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Related papers: Modeling the Non-linear Viscoelastic Response of H…

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Hyperelastic materials models are well established to describe the non-linear stress-strain relations of elastomers. In this paper, a polyurethane adhesive is considered as an exemplary material and subjected to tensile, compressive and…

Soft Condensed Matter · Physics 2018-05-29 Olaf Hesebeck , Andreas Wulf

In this article, we study a thermodynamically consistent thermo-visco-elastic model describing the balance of internal energy in a heat-conducting inelastic body. In the considered problem, the temperature dependence appears in both the…

Analysis of PDEs · Mathematics 2025-11-13 Tomasz Cieślak , Sebastian Owczarek , Karolina Wielgos

Ultrathin polymer films that are produced e.g. by spin-coating are believed to be stressed since polymers are 'frozen in' into out-of-equilibrium configurations during this process. In the framework of a viscoelastic thin film model, we…

Soft Condensed Matter · Physics 2011-03-01 Falko Ziebert , Elie Raphael

One of the main theoretical issues in developing a theory of anisotropic viscoelastic media at finite strains lies in the proper definition of the material symmetry group and its evolution with time. In this paper the matter is discussed…

Soft Condensed Matter · Physics 2021-02-03 Jacopo Ciambella , Paola Nardinocchi

This is an integrated experimental and theoretical study of the dynamics and rheology of self-crosslinked, slightly charged, temperature responsive soft Poly(N-isopropylacrylamide) (pNIPAM) microgels over a wide range of concentration and…

Soft Condensed Matter · Physics 2021-03-04 Gaurav Chaudhary , Ashesh Ghosh , Jin Gu Kang , Paul V. Braun , Randy H. Ewoldt , Kenneth S. Schweizer

Based on a Hamiltonian that incorporates the elastic coupling between a tracer and active particles, we derive a generalized Langevin model for the non-equilibrium mechanical response of active viscoelastic biomatter. Our model accounts for…

Soft Condensed Matter · Physics 2022-07-26 Amir Abbasi , Roland R. Netz , Ali Naji

A constitutive model is derived for the time-dependent response of particle-reinforced elastomers at finite strains. An amorphous rubbery polymer is treated as a network of long chains linked by permanent junctions (chemical crosslinks,…

Soft Condensed Matter · Physics 2007-05-23 Aleksey D. Drozdov

Developing clinically viable tissue-engineered cardiovascular implants remains a formidable challenge. Achieving reliable and durable outcomes requires a deeper understanding of the fundamental mechanisms driving tissue evolution during in…

Computational Engineering, Finance, and Science · Computer Science 2025-07-29 Mahmoud Sesa , Hagen Holthusen , Christian Böhm , Stefan Jockenhövel , Stefanie Reese , Kevin Linka

The thermodynamical model of visco-elastic deformable solids at finite strains is formulated in a fully Eulerian way in rates. Also effects of thermal expansion or buoyancy due to evolving mass density in a gravity field are covered. The…

Analysis of PDEs · Mathematics 2023-09-14 Tomáš Roubíček

Temperature-sensitive hydrogels based on polymers such as poly(N-isopropylacrylamide) (PNIPAM) undergo a volume phase transition in response to changes in temperature. During this transition, distinct changes in both thermal and mechanical…

Soft Condensed Matter · Physics 2017-07-19 Frank J. Aangenendt , Johan Mattsson , Wouter G. Ellenbroek , Hans M. Wyss

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

Structural materials are broadly used in applications such as nuclear vessels, high-temperature processes, and civil construction. Usually, during their placing and lifespan, they may present free or chemically bonded liquid phases in their…

Materials Science · Physics 2021-03-29 M. H. Moreira , R. F. Ausas , S. Dal Pont , P. I. Pelissari , A. P. Luz , V. C. Pandolfelli

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

We propose a physics and chemistry-based constitutive framework to predict the stress responses of thermo-chemically aged elastomers and capture their brittle failure using the phase-field approach. High-temperature aging in the presence of…

Materials Science · Physics 2024-01-25 Aimane Najmeddine , Maryam Shakiba

Constitutive equations are derived for the viscoelastic behavior of filled elastomers at isothermal loading with finite strains. A particle-reinforced rubber is thought of as a composite where regions with low concentrations of junctions…

Materials Science · Physics 2009-11-07 Aleksey D. Drozdov , Al Dorfmann

This paper proposes a physio-chemically-based constitutive framework to simulate and predict the response of semi-crystalline low-density polyethylene (LDPE) to severe photo-oxidation. Photo-oxidation induced by exposure to Ultra-Violet…

Materials Science · Physics 2022-01-28 Aimane Najmeddine , Zhen Xu , Guoliang Liu , Alan R. Esker , Maryam Shakiba

We present a multiscale model bridging length and time scales from molecular to continuum levels with the objective of predicting the yield behavior of amorphous glassy polyethylene (PE). Constitutive parameters are obtained from molecular…

Computational Physics · Physics 2019-02-06 N. Vu-Bac , P. Areias , T. Rabczuk

Machine-learning function representations such as neural networks have proven to be excellent constructs for constitutive modeling due to their flexibility to represent highly nonlinear data and their ability to incorporate constitutive…

Soft Condensed Matter · Physics 2024-04-25 Jan N. Fuhg , Asghar Jadoon , Oliver Weeger , D. Thomas Seidl , Reese E. Jones

A thermodynamic framework has been developed for a class of amorphous polymers used in fused deposition modeling (FDM), in order to predict the residual stresses and the accompanying distortion of the geometry of the printed part (warping).…

Classical Physics · Physics 2021-02-09 P. Sreejith , K. Kannan , K. R. Rajagopal

We propose thermodynamically consistent models for viscoelastic fluids with a stress diffusion term. In particular, we derive variants of compressible/incompressible Maxwell/Oldroyd-B models with a stress diffusion term in the evolution…

Fluid Dynamics · Physics 2018-03-14 Josef Málek , Vít Průša , Tomáš Skřivan , Endre Süli