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In this work, we investigate the forces acting on a flexible fiber dragged through a granular bed. Using discrete element simulations, we observe that, after a sufficiently large displacement, the system reaches a steady state in which both…

Soft Condensed Matter · Physics 2025-11-05 Antonio Pol , Sara Storti , Fabio Gabrieli

We analyse the asymptotic behaviour of a nonlinear mathematical model of cellular proliferation which describes the production of blood cells in the bone marrow. This model takes the form of a system of two maturity structured partial…

Analysis of PDEs · Mathematics 2009-04-17 Mostafa Adimy , Fabien Crauste , Laurent Pujo-Menjouet

Structural defects within amorphous packings of symmetric particles can be characterized using a machine learning approach that incorporates structure functions of radial distances and angular arrangement. This yields a scalar field,…

Soft Condensed Matter · Physics 2019-03-06 Matt Harrington , Andrea J. Liu , Douglas J. Durian

Repetitive loading of bone is associated with microdamage accumulation and material property degradation that may ultimately result in fatigue fracture. Our previous work used continuum damage mechanics (CDM)-based finite element (FE)…

Medical Physics · Physics 2025-04-23 Reza Kakavand , Jonah M. Dimnik , Ifaz T. Haider , W. Brent Edwards

We introduce a theoretical model for the compaction of granular materials by discrete vibrations which is expected to hold when the intensity of vibration is low. The dynamical unit is taken to be clusters of granules that belong to the…

Statistical Mechanics · Physics 2009-10-30 D. A. Head , G. J. Rodgers

Understanding the fracture mechanics of soft solids remains a fundamental challenge due to their complex, nonlinear responses under large deformations. While multiaxial loading is key to probing their mechanical behavior, the role of such…

Soft Condensed Matter · Physics 2025-09-04 Miguel Angel Moreno-Mateos , Simon Wiesheier , Ali Esmaeili , Mokarram Hossain , Paul Steinmann

The purpose of this study was to report numerical validation of a 3D finite element model of contracting muscle. The model was based on continuum theory for fibre-reinforced composite materials. Here we simulated contractions for an…

Quantitative Methods · Quantitative Biology 2015-04-03 Hadi Rahemi , Nilima Nigam , James M. Wakeling

We investigate the gravity driven rapid failure of a granular step composed of non-cohesive steel beads. The step is initially held together with electromagnets, and released when the current is switched off. We visualize the surface and…

Soft Condensed Matter · Physics 2007-05-23 Saloome Siavoshi , Arshad Kudrolli

We investigate the effective properties (conductivity, diffusivity and elastic moduli) of model random composite media derived from Gaussian random fields and overlapping hollow spheres. The morphologies generated in the models exhibit low…

Disordered Systems and Neural Networks · Physics 2009-10-31 Anthony Roberts , Mark Knackstedt

We discuss shape profiles emerging in inhomogeneous growth of squeezed tissues. Two approaches are used simultaneously: i) conformal embedding of two-dimensional domain with hyperbolic metrics into the plane, and ii) a pure energetic…

Soft Condensed Matter · Physics 2015-11-25 Sergei Nechaev , Kirill Polovnikov

The structure of random sphere packings in mechanical equilibrium in prescribed stress states, as studied by molecular dynamics simulations, strongly depends on the assembling procedure. Frictionless packings in the limit of low pressure…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jean-Noel Roux

We have constructed a model for the kinetics of rupture of membranes under tension, applying physical principles relevant to lipid bilayers held together by hydrophobic interactions. The membrane is characterized by the bulk compressibility…

Biological Physics · Physics 2009-11-07 Luc Fournier , Bela Joos

A numerical framework for simulating progressive failure under high-cycle fatigue loading is validated against experiments of composite quasi-isotropic open-hole laminates. Transverse matrix cracking and delamination are modeled with a…

Computational Engineering, Finance, and Science · Computer Science 2024-05-06 P. Hofman , F. P. van der Meer , L. J. Sluys

The structural integrity of microtubules is paramount for cellular function. We present a theoretical analysis of their lattice fracture, focusing on the influence of multi-seam structures arising from monomer defects and aiming to provide…

Biological Physics · Physics 2025-11-11 Amir Zablotsky , Subham Biswas , Laura Schaedel , Karin John

In this note, we propose a formal framework accounting for the sensitivity of a function of the domain with respect to the addition of a thin ligament. To set ideas, we consider the model setting of elastic structures, and we approximate…

Optimization and Control · Mathematics 2019-12-30 Charles Dapogny

Here we develop an approach to bio-structural robustness integrated with structure-function relationship in a unified conceptual and methodological framework, and envision its study using adequate computational and experimental methods. To…

Other Quantitative Biology · Quantitative Biology 2008-06-04 Nicanor I. Moldovan

The precise mechanisms underlying the failure of multi-phase materials may be strongly dependent on the material's microstructural morphology. Micromechanical modeling has provided much insight into this dependence, but uncertainties remain…

Materials Science · Physics 2016-04-14 T. W. J. de Geus , R. H. J. Peerlings , M. G. D. Geers

Capturing and predicting the effective mechanical properties of highly porous cellular media still represents a significant challenge for the research community, due to their complex structural interdependencies and known size effects.…

Soft Condensed Matter · Physics 2024-07-30 Alexander Malik , Geralf Hütter , Martin Abendroth , Bjoern Kiefer

Networks of filamentous proteins play a crucial role in cell mechanics. These cytoskeletal networks, together with various crosslinking and other associated proteins largely determine the (visco)elastic response of cells. In this letter we…

Disordered Systems and Neural Networks · Physics 2009-11-10 D. A. Head , A. J. Levine , F. C. MacKintosh

The staggered (or imbricated) lamellar "brick-and-mortar" nanostructure of nacre endows nacre with strength and fracture toughness values exceeding by an order of magnitude those of the constituents, and inspires the advent of new robust…

Applications · Statistics 2018-08-29 Wen Luo , Zdeněk P. Bažant