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In this paper, we propose a novel one-dimensional (1D) discrete differential geometry (DDG)-based numerical method for geometrically nonlinear mechanics analysis (e.g., buckling and snapping) of axisymmetric shell structures. Our numerical…

Soft Condensed Matter · Physics 2024-10-01 Weicheng Huang , Tianzhen Liu , Zhaowei Liu , Peifei Xu , Mingchao Liu , Yuzhen Chen , K. Jimmy Hsia

In many applications, thin shell-like structures are integrated within or attached to volumetric bodies. This includes reinforcements placed in soft matrix material in lightweight structure design, or hollow structures that are partially or…

Numerical Analysis · Mathematics 2025-01-10 Astrid Pechstein , Michael Neunteufel

We investigate numerically the yielding transition of a two dimensional model amorphous solid under external shear. We use a scalar model in terms of values of the total local strain, that we derive from the full (tensorial) description of…

Statistical Mechanics · Physics 2018-07-18 I. Fernández Aguirre , E. A. Jagla

By calculating the linear response of packings of soft frictionless discs to quasistatic external perturbations, we investigate the critical scaling behavior of their elastic properties and non-affine deformations as a function of the…

Soft Condensed Matter · Physics 2010-01-20 Wouter G. Ellenbroek , Martin van Hecke , Wim van Saarloos

We employ a novel discrete element method (DEM) force formulation to simulate adhesive wear and assess the effects of material and loading parameters on the properties of the third-body layer (TBL) formed during sliding motion. The study…

Soft Condensed Matter · Physics 2023-07-28 Son Pham-Ba , Jean-François Molinari

A method for simulation of elastoplastic solids in multibody systems with nonsmooth and multidomain dynamics is developed. The solid is discretised into pseudo-particles using the meshfree moving least squares method. The particles carry…

Soft Condensed Matter · Physics 2016-11-14 John Nordberg , Martin Servin

When dealing with unsaturated wet granular materials, a fundamental question is: what is the effect of capillary cohesion on the bulk flow and yield behavior? We inwestigate the dense flow rheology of unsaturated granular materials through…

Soft Condensed Matter · Physics 2018-08-29 M. Badetti , A. Fall , F. Chevoir , P. Aimedieu , S. Rodts , J. -N. Roux

The discrete element method constitutes a general class of modeling techniques to simulate the microscopic behavior (i.e. at the particle scale) of granular/soil materials. We present a contact dynamics method, accounting for the cohesive…

Soft Condensed Matter · Physics 2011-07-18 Dirk Kadau , Jose S. Andrade , Hans J. Herrmann

Multiscale models of materials, consisting of upscaling discrete simulations to continuum models, are unique in their capability to simulate complex materials behavior. The fundamental limitation in multiscale models is the presence of…

Computational Engineering, Finance, and Science · Computer Science 2020-12-22 Jingye Tan , Umberto Villa , Nima Shamsaei , Shuai Shao , Hussein M. Zbib , Danial Faghihi

In the present work, a rate-dependent cohesive zone model for the fracture of polymeric interfaces is presented. Inverse calibration of parameters for such complex models through trial and error is computationally tedious due to the large…

Computational Engineering, Finance, and Science · Computer Science 2023-11-15 Ponkrshnan Thiagarajan , Trisha Sain , Susanta Ghosh

Dense suspensions of solid particles in viscous liquid are ubiquitous in both industry and nature, and there is a clear need for efficient numerical routines to simulate their rheology and microstructure. Particles of micron size present a…

Soft Condensed Matter · Physics 2023-07-27 Xuan Li , John R. Royer , Christopher Ness

Diffusion behaviors of heterogeneous materials are of paramount importance in many engineering problems. Numerical models that take into account the internal structure of such materials are robust but computationally very expensive. This…

Numerical Analysis · Mathematics 2023-12-18 Jan Eliáš , Hao Yin , Gianluca Cusatis

This paper presents an extension of the discrete element method using a phase-field formulation to incorporate grain shape and its evolution. The introduction of a phase variable enables an effective representation of grain geometry and…

Materials Science · Physics 2024-04-09 Alexandre Sac-Morane , Manolis Veveakis , Hadrien Rattez

We derive and analyze a class of spherically symmetric cosmological models whose source is an interactive mixture of inhomogeneous cold dark matter (DM) and a generic homogeneous dark energy (DE) fluid. If the DE fluid corresponds to a…

Astrophysics · Physics 2009-11-10 Roberto A Sussman , Israel Quiros , Osmel Martin Gonzalez

The interface plays a critical role in the mechanical properties of composites. In the present work, a novel phase-field based cohesive zone model (CZM) is proposed for the cracking simulation. The competition and interaction between the…

Materials Science · Physics 2021-02-23 Peiliang Bian , Hai Qing

This work presents a detailed review of the methods proposed to implement Mindlin's no-slip and partial slip model under constant normal loading and Mindlin Deresiewicz's extensional work on micro-slip under varying normal loading, for the…

Other Condensed Matter · Physics 2025-09-10 S Ganguli , P S Goswami , M Bose

The damping of built-up structures stems largely from the microscopic dry frictional interactions in the contact interfaces. The accurate prediction of friction damping has been an important scientific aim of the past several decades.…

Systems and Control · Electrical Eng. & Systems 2025-07-17 Hendrik D. Linder , Johann Gross , Malte Krack

Three-dimensional discrete numerical simulation is used to investigate the properties of close-packed frictionless granular assemblies as a function of particle polydispersity and shape. Unlike some experimental results, simulations show…

Soft Condensed Matter · Physics 2017-07-20 Jean-François Camenen , Yannick Descantes

Complex morphologies and microstructures that emerge during materials growth and solidification are often determined by both equilibrium and kinetic properties of the interface and their crystalline anisotropies. However limited knowledge…

Materials Science · Physics 2016-03-02 Zhi-Feng Huang

A recent paper [J. A. Evans, D. Kamensky, Y. Bazilevs, "Variational multiscale modeling with discretely divergence-free subscales", Computers & Mathematics with Applications, 80 (2020) 2517-2537] introduced a novel stabilized finite element…

Numerical Analysis · Mathematics 2021-12-21 Sajje Lee Calfy , John A. Evans , David Kamensky
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