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Symmetric snap-through buckling, although both theoretically achievable and practically advantageous, has remained rare in bistable systems, with most studies favoring asymmetric snapping due to its lower energy barrier. Previous observations of symmetric snapping have been limited to high loading rates. In this work, we present a universal strategy to achieve symmetric snapping under quasi-static conditions by designing magnetization (M)-interface patterns that effectively suppress asymmetric modes. A simplified theoretical model demonstrates that this behavior results from the interplay between pitchfork and saddle-node bifurcations, with predictions validated through simulations and experiments using hard magnetic elastomers. Resisting forces generated by multiple M-interfaces counteract asymmetric snapping, enabling distinct symmetric configurations. Extending this approach to higher-order symmetric snapping, we uncover a quasi-linear scaling law between critical fields and snapping order. These findings establish a robust framework for designing snapping systems with enhanced control and predictability, as demonstrated by a mechanical-magnetic snapping switch, paving the way for advanced applications in precision engineering and magnetic-mechanical actuation.
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http://dx.doi.org/10.1126/sciadv.adw1259 | DOI Listing |
Phys Rev E
April 2025
Mathematical Institute, University of Oxford, Woodstock Road, Oxford OX2 6GG, United Kingdom.
A symmetrically buckled arch whose boundaries are clamped at an angle has two stable equilibria: an inverted and a natural state. When the distance between the clamps is increased (i.e.
View Article and Find Full Text PDFSci Adv
May 2025
Applied Mechanics Laboratory, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China.
Symmetric snap-through buckling, although both theoretically achievable and practically advantageous, has remained rare in bistable systems, with most studies favoring asymmetric snapping due to its lower energy barrier. Previous observations of symmetric snapping have been limited to high loading rates. In this work, we present a universal strategy to achieve symmetric snapping under quasi-static conditions by designing magnetization (M)-interface patterns that effectively suppress asymmetric modes.
View Article and Find Full Text PDFPhys Rev Lett
June 2024
Mathematical Institute, University of Oxford, Woodstock Rd, Oxford OX2 6GG, United Kingdom.
A snap-through bifurcation occurs when a bistable structure loses one of its stable states and moves rapidly to the remaining state. For example, a buckled arch with symmetrically clamped ends can snap between an inverted and a natural state as the ends are released. A standard linear stability analysis suggests that the arch becomes unstable to asymmetric perturbations.
View Article and Find Full Text PDFSci Adv
September 2023
Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, NC 27695, USA.
Autonomous maze navigation is appealing yet challenging in soft robotics for exploring priori unknown unstructured environments, as it often requires human-like brain that integrates onboard power, sensors, and control for computational intelligence. Here, we report harnessing both geometric and materials intelligence in liquid crystal elastomer-based self-rolling robots for autonomous escaping from complex multichannel mazes without the need for human-like brain. The soft robot powered by environmental thermal energy has asymmetric geometry with hybrid twisted and helical shapes on two ends.
View Article and Find Full Text PDFPhys Rev E
January 2023
Department of Mathematics, University of Utah, Salt Lake City, Utah 84112, USA.
Diffusion through semipermeable interfaces has a wide range of applications, ranging from molecular transport through biological membranes to reverse osmosis for water purification using artificial membranes. At the single-particle level, one-dimensional diffusion through a barrier with constant permeability κ_{0} can be modeled in terms of so-called snapping out Brownian motion (BM). The latter sews together successive rounds of partially reflected BMs that are restricted to either the left or right of the barrier.
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