Asymptotic and numerical modelling of faults and thermal striping in materials with a micro-structure (linked proposal with I.S. Jones, LJMU)

具有微结构的材料中的故障和热条纹的渐近数值模拟（与 LJMU 的 I.S. Jones 的相关提案）

• 批准号: EP/H018514/1
• 负责人: Alexander Movchan
• 金额: $ 14.1万
• 依托单位: University of Liverpool
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2010
• 资助国家: 英国
• 起止时间: 2010 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FH018514%2F1
• 关键词: Asymptotic; numerical; modelling; faults; thermal

The project incorporates two types of mathematical models for dynamic macro-cracks in structured media. Surface breaking cracks of finite size and subjected to a dynamic loading generated by a time-harmonic oscillation of temperature will be considered. This is related to the phenomenon of thermal striping which occurs, for example, within the cooling contours of nuclear reactors or in the mixing zones within piping systems due to the appearance of surface breaking cracks. The depth of such cracks is greatly dependent on the frequency of the external thermal oscillations. The first type of structures will involve truss-like lattices where flexural deformation can be neglected. The second type refers to macro-cracks in frame-like elastic structures incorporating bending of elastic links around the macro-crack. Particular attention will be paid to the effect of interaction between the macro-crack and micro defects modelled as imperfect spring-like junctions within the lattice.

该项目包括两种类型的结构介质中的动态宏观裂纹的数学模型。将考虑有限尺寸的表面破裂裂纹，并受到由温度的时谐振荡产生的动态载荷。这与例如在核反应堆的冷却轮廓内或在管道系统内的混合区中由于表面破裂裂纹的出现而发生的热条纹现象有关。这种裂纹的深度在很大程度上取决于外部热振荡的频率。第一种类型的结构将涉及桁架状网格，其中弯曲变形可以忽略不计。第二类是指框架状弹性结构中的宏观裂纹，该结构包括宏观裂纹周围的弹性连接件的弯曲。将特别注意宏观裂纹和微观缺陷之间的相互作用的效果建模为不完美的弹簧状结内的晶格。

项目成果

Dynamic response and localization in strongly damaged waveguides

• DOI: 10.1098/rspa.2014.0136
• 发表时间: 2014-07-08
• 期刊: PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
• 影响因子: 3.5
• 作者: Carta, G.;Brun, M.;Movchan, A. B.
• 通讯作者: Movchan, A. B.

Crack propagation induced by thermal shocks in structured media

• DOI: 10.1016/j.ijsolstr.2013.05.001
• 发表时间: 2013-08-15
• 期刊: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
• 影响因子: 3.6
• 作者: Carta, G.;Jones, I. S.;Movchan, A. B.
• 通讯作者: Movchan, A. B.

Phononic Band Gap Systems in Structural Mechanics: Finite Slender Elastic Structures and Infinite Periodic Waveguides

• DOI: 10.1115/1.4023819
• 发表时间: 2013-08
• 期刊: Journal of Vibration and Acoustics
• 作者: M. Brun;A. Movchan;I. Jones

Dispersion properties of vortex-type monatomic lattices

• DOI: 10.1016/j.ijsolstr.2014.02.026
• 发表时间: 2014-06-01
• 期刊: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
• 影响因子: 3.6
• 作者: Carta, G.;Brun, M.;Jones, I. S.
• 通讯作者: Jones, I. S.

Making Waves Round a Structured Cloak: Lattices, Negative Refraction and Fringes

在结构化斗篷周围制造波浪：格子、负折射和条纹

• DOI: 10.48550/arxiv.1304.1365
• 发表时间: 2013
• 作者: Colquitt D