English
Related papers

Related papers: Thermodynamically consistent modelling of viscoela…

200 papers

Variational multiscale (VMS) methods offer a robust framework for handling under-resolved flow scales without resorting to problem-specific turbulence models. Here, we propose and assess a dynamic, term-by-term VMS stabilized formulation…

Fluid Dynamics · Physics 2026-02-06 Diego Escobar , Douglas Pacheco , Alejando Aguirre , Ernesto Castillo

Polydimethylsiloxane (PDMS) is a glassy polymer widely used in biomedical engineering, namely in microfluidics applications. However, PDMS is known to interact with hydrophobic chemicals. This interaction is exacerbated at the scale of…

Soft Condensed Matter · Physics 2025-06-18 Nathaniel G. Hermann , Dmitry A. Markov , M. Shane Hutson

This paper presents an extended coarse-grained investigation of the elastic properties of polystyrene. In particular, we employ the well-known MARTINI force field and its modifications to perform extended molecular dynamics simulations at…

Computational Physics · Physics 2020-01-08 Yaroslav Beltukov , Igor Gula , Alexander M. Samsonov , Ilia A. Solov'yov

We study pattern formation during tensile deformation of confined viscoelastic layers. The use of a model system (PDMS with different degrees of crosslinking) allows us to go continuously from a viscous liquid to an elastic solid. We…

Soft Condensed Matter · Physics 2008-08-28 J. Nase , A. Lindner , C. Creton

This work concerns the continuum basis and numerical formulation for deformable materials with viscous dissipative mechanisms. We derive a viscohyperelastic modeling framework based on fundamental thermomechanical principles. Since most…

Numerical Analysis · Mathematics 2021-08-12 Ju Liu , Marcos Latorre , Alison L. Marsden

The suspended electrothermal polysilicon micro beams generate displacements and forces by thermal buckling effects. In the previous electro-thermal and thermo-elastic models of suspended polysilicon micro beams, the thermo-mechanical…

Other Computer Science · Computer Science 2008-02-22 M. Shamshirsaz , M. Bahrami , M. B. Asgari , M. Tayefeh

In this paper, we study the thermo-elastodynamics of nonlinearly viscous solids in the Kelvin-Voigt rheology where both the elastic and the viscous stress tensors comply with the frame-indifference principle. The system features a force…

Analysis of PDEs · Mathematics 2024-09-04 S. Almi , R. Badal , M. Friedrich , S. Schwarzacher

Elastic wave propagation provides a noninvasive way to probe granular materials. The discrete element method using particle configuration as input, allows a micromechanical interpretation on the acoustic response of a given granular system.…

Geophysics · Physics 2018-08-28 Hongyang Cheng , Stefan Luding , Kuniyasu Saitoh , Vanessa Magnanimo

We propose a mathematical model that combines elastic, viscous and porous effects with growth or shrinkage due to microstructural changes. This phenomenon is important in tissue or tumor growth, as well as in dermal contraction. Although…

Numerical Analysis · Mathematics 2025-12-12 Sabia Asghar , Duncan den Bakker , Etelvina Javierre , Qiyao Peng , Fred J. Vermolen

We propose a variational formulation for the nonequilibrium thermodynamics of discrete open systems, i.e., discrete systems which can exchange mass and heat with the exterior. Our approach is based on a general variational formulation for…

Mathematical Physics · Physics 2018-12-05 François Gay-Balmaz , Hiroaki Yoshimura

In this work, a consistent viscoplasticity formulation is derived from thermodynamical principles and employing the concept of continuum elastic corrector rate. The proposed model is developed based on the principle of maximum viscoplastic…

Soft Condensed Matter · Physics 2020-09-28 Khanh Nguyen , Victor J. Amores , Francisco J. Montans

In this paper, a statistical physical derivation of thermodynamically consistent fluid mechanical equations is presented for non-isothermal viscous molecular fluids. The coarse-graining process is based on (i) the adiabatic expansion of the…

Statistical Mechanics · Physics 2024-04-18 Gyula I. Tóth

We present a thermodynamically based approach to the design of models for viscoelastic fluids with stress diffusion effect. In particular, we show how to add a stress diffusion term to some standard viscoelastic rate-type models (Giesekus,…

Fluid Dynamics · Physics 2021-01-01 Mark Dostalík , Vít Průša , Tomáš Skřivan

Sintering is a pivotal technology for processing ceramic and metallic powders into solid objects. A profound understanding of microstructure evolution during sintering is essential for manufacturing products with tailored properties. While…

Materials Science · Physics 2024-12-06 Qingcheng Yang , Arkadz Kirshtein

Starting from a general classical model of many interacting particles we present a well defined step by step procedure to derive the continuum-mechanics equations of nonlinear elasticity theory with fluctuations which describe the…

Statistical Mechanics · Physics 2022-06-02 Rudolf Haussmann

We perform large-scale event-driven Molecular dynamics (MD) simulations for granular gases of particles interacting with the impact-velocity dependent restitution coefficient. We use the simplest first-principle collision model of…

Statistical Mechanics · Physics 2015-06-11 Awadhesh Kumar Dubey , Anna Bodrova , Sanjay Puri , Nikolai Brilliantov

The thermodynamical model of viscoelastic deformable solids at finite strains with Kelvin-Voigt rheology with a higher-order viscosity (using the concept of multipolar materials) is formulated in a fully Eulerian way in rates. Assumptions…

Analysis of PDEs · Mathematics 2025-02-05 Tomáš Roubíček

The mechanical response of isotropic elastoplastic materials containing random distributions of initially spherical voids is investigated computationally based on Fast Fourier Transform simulations. Numerical limit-analysis simulations at…

Materials Science · Physics 2020-12-21 J. Hure

The rheological parameters of materials are determined in the industry according to international standards established generally on the basis of widespread techniques and robust methods of estimation. Concerning solid polymers and the…

Classical Physics · Physics 2012-06-20 A. Blaise , Stéphane André , Patrick Delobelle , Yves Meshaka , C. Cunat

A series of tensile relaxation tests is performed on isotactic polypropylene in the sub-yield and post-yield regions at room temperature. Constitutive equations are derived for the time-dependent response of a semicrystalline polymer at…

Materials Science · Physics 2007-05-23 A. D. Drozdov , J. deC. Christiansen