Continuum mechanical modeling of strain-induced crystallization in polymers

Aygün, Serhat; Klinge, Sandra

doi:10.1016/j.ijsolstr.2020.04.017

Cited by 11 publications

(13 citation statements)

References 45 publications

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“…In contrast to these strategies, the present model treats the microstructural changes of the crystalline regions within the amorphous polymer matrix as well as the heat production of both phases. Our previous work [32] presents a material model which depicts the mechanical characteristics of the SIC phenomenon in agreement with the experimental investigations ( Figure 1). Based on this model, the aim of the present contribution is to visualize the microstructural development and the change of temperature distribution within a material sample and to observe their interaction depending on external influences.…”

Section: (A)supporting

confidence: 71%

“…and a comparison of Equations (32) and (37) leads to the conclusion that the driving force of an internal variable is equal to the derivative of the dissipation potential with respect to the same quantity…”

Section: Derivation Of Evolution Equationsmentioning

confidence: 99%

“…The thermal contribution above is a function of reference temperature Θ 0 and holds under the condition that the heat capacity c d is independent of temperature. The crystalline energy part Ψ crys is proposed in [32] to model the regularity evolution during the unloading phase. It is a linear function…”

Section: Assumption For the Helmholtz Free Energy Densitymentioning

confidence: 99%

“…Subsequently, the crystalline regions shrink during the unloading with a lower rate. The dissipation potential suitable for modeling this process has been proposed in [32] and has the following form…”

Section: Assumption For the Dissipation Potential And Derivation Of Ementioning

confidence: 99%

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Thermomechanical Modeling of Microstructure Evolution Caused by Strain-Induced Crystallization

Aygün

Klinge

2020

Polymers

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The present contribution deals with the thermomechanical modeling of the strain-induced crystallization in unfilled polymers. This phenomenon significantly influences mechanical and thermal properties of polymers and has to be taken into consideration when planning manufacturing processes as well as applications of the final product. In order to simultaneously capture both kinds of effects, the model proposed starts by introducing a triple decomposition of the deformation gradient and furthermore uses thermodynamic framework for material modeling based on the Coleman–Noll procedure and minimum principle of the dissipation potential, which requires suitable assumptions for the Helmholtz free energy and the dissipation potential. The chosen setup yields evolution equations which are able to simulate the formation and the degradation of crystalline regions accompanied by the temperature change during a cyclic tensile test. The boundary value problem corresponding to the described process includes the balance of linear momentum and balance of energy and serves as a basis for the numerical implementation within an FEM code. The paper closes with the numerical examples showing the microstructure evolution and temperature distribution for different material samples.

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Section: (A)supporting

confidence: 71%

Section: Derivation Of Evolution Equationsmentioning

confidence: 99%

Section: Assumption For the Helmholtz Free Energy Densitymentioning

confidence: 99%

Section: Assumption For the Dissipation Potential And Derivation Of Ementioning

confidence: 99%

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Thermomechanical Modeling of Microstructure Evolution Caused by Strain-Induced Crystallization

Aygün

Klinge

2020

Polymers

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“…As most of the molybdenum borides have a significant high hardness, boron may increase MoSi 2 hardness [112]. In the structure of MoSi 2 , Al can easily substitute B, although it stabilizes the metastable MoSi 2 hexagonal phase [113]. As a result, a single phase of MoSi x Al y or a two-phase system with both the hexagonal and tetragonal phase of MoSi x Al y coexists, depending on the molar ratios of the present elements.…”

Section: Self-healing Mechanism In Thermal Barrier Coatingsmentioning

confidence: 99%

A review on development and application of self-healing thermal barrier composite coatings

Abuchenari

Ghazanfari

Siavashi

et al. 2020

jcc

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To improve the hot section metallic parts durability in advanced gas-turbine operating in power generation and aircraft, thermal barrier coating (TBCs) are extensively utilized to increase their lifetime. The reason for applying coatings on these components is the improvement of their physical properties, mechanical properties, and outer look. The self-repairing ability of materials is very promising due to expanding the service time of materials and it is also beneficial in terms of human safety and financial aspects. In this review article, structure, properties, limitations, and the modification approaches of TBCs were studied. In addition, self-healing agents for TBCs including SiC, MoSi 2 , TiC were introduced, which release their oxide by reaction with air and O 2 that are able to heal the pores/cracks in the coatings. In this regard, their coating methods, mechanism, and applications in TBCs were reviewed.

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Two‐scale computational homogenization of calcified hydrogels

Aygün

Klinge²

2023

Math Methods in App Sciences

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The development of new type of hydrogels featuring enhanced properties is a recent topic and of particular interest for a wide range of industrial applications, especially in biomedical sector. The present contribution focuses on the mutliscale modeling of hydrogels that are treated by the enzymatic mineralization and thus enriched with calcium phosphate. More specifically, the calcium phosphate forms spherical or honeycomb structures in the hydrogel matrix, which significantly improves effective material properties such as stiffness and strength. The chosen multiscale finite element method (FEM) homogenization strategy uses the Hill–Mandel macrohomogeneity condition for bridging two scales: the macroscopic boundary value problem (BVP) simulates the specimen behavior, whereas the microscopic BVP investigates the representative volume element (RVE) depicting the heterogeneous multiphase microstructure. The approach proposed uses the Ogden model to simulate the hydrogel and the neo‐Hooke model for the calcium phosphate phase. It varies the RVE type and the macroscopic tests in order to study the influence of the microstructure on the effective behavior and uses experimental data to determine missing microscopic material parameters. Chosen numerical examples demonstrate the applicability of the numerical tool for the estimation of the optimal microscopic arrangement of phases.

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Continuum mechanical modeling of strain-induced crystallization in polymers

Cited by 11 publications

References 45 publications

Thermomechanical Modeling of Microstructure Evolution Caused by Strain-Induced Crystallization

Thermomechanical Modeling of Microstructure Evolution Caused by Strain-Induced Crystallization

A review on development and application of self-healing thermal barrier composite coatings

Two‐scale computational homogenization of calcified hydrogels

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