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We extend the formulation of position-based rods to include elastic volumetric deformations. We achieve this by introducing an additional degree of freedom per vertex -- isotropic scale (and its velocity). Including scale enriches the space…

A novel data-driven constitutive modeling approach is proposed, which combines the physics-informed nature of modeling based on continuum thermodynamics with the benefits of machine learning. This approach is demonstrated on…

Computational Engineering, Finance, and Science · Computer Science 2023-04-28 Kshitiz Upadhyay , Jan N. Fuhg , Nikolaos Bouklas , K. T. Ramesh

This work presents an open-source interface that couples the viscoplastic self-consistent (VPSC) model capable of simulating anisotropic creep and irradiation growth in polycrystalline materials with the finite element solver Code_Aster.…

Like a cr\^epe resting on a plate, a thin elastic sheet can fold smoothly under its own weight, forming reversible shapes without creases or imposed hinges. Such soft folds arise from a balance between elastic bending and gravity, yet their…

Soft Condensed Matter · Physics 2026-02-18 Tom Marzin , Barath Venkateswaran , Yuchen Xi , Sunghwan Jung , P. -T. Brun

We present the Complex Envelope Variable Approximation (CEVA) as the very useful and compact method for the analysis of the essentially nonlinear dynamical systems. It allows us to study both the stationary and non-stationary dynamics even…

Pattern Formation and Solitons · Physics 2020-04-20 Valeri V. Smirnov , Leonid I. Manevitch

A novel volume of fluid model (VoF) called explicit volume diffusion (EVD) is developed for the simulation of interfacial flows, including those with turbulence and primary spray atomisation. The EVD model is derived by volume averaging the…

Fluid Dynamics · Physics 2021-06-30 B. Wang , M. J. Cleary , A. R. Masri

Viscoelastic rate-type fluid models are essential for describing the behavior of a wide range of complex materials, with applications in fields such as engineering, biomaterials, and medicine. These models are particularly useful for…

Analysis of PDEs · Mathematics 2025-05-01 Miroslav Bulìček , Jakub Woźnicki

We propose a modeling framework for finite viscoelasticity, inspired by the kinematic assumption made by Green and Naghdi in plasticity. This approach fundamentally differs from the widely used multiplicative decomposition of the…

Numerical Analysis · Mathematics 2025-09-18 Ju Liu , Chongran Zhao , Jiashen Guan

We analyze the representation of viscous stresses in the one-fluid formulation of the two-phase Navier-Stokes equations, the model on which all computational approaches making use of a fixed mesh to discretize the flow field are grounded.…

Fluid Dynamics · Physics 2025-06-06 Jacques Magnaudet , Hadrien Bruhier , Samuel Mer , Thomas Bonometti

The thermally activated creep motion of an elastic interface weakly driven on a disordered landscape is one of the best examples of glassy universal dynamics. Its understanding has evolved over the last 30 years thanks to a fruitful…

Disordered Systems and Neural Networks · Physics 2021-03-15 Ezequiel E. Ferrero , Laura Foini , Thierry Giamarchi , Alejandro B. Kolton , Alberto Rosso

We propose a novel type of planar-to-spatial deployable structures that we call elastic geodesic grids. Our approach aims at the approximation of freeform surfaces with spatial grids of bent lamellas which can be deployed from a planar…

Graphics · Computer Science 2020-07-02 Stefan Pillwein , Kurt Leimer , Michael Birsak , Przemyslaw Musialski

This paper presents a phase-field model for simulating the three-dimensional deformation of vesicle membranes, incorporating area-difference elasticity, with constraints on bulk volume and surface area. We develop efficient numerical…

Numerical Analysis · Mathematics 2025-11-19 Yihong Liang , Emine Celiker , Ping Lin

The purpose of this paper is to extend the non-invasive global/local iterative coupling technique [15] to the case of large structures undergoing nonlinear time-dependent evolutions at all scales. It appears that, due to the use of legacy…

Computational Engineering, Finance, and Science · Computer Science 2019-01-25 Maxime Blanchard , Olivier Allix , Pierre Gosselet , Geoffrey Desmeure

An extremal model for the plasticity of amorphous materials is studied in a simple two-dimensional anti-plane geometry. The steady-state is analyzed through numerical simulations. Long-range spatial and temporal correlations in local slip…

Disordered Systems and Neural Networks · Physics 2009-11-07 Jean-Christophe Baret , Damien Vandembroucq , Stephane Roux

The viscoplastic deformation (creep) of crystalline materials under constant stress involves the motion of a large number of interacting dislocations. Analytical methods and sophisticated `dislocation-dynamics' simulations have proved very…

Statistical Mechanics · Physics 2009-11-07 M. -Carmen Miguel , Alessandro Vespignani , Stefano Zapperi , Jerome Weiss , Jean-Robert Grasso

This paper presents a new method for modeling the mechanics of the aortic valve, and simulates its interaction with blood. As much as possible, the model construction is based on first principles, but such that the model is consistent with…

Tissues and Organs · Quantitative Biology 2021-10-15 Alexander D. Kaiser , Rohan Shad , William Hiesinger , Alison L. Marsden

The theory, the design and the experimental validation of a catastrophe machine based on a flexible element are addressed for the first time. A general theoretical framework is developed by extending that of the classical catastrophe…

Chaotic Dynamics · Physics 2020-02-20 Alessandro Cazzolli , Diego Misseroni , Francesco Dal Corso

We analyze the behavior of different elastoplastic models approaching the yielding transition. We propose two kind of rules for the local yielding events: yielding occurs above the local threshold either at a constant rate or with a rate…

Disordered Systems and Neural Networks · Physics 2019-12-02 E. E. Ferrero , E. A. Jagla

This paper presents a half-analytical elastic solution convenient for parametric studies of 2D cracked pavements. The pavement structure is reduced to three elastic and homogeneous equivalent layers resting on a soil. In a similar way than…

Materials Science · Physics 2017-08-18 Hanan Nasser , Armelle Chabot

For the adhesive contact of elastomers, we propose expressions to quantify the impact of viscoelastic response on effective adhesion energy as a function of contact edge velocity. The expressions we propose are simple analytical functionals…

Soft Condensed Matter · Physics 2015-05-13 Etienne Barthel , Christian Frétigny
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