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Related papers: A cyclic stress softening model for the Mullins ef…

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This paper models stress softening during cyclic loading and unloading of an elastomer. The paper begins by remodelling the primary loading curve to include a softening function and goes on to derive non-linear transversely isotropic…

Soft Condensed Matter · Physics 2020-05-19 S. R. Rickaby , N. H. Scott

In this paper we derive a model to describe the important inelastic features associated with the cyclic softening, often referred to as stress-softening, of soft biological tissue. The model developed here includes the notion of multiple…

Soft Condensed Matter · Physics 2020-05-19 Stephen R. Rickaby , Nigel H. Scott

We derive an orthotropic model to describe the cyclic stress-softening of a carbon-filled rubber vulcanizate through multiple stress-strain cycles with increasing values of the maximum strain. We specialize the deformation to pure shear…

Classical Physics · Physics 2020-06-23 S. R. Rickaby , N. H. Scott

The Mullins effect represents a softening phenomenon observed in rubber-like materials and soft biological tissues. It is usually accompanied by many other inelastic effects like for example residual strain and induced anisotropy. In spite…

Computational Engineering, Finance, and Science · Computer Science 2024-03-12 Rasul Abdusalamov , Jendrik Weise , Mikhail Itskov

Elastomers are viscoelastic materials and their properties significantly depend on the loading rate. The actual stress experienced by these materials is the sum of equilibrium and dissipative (inelastic) terms. At very low loading rates we…

Soft Condensed Matter · Physics 2018-03-14 K. A. Mokhireva , A. L. Svistkov

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

A new relaxation approach is proposed which allows for the description of stress- and strain-softening at finite strains. The model is based on the construction of a convex hull replacing the originally non-convex incremental stress…

Computational Engineering, Finance, and Science · Computer Science 2023-02-08 Maximilian Köhler , Daniel Balzani

This work focuses on the thermodynamics of pseudo-elastic models which represent the Mullins effect. Two established models are analyzed theoretically, their thermomechanical properties are derived, and certain critical points are…

Materials Science · Physics 2014-08-05 Christoph Naumann , Jörn Ihlemann

We investigate the cyclic mechanical behavior in uniaxial tension of three different commercial thermoplastic polyurethane elastomers (TPU) often considered as a sustainable replacement for common filled elastomers. All TPU have similar…

Soft Condensed Matter · Physics 2021-04-07 Giorgia Scetta , Jianzhu Ju , Nathan Selles , Patrick Heuillet , Matteo Ciccotti , Costantino Creton

A constitutive model is developed for the mechanical response of elastomers at finite strains. A polymer is treated as a network of linear chains linked by permanent (chemical crosslinks) and temporary (entanglements and van der Waals…

Materials Science · Physics 2007-05-23 Aleksey D. Drozdov , Al Dorfmann

To assess the role of single-chain elasticity, non-affine strain fields and pre-stressed reference states we present and discuss the results of numerical and analytical analyses of modified 8-chain Arruda-Boyce model for cross-linked…

Soft Condensed Matter · Physics 2016-04-20 Adrian Cioroianu , Ewa Spiesz , Cornelis Storm

Recent work demonstrates that finite-deformation nonlinear elasticity is essential in the accurate modeling of wrinkling in highly stretched thin films. Geometrically exact models predict an isola-center bifurcation, indicating that for a…

Soft Condensed Matter · Physics 2018-08-15 Eszter Feher , Timothy J. Healey , Andras A. Sipos

Soft yet tough materials are ubiquitous in nature and everyday life. The ratio between fracture toughness and intrinsic fracture energy of a soft material defines its toughness enhancement. Soft materials' toughness enhancement has been…

Soft Condensed Matter · Physics 2022-02-15 Shaoting Lin , Camilo Duque Londono , Dongchang Zheng , Xuanhe Zhao

We propose a continuum theory to model the Mullins effect, which is ubiquitously observed in polymer composites. In the theory, the softening of the materials during the stretching process is accounted for by considering the delamination of…

Soft Condensed Matter · Physics 2020-09-30 Daoyuan Qian , Fanlong Meng

The rheology of F-actin networks has attracted a great attention during the last years. In order to gain a complete understanding of the rheological properties of these novel materials, it is necessary the study in a large deformations…

Soft Condensed Matter · Physics 2017-02-07 Horacio López-Menéndez , José Félix Rodríguez

Spider silk is a remarkable biomaterial with exceptional stiffness, strength, and toughness stemming from a unique microstructure. While recent studies show that silk fibers exhibit plasticity, hysteresis, and recovery under cyclic loading,…

Soft Condensed Matter · Physics 2026-05-11 Renata Olivé , José Pérez-Riguero , Noy Cohen

Soft materials such as rubbers, silicones, gels and biological tissues have a nonlinear response to large deformations, a phenomenon which in principle can be captured by hyperelastic models. The suitability of a candidate hyperelastic…

Soft Condensed Matter · Physics 2024-03-05 Afshin Anssari-Benam , Andrea Bucchi , Michel Destrade , Giuseppe Saccomandi

We study with molecular dynamics simulations of a generic bead-spring model the cyclic crazing behaviour of glassy polymers. The aim is to elucidate the mechanical response of sole fibrillated craze matter as well as its interaction with…

Soft Condensed Matter · Physics 2024-06-21 Tobias Laschuetza , Ting Ge , Thomas Seelig , Joerg Rottler

The hysteretic behavior exhibited by collagen fibrils, when subjected to cyclic loading, is known to result in both dissipation as well as accumulation of residual strain. On subsequent relaxation, partial recovery has also been reported.…

Soft Condensed Matter · Physics 2023-07-27 Amir Suhail , Anuradha Banerjee , R. Rajesh

This article deals with a viscoplastic material model of overstress type. The model is based on a multiplicative decomposition of the deformation gradient into elastic and inelastic part. An additional multiplicative decomposition of…

Numerical Analysis · Mathematics 2015-05-13 A. V. Shutov , R. Kreissig
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