On micropolar elastic foundations
On micropolar elastic foundations
复制标题
微极性弹性地基
DOI：
10.1016/j.euromechsol.2024.105277
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发表时间：
2024
期刊：
影响因子：
--
通讯作者：
Athanasiadis A
中科院分区：
文献类型：
--
作者：
Athanasiadis A
异质和结构材料的建模提出了一个重大挑战，需要先进的均质技术。然而，通过应用微极弹性可以大大简化这项任务的复杂性。相反，弹性基础理论被广泛应用于断裂力学和复合材料中分层扩展的分析。本研究的目的是合并这两个框架，增强弹性基础理论，以适应材料表现出微极行为。具体来说，我们提出了一种新的理论，弹性基础的微极材料，采用应力势制定和一个独特的归一化方法。封闭形式的解决方案，推导出的应力和耦合应力反应固有的这种材料，沿着与相关的恢复刚度。所提出的理论的有效性，建立通过验证使用双悬臂梁配置。总结我们的研究，我们阐明了开发的理论的好处和局限性，通过量化已知表现出微极性行为的材料的衍生参数。这种集成的微极弹性的弹性基础理论，不仅提高了我们的理解材料的反应，但也提供了一个通用的框架，在各种工程应用中的非均质材料的分析。
The modelling of heterogeneous and architected materials poses a significant challenge, demanding advanced homogenisation techniques. However, the complexity of this task can be considerably simplified through the application of micropolar elasticity. Conversely, elastic foundation theory is widely employed in fracture mechanics and the analysis of delamination propagation in composite materials. This study aims to amalgamate these two frameworks, enhancing the elastic foundation theory to accommodate materials exhibiting micropolar behaviour. Specifically, we present a novel theory of elastic foundation for micropolar materials, employing stress potentials formulation and a unique normalisation approach. Closed-form solutions are derived for stress and couple stress reactions inherent in such materials, along with the associated restoring stiffness. The validity of the proposed theory is established through verification using the double cantilever beam configuration. Concluding our study, we elucidate the benefits and limitations of the developed theory by quantifying the derived parameters for materials known to exhibit micropolar behaviour. This integration of micropolar elasticity into the elastic foundation theory not only enhances our understanding of material responses but also provides a versatile framework for the analysis of heterogeneous materials in various engineering applications.
影响因子：
3.6
作者：
R. D. Mindlin
通讯作者：
R. D. Mindlin
影响因子：
5.3
作者：
Heide-Jørgensen, Simon;Budzik, Michal K.;Turner, Kevin T.
通讯作者：
Turner, Kevin T.
影响因子：
4.7
作者：
Athanasiadis, E. F. Adrianos;Dias, A. Marcelo;Budzik, K. Michal
通讯作者：
Budzik, K. Michal