Abstract The Mullins effect is a characteristic property of filled rubber materials whose accurate and efficient modelling still challenging task. Innumerable constitutive models for elastomers are described in the literature. Therefore, this contribution gives review on some widely used approaches, presents classification, proves their thermodynamic consistency, discusses reasonable modifications. To reduce wide range models, choice restricted to those which reproduce idealised,...

Abstract Foamed rubber with a mixed cellular microstructure is compressible material used for various sealing applications in the automotive industry. For technical optimization, sufficiently precise model required. Here description porous elastic and viscoelastic response of low density foamed proposed adapted to ethylene propylene diene monomer (EPDM)-based rubber. The based on spherical shell which homogenized an analytical also numerical manner. A contribution accounts time-dependence...

Excellent tire wear resistance, wet grip and rolling resistance have made silica-filled green elastomeric composites suitable for an electric vehicle to lower fuel consumption. The study of damage mechanics such materials has be carried out in order maximize safety during their usage. Accordingly, we aim develop a model characterize the effect geometric configuration composites. A 'VUSDFLD' subroutine is developed composites, which used finite element analysis (FEA) verified experimentally...

We propose a moving-boundary scenario to model the penetration of diffusants into dense and foamed rubbers. The presented modelling approach recovers experimental findings related diffusion cyclohexane resulting swelling in piece material made ethylene propylene diene monomer rubber (EPDM). main challenge is find out relatively simple components which can mimic mechanical behavior rubber. Such special structure identified here so that computed depths diffusant concentration are within range...

Abstract Working on quasi‐static phase‐field fracture modeling in nearly incompressible solids for crack propagation is a challenging task. To avoid arising locking effects therein, mixed form the solid displacement equation developed, resulting two unknowns: field and hydro‐static pressure variable. In order to fulfil an inf‐sup condition, stable Taylor‐Hood elements are employed displacement‐pressure system. The irreversibility condition of evolution handled by help primal‐dual active set...

In this article, we propose a macro-micro (two-scale) mathematical model for describing the macroscopic swelling of rubber foam caused by microscopic absorption some liquid. our modeling approach, suppose that material occupies one-dimensional domain which swells as described standard beam equation including an additional term determined liquid pressure. As special feature model, takes place inside via lower length scale, is assumed to be inherently present in such structured material. The...

Abstract In this paper we present an extension of the material models DFM and MORPH formulated in representative directions via approach for viscohyperelasticity based on a Prony series resp. integral approach. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Abstract In this work we investigate the performance of a visco‐hyperelastic material model to predict time‐dependent deformation behaviour highly elastic adhesives. The is based on hyperelastic Arruda‐Boyce with Prony series approach. parameter identification conducted for fixed relaxations times which are predicted via evaluating an integral ansatz shear modulus. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Abstract The Levenberg Marquardt algorithm [1] is a common choice for identification problems. While the construction of residuals and therefore target function quite simple, results are often superior. This changes if final consists out several values which affects each other to not unique solution. specification so called border curves or error bands will improve process. New ways use this construct new be shown.

We deal with special kinds of viscoelastic multi‐mechanism models (MM models) in series connection. The MM under consideration consist a finite number rheological Kelvin‐Voigt elements and, possibly, thermoelastic element. An important new item is the possible coupling between KV leading to quality. After dealing short modeling, we investigate two resulting three‐dimensional mathematical problems isothermal case. In particular, show existence and uniqueness weak solutions for corresponding...

Abstract Materials used for adhesive tapes indicate viscohyperelastic behaviour. We presented a model approach extending hyperelastic material models viscous effects via an evolution law approach. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

The internal structure of adhesive tapes determines the effective mechanical properties. This holds true especially for blended systems, here consisting acrylate and rubber phases. In this note, we propose a lattice-based model to study numerically formation morphologies within four-component mixture (of discrete particles) where solvent components evaporate. Mimicking interaction between rubber, acrylate, two different types solvents, relevant technology tapes, aim obtain realistic...

Abstract The internal structure of adhesive tapes determines the effective mechanical properties. This holds true especially for blended systems, here consisting acrylate and rubber phases. In this note, we propose a lattice-based model to study numerically formation morphologies within four-component mixture (of discrete particles) where solvent components evaporate. Mimicking interaction between rubber, acrylate, two different types solvents, relevant technology tapes, aim obtain realistic...