197 citations · 816 across the 26 of their papers we have counts for
27 papers
Nonlinear Curvature-Free Periodic Folding in Origami via Symmetry Classification of Linear Modes
Nan Cheng, Leon M Kamp, Yanxin Feng +3
Broadly studied origami crease patterns such as the Miura-ori are capable of rigid folding that maintains their spatial periodicity. However, periodic crease patterns generically r…
Multi-field Return Point Memory
Nathaniel Croce, Hossein Salahshoor, D. Zeb Rocklin
Non-equilibrium systems display memory, a dependence not merely on their present environment but on previously applied fields. Multistable systems such as spin glasses, martensites…
Geometric Mechanics of Thin Periodic Surfaces
Wenqian Sun, Yanxin Feng, Christian D. Santangelo +1
Thin surfaces are ubiquitous in nature, from leaves to cell membranes, and in technology, from paper to corrugated containers. Structural thinness imbues them with flexibility, the…
Rigidity of generic random tensegrity structures
Vishal Sudhakar, William Stephenson, James P. McInerney +1
Many mechanical structures, both engineered and biological, combine heavy rigid elements such as bones and beams with lightweight flexible ones such as cables and membranes. These…
Novel mechanical response of parallelogram-face origami governed by topological characteristics
Yanxin Feng, Andrew Wu, James McInerney +3
Origami principles are used to create strong, lightweight structures with complex mechanical response. However, identifying the fundamental physical principles that determine a she…
Orisometry formalism reveals duality and exotic nonuniform response in origami sheets
Michael Czajkowski, James McInerney, Andrew M. Wu +1
Origami metamaterial design enables drastic qualitative changes in the response properties of a thin sheet via the addition of a repeating pattern of folds based around a rigid fol…
Rigidity percolation in a random tensegrity via analytic graph theory
William Stephenson, Vishal Sudhakar, James McInerney +2
Functional structures from across the engineered and biological world combine rigid elements such as bones and columns with flexible ones such as cables, fibers and membranes. Thes…
Duality and Sheared Analytic Response in Mechanism-Based Metamaterials
Michael Czajkowski, D. Zeb Rocklin
Mechanical metamaterials designed around a zero-energy pathway of deformation, known as a mechanism, have repeatedly challenged the conventional picture of elasticity. However, the…
Locomotion without force, and impulse via dissipation: Robotic swimming in curved space via geometric phase
Shengkai Li, Tianyu Wang, Velin H. Kojouharov +5
Locomotion by shape changes (spermatozoon swimming, snake slithering, bird flapping) or gas expulsion (rocket firing) is assumed to require environmental interaction, due to conser…
Discrete symmetries control mechanical response in parallelogram-based origami
James McInerney, Glaucio H. Paulino, D. Zeb Rocklin
Geometric compatibility constraints dictate the mechanical response of soft systems that can be utilized for the design of mechanical metamaterials such as the negative Poisson rat…
Conformal Elasticity of Mechanism-Based Metamaterials
Michael Czajkowski, Corentin Coulais, Martin van Hecke +1
Deformations of conventional solids are described via elasticity, a classical field theory whose form is constrained by translational and rotational symmetries. However, flexible m…
Topological Invariant and Anomalous Edge Modes of Strongly Nonlinear Systems
Di Zhou, D. Zeb Rocklin, Michael Leamy +1
Despite the extensive studies of topological states, their characterization in strongly nonlinear classical systems has been lacking. In this work, we identify the proper definitio…
Soft topological modes protected by symmetry in rigid mechanical metamaterials
Hridesh Kedia, Anton Souslov, D. Zeb Rocklin
Topological mechanics can realize soft modes in mechanical metamaterials in which the number of degrees of freedom for particle motion is finely balanced by the constraints provide…
Elasticity of colloidal gels: structural heterogeneity, foppy modes, and rigidity
D. Zeb Rocklin, Lilian C. Hsiao, Megan Szakasits +2
Rheological measurements of model colloidal gels reveal that large variations in the shear moduli as colloidal volume-fraction changes are not reflected by simple structural parame…
Correlated rigidity percolation and colloidal gels
Shang Zhang, Leyou Zhang, Mehdi Bouzid +3
Rigidity percolation (RP) occurs when mechanical stability emerges in disordered networks as constraints or components are added. Here we discuss RP with structural correlations, a…
Folding mechanisms at finite temperature
D. Zeb Rocklin, Vincenzo Vitelli, Xiaoming Mao
Folding mechanisms are zero elastic energy motions essential to the deployment of origami, linkages, reconfigurable metamaterials and robotic structures. In this paper, we determin…
Normal form for renormalization groups
Archishman Raju, Colin B. Clement, Lorien X. Hayden +4
The results of the renormalization group are commonly advertised as the existence of power law singularities near critical points. The classic predictions are often violated and lo…
Topology and geometry of spin origami
Krishanu Roychowdhury, D. Zeb Rocklin, Michael J. Lawler
Kagome antiferromagnets are known to be highly frustrated and degenerate when they possess simple, isotropic interactions. We consider the entire class of these magnets when their…
Directional mechanical response in the bulk of topological metamaterials
D. Zeb Rocklin
Mechanical metamaterials are those structures designed to convey force and motion in novel and desirable ways. Recently, Kane and Lubensky showed that lattices at the point of marg…
Fiber networks below the isostatic point: fracture without stress concentration
Leyou Zhang, D. Zeb Rocklin, Leonard M. Sander +1
Crack nucleation is a ubiquitous phenomena during materials failure, because stress focuses on crack tips. It is known that exceptions to this general rule arise in the limit of st…
Transformable topological mechanical metamaterials
D. Zeb Rocklin, Shangnan Zhou, Kai Sun +1
Mechanical metamaterials are engineered materials that gain their remarkable mechanical properties, such as negative Poisson's ratios, negative compressibility, phononic bandgaps,…
Mechanical Weyl Modes in Topological Maxwell Lattices
D. Zeb Rocklin, Bryan Gin-ge Chen, Martin Falk +2
Topological mechanical structures exhibit robust properties protected by topological invariants. In this letter, we study a family of deformed square lattices that display topologi…
Rigidity percolation by next-nearest-neighbor braces on generic and regular isostatic lattices
Leyou Zhang, D. Zeb Rocklin, Bryan Gin-ge Chen +1
We study rigidity percolation transitions in two-dimensional central-force isostatic lattices, including the square and the kagome lattices, as next-nearest-neighbor bonds ("braces…
Directed-polymer systems explored via their quantum analogs: General polymer interactions and their consequences
D. Zeb Rocklin, Paul M. Goldbart
The impact of polymer-polymer interactions of various types on the thermodynamics, structure, and accommodation of topological constraints is addressed for systems comprising many…