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The most profound effect of disorder on the elastic response of solids is the nonaffinity of local displacements whereby the atoms (particles, network junctions) do not simply follow the macroscopic strain, as they do in perfect crystals,…

Soft Condensed Matter · Physics 2012-01-12 Alessio Zaccone , Jamie R. Blundell , Eugene M. Terentjev

We investigate the interplay between pre-stress and mechanical properties in random elastic networks. To do this in a controlled fashion, we introduce an algorithm for creating random freestanding frames that support exactly one state of…

Disordered Systems and Neural Networks · Physics 2019-02-20 Anwesha Bose , Mathijs F. J. Vermeulen , Cornelis Storm , Wouter G. Ellenbroek

The response of driven frustrated media stems from interacting hysteretic elements. We derive explicit mappings from networks of hysteretic springs to their abstract representation as interacting hysterons. These maps reveal how the…

Soft Condensed Matter · Physics 2025-05-08 Dor Shohat , Martin van Hecke

We aim to identify the control principles governing the adaptable formation of non-equilibrium structures in actomyosin networks. We build a phenomenological model and predict that biasing the energy dissipated by molecular motors should…

Living tissues show an extraordinary adaptiveness to strain, which is crucial for their proper biological functioning. The physical origin of this mechanical behaviour has been widely investigated using reconstituted networks of collagen…

Soft Condensed Matter · Physics 2019-02-25 Federica Burla , Justin Tauber , Simone Dussi , Jasper van der Gucht , Gijsje H. Koenderink

Evolution in time-varying environments naturally leads to adaptable biological systems that can easily switch functionalities. Advances in the synthesis of environmentally-responsive materials therefore open up the possibility of creating a…

Disordered spatial networks describe structures and interactions across multiple length scales. The scattering and interference of waves within these networks result in structural phase transitions, localization, diffusion, and band gaps.…

Disordered Systems and Neural Networks · Physics 2026-05-07 Florin Hemmann , Vincent Glauser , Ullrich Steiner , Matthias Saba

Fibrous networks are ideal functional materials since they provide mechanical rigidity at low weight. Such structures are omnipresent in natural biomaterials from cells to tissues, as well as in man-made materials from polymeric composites…

The modulus of a rigid network of harmonic springs depends on the sum of the energies in each of the bonds due to the applied distortion: compression in the case of the bulk modulus, $B$, or shear in the case of the shear modulus,…

Soft Condensed Matter · Physics 2018-06-13 Daniel Hexner , Andrea J. Liu , Sidney R. Nagel

Despite the significant advances in identifying the driver nodes and energy requiring in network control, a framework that incorporates more complicated dynamics remains challenging. Here, we consider the conformity behavior into network…

Physics and Society · Physics 2022-01-26 Zu-Yu Qian , Cheng Yuan , Jie Zhou , Shi-Ming Chen , Sen Nie

We suggest a new perspective of research towards understanding the relations between structure and dynamics of a complex network: Can we design a network, e.g. by modifying the features of units or interactions, such that it exhibits a…

Neurons and Cognition · Quantitative Biology 2009-11-13 Raoul-Martin Memmesheimer , Marc Timme

We contrast the distinct frameworks of materials design and physical learning in creating elastic networks with desired stable states. In design, the desired states are specified in advance and material parameters can be optimized on a…

Soft Condensed Matter · Physics 2020-09-02 Menachem Stern , Matthew B. Pinson , Arvind Murugan

We consider the dynamics of a reaction-diffusion system on a multigraph. The species share the same set of nodes but can access different links to explore the embedding spatial support. By acting on the topology of the networks we can…

Statistical Mechanics · Physics 2016-12-21 Malbor Asllani , Timoteo Carletti , Duccio Fanelli

Analyzing nonlinear conformational relaxation dynamics in elastic networks corresponding to two classical motor proteins, we find that they respond by well-defined internal mechanical motions to various initial deformations and that these…

Biomolecules · Quantitative Biology 2007-06-13 Yuichi Togashi , Alexander S. Mikhailov

We propose a novel model-based approach for constructing optimal designs with complex blocking structures and network effects, for application in agricultural field experiments. The potential interference among treatments applied to…

Methodology · Statistics 2021-08-25 Vasiliki Koutra , Steven G. Gilmour , Ben M. Parker , Andrew Mead

We present a model for disordered 3D fiber networks to study their linear and nonlinear elasticity over a wide range of network densities and fiber lengths. In contrast to previous 2D models, these 3D networks with binary cross-links are…

Soft Condensed Matter · Physics 2015-05-30 C. P. Broedersz , M. Sheinman , F. C. MacKintosh

Collagen is the main structural and load-bearing element of various connective tissues, where it forms the extracellular matrix that supports cells. It has long been known that collagenous tissues exhibit a highly nonlinear stress-strain…

Each element in tensioned structural networks -- such as tensegrity, architectural fabrics, or medical braces/meshes -- requires a specific tension level to achieve and maintain the desired shape, stability, and compliance. These structures…

Graphics · Computer Science 2025-09-09 Thijs Masmeijer , Caleb Swain , Jeff Hill , Ed Habtour

Shape-morphing networks of mesoscale filaments are a common hierarchical feature in biology and hold significant potential for a range of technological applications, from micro-muscles to shape-morphing optical devices. Here, we demonstrate…

Soft electronics have recently gathered considerable interest thanks to their bio-mechanical compatibility. An important feature of such deformable conductors is their electrical response to strain. While development of stretchable…

Soft Condensed Matter · Physics 2025-11-14 Louis Martin-Monier , Pierre-Luc Piveteau , Fabien Sorin