Prestrain-induced contraction in one-dimensional random elastic chains



Adam, I ORCID: 0000-0002-1455-3904, Bagnoli, F ORCID: 0000-0002-6293-0305, Fanelli, D, Mahadevan, L and Paoletti, P ORCID: 0000-0001-6131-0377
(2022) Prestrain-induced contraction in one-dimensional random elastic chains Physical Review E, 105 (6). 065002-. ISSN 2470-0045, 2470-0053

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Abstract

Prestrained elastic networks arise in a number of biological and technological systems ranging from the cytoskeleton of cells to tensegrity structures. Motivated by this observation, we here consider a minimal model in one dimension to set the stage for understanding the response of such networks as a function of the prestrain. To this end we consider a chain [one-dimensional (1D) network] of elastic springs upon which a random, zero mean, finite variance prestrain is imposed. Numerical simulations and analytical predictions quantify the magnitude of the contraction as a function of the variance of the prestrain, and show that the chain always shrinks. To test these predictions, we vary the topology of the chain, consider more complex connectivity and show that our results are relatively robust to these changes.

Item Type: Article
Uncontrolled Keywords: 51 Physical Sciences, 49 Mathematical Sciences, 5103 Classical Physics, Generic health relevance
Divisions: Faculty of Science & Engineering > School of Engineering
Depositing User: Symplectic Admin
Date Deposited: 24 May 2022 07:29
Last Modified: 24 Jan 2026 03:40
DOI: 10.1103/PhysRevE.105.065002
Related Websites:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3155380
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