发表机构
Khalifa University of Science and Technology; University of Bristol; CERN, The European Organization for Nuclear Research; University of Parma（阿布扎比科技大学; 布里斯托大学; 欧洲核子研究组织（CERN）; 帕尔马大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出分数阶机械忆阻模型及无量纲指标，用于跨材料类别比较记忆依赖耗散，并建立材料设计图谱。
AI 中文摘要
机械忆阻器是一类系统，其耗散响应依赖于通过内部状态演化的历史加载。历史依赖的力和耗散发生在广泛的材料和器件中，包括粘弹性聚合物、形状记忆材料、压电材料、颗粒材料和场响应流体。确定这些响应中哪些允许机械忆阻表示，需要本构测试以及尺度比较。在这项工作中，开发了一个分数阶机械忆阻器模型，并将其转化为无量纲形式，以识别控制记忆依赖耗散的主导参数。该公式导出了一组无量纲组，这些无量纲组表征了记忆依赖耗散、记忆状态尺度和记忆传递。这些量被组合成一个有效的机械忆阻筛选指数 \\(\mathcal{M} = \beta \gamma \mathcal{H}_\alpha(\Omega)\\)，该指数在匹配响应幅度下提供了局部阻尼调制的条件度量，包括本构斜率和参考尺度。随后，为材料类别构建了说明性参数场景，包括形状记忆聚合物、形状记忆合金、水凝胶、纳米纤维素、富含木质素的材料、天然纤维、压电聚合物、压电陶瓷、电流变流体、磁流变流体和颗粒阻尼器。该框架为在所选本构描述中比较记忆依赖阻尼建立了共同基础，并确定了将其应用于候选材料和器件所需的校准。
英文摘要
Mechanical memristors are systems whose dissipative response depends on the history of previous loading through an evolving internal state. History-dependent forces and dissipation occur in a wide range of materials and devices, including viscoelastic polymers, shape-memory materials, piezoelectrics, granular media and field-responsive fluids. Determining which of these responses admits a mechanical-memristor representation requires a constitutive test, as well as a comparison of scales. In this work, a fractional-order mechanical memristor model is developed and cast into a nondimensional form to identify the governing parameters controlling memory-dependent dissipation. The formulation leads to a set of dimensionless groups that characterise dissipation magnitude, memory-state scale and memory transfer. These quantities are combined into an effective mechanical memristance screening index \(\Mh = βγ|\mathcal H_α(Ω)|\), which provides a conditional measure of local damping modulation at matched response amplitude, constitutive slope and reference scales. Illustrative parameter scenarios are then constructed for material classes including shape-memory polymers, shape-memory alloys, hydrogels, nanocellulose, lignin-rich materials, natural fibres, piezoelectric polymers, piezoelectric ceramics, electrorheological fluids, magnetorheological fluids and granular dampers. The framework establishes a common basis for comparing memory-dependent damping within the adopted constitutive description and identifies the calibration required for its application to candidate materials and devices
Comments45 pages, 3 figures
