Embracing nonlinearity and geometry: a dimensional analysis guided design of shock absorbing materials

Abstract Design of shock absorbers requires a delicate balance between mechanical properties and geometric design, allowing them to be compressible yet strong enough to withstand crushing loads. Here, we present a unified framework for designing compact and lightweight shock absorbers by employing a...

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Main Authors: Abhishek Gupta, Komal Chawla, Bhanugoban Maheswaran, Daniyar Syrlybayev, Ramathasan Thevamaran
Format: Article
Language:English
Published: Nature Portfolio 2025-08-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-025-60300-8
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author Abhishek Gupta
Komal Chawla
Bhanugoban Maheswaran
Daniyar Syrlybayev
Ramathasan Thevamaran
author_facet Abhishek Gupta
Komal Chawla
Bhanugoban Maheswaran
Daniyar Syrlybayev
Ramathasan Thevamaran
author_sort Abhishek Gupta
collection DOAJ
description Abstract Design of shock absorbers requires a delicate balance between mechanical properties and geometric design, allowing them to be compressible yet strong enough to withstand crushing loads. Here, we present a unified framework for designing compact and lightweight shock absorbers by employing a streamlined kinematic model and dimensional analysis. We derive geometric constraints on the thickness and cross-sectional area of a protective foam with a given stress-strain response to ensure that acceleration and compressive strain remain within critical limits. Additionally, we identify the optimal mechanical properties that yield the most compact and lightweight protective foam pads for absorbing impact energy. Contrary to common belief, we demonstrate that foams with a nonlinear stress-strain response can effectively achieve thin and lightweight protective pads, particularly when a large cross-sectional area is required. Guided by this design framework, we introduce optimal architected designs of vertically aligned carbon nanotube (VACNT) foams—a low-density hierarchical material system.
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institution Kabale University
issn 2041-1723
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publishDate 2025-08-01
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record_format Article
series Nature Communications
spelling doaj-art-47de4b2e7e7d49b9851eb8bd6072f74a2025-08-20T03:46:17ZengNature PortfolioNature Communications2041-17232025-08-0116111510.1038/s41467-025-60300-8Embracing nonlinearity and geometry: a dimensional analysis guided design of shock absorbing materialsAbhishek Gupta0Komal Chawla1Bhanugoban Maheswaran2Daniyar Syrlybayev3Ramathasan Thevamaran4Department of Mechanical Engineering, University of Wisconsin-MadisonDepartment of Mechanical Engineering, University of Wisconsin-MadisonDepartment of Mechanical Engineering, University of Wisconsin-MadisonDepartment of Mechanical Engineering, University of Wisconsin-MadisonDepartment of Mechanical Engineering, University of Wisconsin-MadisonAbstract Design of shock absorbers requires a delicate balance between mechanical properties and geometric design, allowing them to be compressible yet strong enough to withstand crushing loads. Here, we present a unified framework for designing compact and lightweight shock absorbers by employing a streamlined kinematic model and dimensional analysis. We derive geometric constraints on the thickness and cross-sectional area of a protective foam with a given stress-strain response to ensure that acceleration and compressive strain remain within critical limits. Additionally, we identify the optimal mechanical properties that yield the most compact and lightweight protective foam pads for absorbing impact energy. Contrary to common belief, we demonstrate that foams with a nonlinear stress-strain response can effectively achieve thin and lightweight protective pads, particularly when a large cross-sectional area is required. Guided by this design framework, we introduce optimal architected designs of vertically aligned carbon nanotube (VACNT) foams—a low-density hierarchical material system.https://doi.org/10.1038/s41467-025-60300-8
spellingShingle Abhishek Gupta
Komal Chawla
Bhanugoban Maheswaran
Daniyar Syrlybayev
Ramathasan Thevamaran
Embracing nonlinearity and geometry: a dimensional analysis guided design of shock absorbing materials
Nature Communications
title Embracing nonlinearity and geometry: a dimensional analysis guided design of shock absorbing materials
title_full Embracing nonlinearity and geometry: a dimensional analysis guided design of shock absorbing materials
title_fullStr Embracing nonlinearity and geometry: a dimensional analysis guided design of shock absorbing materials
title_full_unstemmed Embracing nonlinearity and geometry: a dimensional analysis guided design of shock absorbing materials
title_short Embracing nonlinearity and geometry: a dimensional analysis guided design of shock absorbing materials
title_sort embracing nonlinearity and geometry a dimensional analysis guided design of shock absorbing materials
url https://doi.org/10.1038/s41467-025-60300-8
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AT bhanugobanmaheswaran embracingnonlinearityandgeometryadimensionalanalysisguideddesignofshockabsorbingmaterials
AT daniyarsyrlybayev embracingnonlinearityandgeometryadimensionalanalysisguideddesignofshockabsorbingmaterials
AT ramathasanthevamaran embracingnonlinearityandgeometryadimensionalanalysisguideddesignofshockabsorbingmaterials