Inelastic material behavior of polymers – Experimental characterization, formulation and implementation of a material model

Kästner, Markus; Obst, Martin; Brummund, Jörg; Thielsch, Karin; Ulbricht, Volker

doi:10.1016/j.mechmat.2012.04.011

Cited by 64 publications

(28 citation statements)

References 38 publications

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“…An analogous result can be found for the small strain formulation, cf Kästner et al (2012). By pushing Eq.…”

Section: Approximate Formula For Materials Jacobiansupporting

confidence: 67%

“…This fact was previously highlighted by Kästner et al (2012) for the case of infinitesimal strains. However, for small values of constants γ k (k = 1, 2, .…”

Section: Approximate Formula For Materials Jacobiansupporting

confidence: 55%

“…Lee (1995) discussed numerical implementation of the endochronic theory of plasticity that was developed by Valanis (1971a,b). Kästner et al (2012) developed and implemented into the finite element method (FEM) a viscoplastic constitutive model which contained an elasto-plastic component similar to the endochronic formulation by Valanis. Both aforementioned approaches referred to the small strain domain.…”

Section: Introductionmentioning

confidence: 99%

“…Both aforementioned approaches referred to the small strain domain. The constitutive equation proposed by Kästner et al (2012) was further extended to the finite strain range by Alkas Yonan et al (2013) using the spatial description in the deformed configuration of material continuum. The FE implementation was discussed as well.…”

Section: Introductionmentioning

confidence: 99%

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Numerical implementation of finite strain elasto-plasticity without yield surface

Suchocki

2017

jtam

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In the present study, the finite element (FE) implementation of elasto-plasticity without a yield surface is discussed. For that purpose, the method of perturbing the deformation gradient tensor is employed to calculate approximate tangent moduli. The development of a user subroutine that enables one to use the proposed model within the FE program ABAQUS is covered. A number of exemplary numerical simulations is conducted in order to check the performance of this subroutine. Material parameter values determined for different materials are utilized. Finally, the presented constitutive equation is examined upon its ability to capture the shear-softening process.

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“…An analogous result can be found for the small strain formulation, cf Kästner et al (2012). By pushing Eq.…”

Section: Approximate Formula For Materials Jacobiansupporting

confidence: 67%

“…This fact was previously highlighted by Kästner et al (2012) for the case of infinitesimal strains. However, for small values of constants γ k (k = 1, 2, .…”

Section: Approximate Formula For Materials Jacobiansupporting

confidence: 55%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Numerical implementation of finite strain elasto-plasticity without yield surface

Suchocki

2017

jtam

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“…Kästner et al [22] performed uniaxial tensile, relaxation and cyclic experiments to quantify parameters of inelastic behaviour of polypropylene that were subsequently used to formulate constituent equations for implementation in numerical modelling. A parametric numerical code was developed to model fibrous networks [23] based on their realistic microstructure and several models were implemented employing this code, incorporating elastic, plastic and viscous properties of constituent fibres obtained from tests [24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Inelastic behaviour of bacterial cellulose hydrogel: In aqua cyclic tests

et al. 2015

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Citation: GAO, X. et al., 2015. Inelastic behaviour of bacterial cellulose hydrogel: in aqua cyclic tests. Polymer Testing, 44, Additional Information:• This paper was accepted for publication in the journal Poly- AbstractHydrogels are finding an increasingly broad use, especially in biomedical applications. Their complex structure -a low-density network of microfibrils -defines their non-trivial mechanical behaviour. The focus of this work is on test-based quantification of mechanical behaviour of a bacterial cellulose (BC) hydrogel exposed to cyclic loading. Specimens for the tests were produced using Gluconacetobacter xylinus ATCC 53582 and tested in aqua under uniaxial cyclic loading conditions in a displacement-controlled regime. Substantial microstructural changes were observed in the process of deformation. A combination of qualitative microstructural observations with quantitative force-displacement relations allowed identification of main deformation mechanisms, confirming inelastic behaviour of BC hydrogel under a loading-unloading-reloading regime. Elastic deformation was accompanied by non-elastic (viscoplastic) deformation in both tension and compression. This study also aims to establish a background for micromechanical modelling of overall properties of BC hydrogels.

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XFEM Modeling of Interface Failure in Adhesively Bonded Fiber‐Reinforced Polymers

et al. 2015

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This paper addresses the multi-scale simulation of heterogeneous materials with a special emphasis on the modeling of internal discontinuities. In a homogenization context the local material structure is discretized by the extended finite element method which uses an enriched displacement approximation in combination with a cohesive zone model. This approach is applied to predict the effective material behavior of a fiber reinforced polymer and is then used to investigate the interaction of the fiber-matrix interface with an adhesive layer. All simulations are validated by corresponding experimental data.

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Inelastic material behavior of polymers – Experimental characterization, formulation and implementation of a material model

Cited by 64 publications

References 38 publications

Numerical implementation of finite strain elasto-plasticity without yield surface

Numerical implementation of finite strain elasto-plasticity without yield surface

Inelastic behaviour of bacterial cellulose hydrogel: In aqua cyclic tests

XFEM Modeling of Interface Failure in Adhesively Bonded Fiber‐Reinforced Polymers

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