The role of inclusions in thin functionalized elastic or viscoelastic sheets, films, and membranes

内含物在薄的功能化弹性或粘弹性片材、薄膜和膜中的作用

• 批准号: 413993436
• 负责人: Professor Dr. Andreas Menzel
• 金额: --
• 依托单位: Professur Theorie der weichen Materie / Biophysik
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2019
• 资助国家: 德国
• 起止时间: 2018-12-31 至 2023-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/413993436?language=en
• 关键词: role; inclusions; thin; functionalized; elastic

One benefit of reinforcing elastic materials by fibers is that the overall dimension of an item can be reduced due to the increased mechanical stiffness. In extreme cases, bulky components may be replaced by thin membranes, films, or sheets. Our long-term goal is to develop theoretical-analytical tools and methods to readily and effectively describe such thin elastic composite materials. As an initial step in this direction, we here consider the role of rigid particulate inclusions in thin elastic sheets. First, the mutual interactions between the inclusions via deformations of the elastic environment and their influence on the overall behavior are described for different surface conditions of the membrane. To allow for a later holistic and adjustable characterization, tools for various different situations are then formulated. Besides the pure role of static effects of elasticity, we investigate dynamic viscoelasticity, thermal and thermophoretic effects when inclusions are heated from outside, as well as related actuation. Elements of adsorption and binding to a membrane together with the resulting bending shall likewise be considered. While, initially, we need to confine ourselves to flat and linearly elastic membranes, also nonlinear elasticity and curved membranes shall be addressed afterwards. The described functionalization by particulate inclusions already promises a broad range of tailored applications. Examples may extend to tuned loudspeaker diaphragms, addressable membranes for on-demand drug release, or thin actuation devices. In a wider context, our results will support, for example, the interpretation of data obtained by AFM (atomic force microscopy) measurements and be relevant in the field of biological membrane engineering. Building on the present results, our long-term objective is the characterization of fiber-reinforced thin elastic sheets and membranes.

通过纤维增强弹性材料的一个益处是，由于增加的机械刚度，可以减小物品的总体尺寸。在极端情况下，大体积的组件可以由薄膜、薄膜或片材代替。我们的长期目标是开发理论分析工具和方法，以方便有效地描述这种薄弹性复合材料。作为在这个方向上的第一步，我们在这里考虑的刚性颗粒夹杂物在薄弹性片材的作用。首先，夹杂物之间的相互作用，通过变形的弹性环境和它们对整体行为的影响被描述为不同的表面条件的膜。为了允许以后的整体和可调整的表征，然后制定各种不同情况的工具。除了纯粹的静态作用的弹性，我们调查动态粘弹性，热和热泳的影响时，夹杂物从外面加热，以及相关的驱动。同样应考虑吸附和结合到膜上的元素以及由此产生的弯曲。虽然，最初，我们需要限制自己的平面和线性弹性膜，也非线性弹性和弯曲的膜应解决后。所描述的通过颗粒夹杂物的功能化已经承诺了广泛的定制应用。例子可以扩展到调谐扬声器膜片、用于按需药物释放的可寻址膜或薄致动装置。在更广泛的背景下，我们的研究结果将支持，例如，通过AFM（原子力显微镜）测量获得的数据的解释和相关的生物膜工程领域。基于目前的结果，我们的长期目标是纤维增强薄弹性片材和膜的表征。