{
  "abstract": "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",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.18364",
  "author_total": 9,
  "authors": [
    {
      "name": "Abdulla Alhembar"
    },
    {
      "name": "Fabrizio Scarpa"
    },
    {
      "name": "Chrystel D. L. Remillat"
    },
    {
      "name": "Rodrigo J. da Silva"
    },
    {
      "name": "Ross Anderson"
    },
    {
      "name": "Ludovico Cademartiri"
    },
    {
      "name": "Abderrezak Bezazi"
    },
    {
      "name": "James P. K. Armstrong"
    },
    {
      "name": "Adam W. Perriman"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5kp18hh908d7f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.18364",
  "fulltext_url": null,
  "id": "5kp18hh908d7f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.18364",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.app-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.18364",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5kp18hh908d7f.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:01Z",
      "native_id": "2609.18364",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.18364"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.app-ph",
      "subfield": "applied-instrumentation"
    }
  ],
  "title": "A Scaling Framework for Mechanical Memristance: Dimensionless Metrics and Material Design Maps",
  "title_text": "A Scaling Framework for Mechanical Memristance: Dimensionless Metrics and Material Design Maps",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:01Z",
  "url": "https://research.draconitic.com/paper/5kp18hh908d7f",
  "venue": "arXiv",
  "versions": []
}