture toughness	161，41	裂纹扩展的近场动力学研究
7	2016	meshfree method	138	近场动力学的无网格数值解法
8	2016	non-ordinary	54	非常规态型近场动力学模型研究
9	2016	composites	37	复合材料破坏分析的近场动力学研究
10	2017	state-based peridynamics	164	态型近场动力学模型进一步受到关注
11	2017	brittle fracture	85	近场动力学在脆性断裂中的优势得到凸显
12	2018	coalescence	89	裂纹演化特征分析
13	2018	stability	83	非常规态型近场动力学的数值稳定性问题
14	2018	dual horizon peridynamics	22	对偶作用域近场动力学模型
15	2019	peridynamic differential operator	73	近场动力学微分算子
16	2019	concrete	62	混凝土材料的近场动力学建模分析
17	2019	fragmentation	48	剧烈损伤破碎问题的近场动力学研究
18	2019	pitting corrosion	30	点腐蚀损伤的近场动力学研究
19	2020	flow	59	流体流动和扩散传输问题研究
20	2020	microstructure	32	考虑微观结构的建模研究
21	2021	criteria	25	近场动力学模型中的断键准则等精细化研究
22	2021	SPH	14	近场动力学与光滑粒子流体动力学方法研究
23	2022	porous media，homogenization	20，11	多孔介质、具有微结构材料的均匀化建模方法
24	2023	plastic/large deformation	12，11	弹塑性、大变形问题成为近场动力学的新生长点
25	2024	flows，fluid，heat conduction，heat transfer，high temperature，natural convection	-	热力耦合为代表的多物理场耦合问题成为研究焦点
26	2025	cohesive elements，computational efficiency，finite volume method，heterogeneous materials，nonlocal elasticity，machine learning	-	研究维度更加多元化、热点领域尚未清晰可见

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