Response evolution of mechanical metamaterials under architectural transformations

  title={Response evolution of mechanical metamaterials under architectural transformations},
  author={Anne S. Meeussen and Erdal C. Oğuz and Martin van Hecke and Yair Shokef},
  journal={New Journal of Physics},
Architectural transformations play a key role in the evolution of complex systems, from design algorithms for metamaterials to flow and plasticity of disordered media. Here, we develop a general framework for the evolution of the linear mechanical response of network structures under discrete architectural transformations via sequential removal and addition of elastic elements. We focus on a class of spatially complex metamaterials, consisting of triangular building blocks. Rotations of these… 
Topological Memory and Hysteresis in Ice-like Mechanical Metamaterials
Intentionally incorporating frustration into mechanical metamaterials may enable complex functionalities. Within similar engineered magnetic systems, known as artificial spin ice, frustration
Topological defects steer stresses in two- and three-dimensional combinatorial mechanical metamaterials.
Mechanical metamaterials present a promising platform for seemingly impossible mechanics. They often require frustration of their elementary building blocks, yet a comprehensive understanding of its
Topology Restricts Quasidegeneracy in Sheared Square Colloidal Ice.
This work combines experiments, theory, and numerical simulations to demonstrate that sheared square colloidal ice partially recovers the ground-state degeneracy for a wide range of field strengths and lattice shear angles.
Topologically protected steady cycles in an icelike mechanical metamaterial
Carl Merrigan ,1,* Cristiano Nisoli ,2 and Yair Shokef 1,3,4 1School of Mechanical Engineering, Tel Aviv University, Tel Aviv 69978, Israel 2Theoretical Division, Los Alamos National Laboratory, Los
Disorder, Multistability, and Mechanical Memory in an Ordered Metamaterial
Carl Merrigan,1, ∗ Dor Shohat,2, ∗ Chaviva Sirote,3, ∗ Yoav Lahini,2, 4 Cristiano Nisoli,5 and Yair Shokef1, 4, 6, † School of Mechanical Engineering, Tel Aviv University, Tel Aviv 69978, Israel
Putting a spin on metamaterials: Mechanical incompatibility as magnetic frustration
Ben Pisanty, ∗ Erdal C. Oğuz, 3, 4, † Cristiano Nisoli, ‡ and Yair Shokef 4, 6, § School of Phyics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel School of Mechanical Engineering, Tel
Emergent Disorder and Mechanical Memory in Periodic Metamaterials
Ordered mechanical systems typically have one or only a few stable rest configurations, and hence are not considered useful for encoding memory. Multistable and history-dependent responses usually


Selective buckling via states of self-stress in topological metamaterials
A novel metamaterial is demonstrated in which small structural variations single out regions that buckle selectively under external stresses, which are at first glance indistinguishable from the rest of the structure.
Topological defects produce exotic mechanics in complex metamaterials
The basic tenet of metamaterials is that the architecture controls the physics 1 – 12 . So far, most studies have considered defect-free architectures. However, defects, and particularly topological
Topological kinematics of origami metamaterials
A variety of electronic phases in solid-state systems can be understood by abstracting away microscopic details and refocusing on how Fermi surface topology interacts with band structure to define
Topological Mechanics of Origami and Kirigami.
A recent connection between spring networks and quantum topological states is exploited to design origami with localized folding motions at boundaries and it is demonstrated how to generalize these topological design principles to two dimensions.
Designing allostery-inspired response in mechanical networks
It is shown that removal of a small number of bonds in a random elastic network can dramatically change its mechanical response, and long-range coupled mechanical responses are similarly easy to achieve in disordered networks.
Stress Response of Granular Systems
A framework for stress response in two dimensional granular media, with and without friction, that respects vector force balance at the microscopic level is developed and it is shown that this naturally leads to spatial localization of forces.
Complex ordered patterns in mechanical instability induced geometrically frustrated triangular cellular structures.
It is found that buckling induces complex ordered patterns which can be tuned by controlling the porosity of the structures, and plays a crucial role in the generation of ordered states in this frustrated system.
A three-dimensional actuated origami-inspired transformable metamaterial with multiple degrees of freedom
This work shows both analytically and experimentally that the transformable metamaterial has three degrees of freedom, which can be actively deformed into numerous specific shapes through embedded actuation, highlighting a robust strategy for the design of reconfigurable devices over a wide range of length scales.
Using origami design principles to fold reprogrammable mechanical metamaterials
Working with the Miura-ori tessellation, it is found that each unit cell of this crease pattern is mechanically bistable, and by switching between states, the compressive modulus of the overall structure can be rationally and reversibly tuned.
Linking microscopic and macroscopic response in disordered solids.
It is shown that L_{i} is useful for understanding many aspects of the mechanical response of the entire system and allows an efficient computation of how the removal of any bond changes the global properties such as the bulk and shear moduli.