Refined elastic membrane models with new small-scale features

具有新的小尺度特征的精制弹性膜模型

• 批准号: RGPIN-2016-03636
• 负责人: Ru, Chongqing
• 金额: $ 2.11万
• 依托单位: University of Alberta
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2020
• 资助国家: 加拿大
• 起止时间: 2020-01-01 至 2021-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=708594
• 关键词: Refined; elastic; membrane; models; new

Refined elastic membrane models with new small-scale features Exciting research challenges and opportunities have recently been raised in science and technology of small scale membrane materials including MEMS (micro-electromechanical systems)/NEMS (nano-electromechanical systems), bio-membranes, and atom-thick graphene monolayers. Here “membranes” are defined as thin film materials whose bending rigidity is low but yet plays an essential role in their mechanical behavior. The new research opportunities have stimulated a resurgence of research on mechanics of small-scale membrane materials. Although traditional solid mechanics models (such as elastic plate/membrane models) have been widely applied to study mechanical behavior of such small-scale elastic membranes, it is now widely recognized that traditional models cannot capture some key mechanics phenomena of such materials due to their new small-scale features of microstructures and forces. This has raised a major challenge to the solid mechanics community. Different than classical elastic membranes (such as metallic or rubber films), some small-scale elastic membranes and atom-thick monolayers are characterized by a few new features such as 1) two independent bending rigidities caused by non-continuum or inhomogeneous microstructure in thickness direction; 2) significant surface stress and surface elasticity effects; 3) extremely low bending rigidity and the associated large deflection and nonlinear curvature. Based on the present applicant's research expertise on surface elasticity, elastic membranes, bio-membrane shells and graphene mechanics, the present proposal aims to develop new refined elastic models for small-scale membrane materials and atom-thick monolayer membranes, with particular interest in exploring the implications of the above-mentioned new small-scale features. The proposed research could improve our understanding and modeling of mechanical behavior of small-scale membrane materials and make a significant impact on the small-scale solid mechanics and its applications to micro/nano membrane materials of current and future technical importance. The proposal will contribute to building an influential Canadian research group in the key research areas, and to make a significant contribution to the training of a new generation of engineers in small-scale mechanical engineering, to meet the anticipated needs of Canada in the near future.

具有新的小尺度特征的精细弹性膜模型 近年来，在包括MEMS（微机电系统）/NEMS（纳米机电系统）、生物膜和原子厚石墨烯单层的小规模膜材料的科学和技术中提出了令人兴奋的研究挑战和机遇。在这里，“膜”被定义为薄膜材料，其弯曲刚度低，但在其机械行为中起着重要作用。新的研究机会刺激了对小尺度膜材料力学的研究的复苏。虽然传统的固体力学模型（如弹性板/膜模型）已被广泛应用于研究此类小尺度弹性膜的力学行为，但由于其微观结构和力的新的小尺度特征，传统模型已不能捕捉此类材料的一些关键力学现象。这对固体力学界提出了重大挑战。 与经典的弹性膜（如金属膜或橡胶膜）不同，一些小尺度弹性膜和原子厚单分子膜具有一些新的特征，如 1)由厚度方向的非连续或非均匀组织引起的两个独立的弯曲刚度; 2)显著的表面应力和表面弹性效应; 3)极低的抗弯刚度以及相关的大挠度和非线性曲率。 基于本申请人在表面弹性、弹性膜、生物膜壳和石墨烯力学方面的研究专长，本提案旨在开发用于小尺度膜材料和原子厚单层膜的新的精细弹性模型，特别感兴趣的是探索上述新的小尺度特征的含义。该研究可以提高我们对小尺度膜材料力学行为的理解和建模，并对小尺度固体力学及其在当前和未来技术重要性的微/纳米膜材料中的应用产生重大影响。该提案将有助于在关键研究领域建立一个有影响力的加拿大研究小组，并为培养新一代小型机械工程工程师做出重大贡献，以满足加拿大在不久的将来的预期需求。