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This study presents a novel physics informed, data-driven modeling framework for capturing the strongly nonlinear thermo-viscoelastic behavior of soft materials exhibiting stress softening, with emphasis on the Mullins effect. Unlike…

Soft Condensed Matter · Physics 2025-07-18 Alireza Ostadrahimi , Amir Teimouri , Kshitiz Upadhyay , Guoqiang Li

In this paper we present a thermodynamically consistent material model which is capable of modelling ductile-to brittle failure mode transition in ductile material undergoing deformations at high strain rates, and demonstrate the…

Materials Science · Physics 2017-09-19 Ladislav Écsi , Péter Ván , Tamás Fülöp , Balázs Fekete , Pavel Élesztős , Roland Jančo

We consider a mathematical model which describes the quasistatic frictionless contact of a viscoelastic body with a rigid-plastic foundation. We describe the mechanical assumptions, list the hypotheses on the data and provide three…

Analysis of PDEs · Mathematics 2023-09-11 Piotr Bartman , Anna Ochal , Mircea Sofonea

Non-conductive materials like rubbers, plastics, ceramics, and even semiconductors have the property of flexoelectricity, which means that they can generate electricity when bent and twisted. However, an irregular shape or a peculiar load…

Applied Physics · Physics 2021-04-07 Mingyuan Zhang , Dongze Yan , Jianxiang Wang , Li-Hua Shao

This paper presents a finite-strain hyperviscoplastic constitutive model within a thermodynamically consistent framework for peat which was categorised as a material with both rate-dependent and thermodynamic equilibrium hysteresis based on…

Computational Engineering, Finance, and Science · Computer Science 2017-06-21 L. Zhang , B. C. O'Kelly , T. Nagel

The plastic deformation of Polybutylene terephthalate (PBT) is investigated at three temperatures (120$^\circ$C, 150$^\circ$C, 180$^\circ$C) representative of the span between glass transition, $T_g \approx 55^\circ$C and melting $T_m…

The study is devoted to geometrically non-linear modelling of viscoplastic structures with residual stresses. We advocate and develop a special approach to residual stresses based on the transition between reference configurations. The…

Materials Science · Physics 2021-04-06 I. I. Tagiltsev , A. V. Shutov

Understanding surface mechanics of soft solids, such as soft polymeric gels, is crucial in many engineering processes, such as dynamic wetting and adhesive failure. In these situations, a combination of capillary and elastic forces drives…

Soft Condensed Matter · Physics 2020-12-02 Qin Xu , Lawrence A. Wilen , Katharine E. Jensen , Robert W. Style , Eric R. Dufresne

We investigate experimentally the adherence energy $\Gamma$ of model polyacrylate Pressure Sensitive Adhesives (PSAs) with combined large strain rheological measurements in uniaxial extension and an instrumented peel test. We develop a…

Soft Condensed Matter · Physics 2018-07-31 Chopin Julien , Villey Richard , Yarusso David , Barthel Etienne , Creton Costantino , Ciccotti Matteo

A stress equilibration procedure for hyperelastic material models is proposed andanalyzed in this paper. Based on the displacement-pressure approximation computed with a stable finite element pair, it constructs, in a vertex-patch-wise…

Numerical Analysis · Mathematics 2019-05-07 Fleurianne Bertrand , Marcel Moldenhauer , Gerhard Starke

The present article is concerned with modelling the viscoelastic behavior of Polydimethylsiloxane (PDMS) in large-strain regime. Starting from the basic principles of thermodynamics, an incremental variational formulation is derived. Within…

Applied Physics · Physics 2024-02-13 Mario Kunzemann , Leonhard K. Doppelbauer , Rene Preuer , Astrid Pechstein

A new model of metal viscoplasticity, which takes combined isotropic, kinematic, and distortional hardening into account, is presented. The basic modeling assumptions are illustrated using a new two-dimensional rheological analogy. This…

Numerical Analysis · Mathematics 2013-02-22 A. V. Shutov , J. Ihlemann

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

We introduce a one-dimensional stress-rate type nonlinear viscoelastic model for solids that obey the assumptions of the strain-limiting theory. Unlike the classical viscoelasticity theory, the critical hypothesis in the present…

Analysis of PDEs · Mathematics 2020-09-09 Husnu A. Erbay , Yasemin Sengul

Modelling of mechanical behaviour of pre-stressed fibre-reinforced composites is considered in a geometrically exact setting. A general approach which includes two different reference configurations is employed: one configuration…

Computational Engineering, Finance, and Science · Computer Science 2021-03-15 I. I. Tagiltsev , A. V. Shutov

Polymers are ultra-versatile materials that adapt to a myriad of applications, as they can be designed appropriately for specific needs. The realization of new compounds, however, requires the appropriate experimental characterizations,…

Applied Physics · Physics 2022-08-01 Elena Pierro

This paper proposes a thermodynamically consistent phase-field damage model for viscoelastic materials. Suitable free-energy and pseudo-potentials of dissipation are developed to build a model leading to a stress-strain relation, under the…

Numerical Analysis · Mathematics 2022-01-12 Thaís C. da Costa Haveroth , Geovane A. Haveroth , Marco L. Bittencourt , José L. Boldrini

The progressive instability behaviour of compressed dry-stone rectangular pillars loaded with an eccentric load is assessed experimentally and compared with the theory. Photoelastic compression tests were designed and executed on…

Materials Science · Physics 2019-04-11 Massimiliano Gei , Diego Misseroni

An improved linear model is developed for elasto-plastic and adhesive contact. New correlations are proposed and validated to estimate the key input parameters of the model, including contact stiffness, yield point, maximum pull-off force…

Fluid Dynamics · Physics 2022-07-19 Wenguang Nan , Wei Pin Goh , Mohammad Tarequr Rahman

The study is devoted to the geometrically nonlinear simulation of fiber-reinforced composite structures. The applicability of the multiplicative approach to the simulation of viscoelastic properties of a composite material is assessed,…

Applied Physics · Physics 2021-03-15 I. I. Tagiltsev , P. P. Laktionov , A. V. Shutov