A Theoretical Study on the Transient Morphing of Linear Poroelastic Plates

Author:

Andrini Dario1,Lucantonio Alessandro2,Noselli Giovanni1

Affiliation:

1. SISSA–International School for Advanced Studies, 34136 Trieste, Italy

2. Department of Excellence in Robotics & AI, The BioRobotics Institute, Scuola Superiore Sant’Anna, 56127 Pisa, Italy

Abstract

Abstract Based on their shape-shifting capabilities, soft active materials have enabled new possibilities for the engineering of sensing and actuation devices. While the relation between active strains and emergent equilibrium shapes has been fully characterized, the transient morphing of thin structures is a rather unexplored topic. Here, we focus on polymer gel plates and derive a reduced linear model to study their time-dependent response to changes in the fluid environment. We show that independent control of stretching and bending deformations in stress-free conditions allows to realize spherical shapes with prescribed geometry of the mid-plane. Furthermore, we demonstrate that tensile (compressive) membrane stresses delay (accelerate) swelling-induced shape transitions compared to the stress-free evolution. We believe that these effects should be considered for the accurate design of smart systems and may contribute to explain the complexity of natural shapes.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A coordinate-free guide to the mechanics of thin shells;Mechanics of Materials;2024-05

2. Deformation of corrugated hydrogel panel subject to chemo-mechanical coupled loading;International Journal of Solids and Structures;2023-08

3. Optimal design of planar shapes with active materials;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2022-10

4. The Föppl–von Kármán equations of elastic plates with initial stress;Royal Society Open Science;2022-05

5. Transient shape morphing of active gel plates: geometry and physics;Soft Matter;2022

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