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2024 | Buch

Advances in Understanding Thermal Effects in Rubber

Experiments, Modelling, and Practical Relevance

herausgegeben von: Gert Heinrich, Reinhold Kipscholl, Jean-Benoît Le Cam, Radek Stoček

Verlag: Springer Nature Switzerland

Buchreihe : Advances in Polymer Science

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Über dieses Buch

Im Falle eines idealen Kautschuks denkt man oft an die lineare Abhängigkeit des Schermoduls von der Temperatur als Ausdruck der typischen Entropieelastizität. Temperaturabhängigkeiten typischer technischer Kautschukmaterialien sind jedoch bekanntermaßen viel komplizierter. Das hat Folgen für das praktische Verhalten gummielastischer Bauteile. Ein bekanntes Beispiel dafür ist die dramatische Challenger-Katastrophe. Der Gummi, mit dem die Feststoffraketen-Booster mit O-Ringen abgedichtet wurden, dehnte sich bei Temperaturen von 0 ° C oder darunter nicht aus, was zu einer Öffnung in der Feststoffraketen-Booster-Verbindung führte, durch die Gas zu entweichen versuchte. Der physikalische Hauptgrund für die Wärmeerzeugungsprozesse ist die Hysterese von Kautschukmaterialien aufgrund von Verformung und Viskoelastizität. Die meisten Elastomere verändern sich daher mit der Zeit deutlich, wenn sie Hitze (und ebenso Licht oder Sauerstoff (Ozon)) ausgesetzt sind. Diese Veränderungen können dramatische Auswirkungen auf das Leben und die Eigenschaften der Elastomere haben. Wärmeentwicklung in einem Kautschuk tritt auf, wenn er im Betrieb einer Vielzahl von Druckbelastungen ausgesetzt ist. Wärmeentwicklungstests werden üblicherweise durchgeführt, um die Qualität der Anwendung und die erwartete Lebensdauer verschiedener Verbindungen oder Materialoptionen für Endproduktanwendungen abzuschätzen. Neue Entwicklungen bei Testmethoden in diese Richtung in den letzten Jahren bilden einen wichtigen Bestandteil des Buches. Gleichzeitig wurden entsprechende Simulations- und Modellierungsmethoden entwickelt, die zu einem besseren Verständnis beitragen und die vorausschauende Simulation der Selbsterhitzung und der Kinetik von Temperaturfeldern in komplexen zyklisch belasteten Gummikomponenten ermöglichen. Speziell werden auch Modelle thermisch-viskoelastischer Schäden endlicher Dehnung zur Vorhersage der zyklischen thermomechanischen Reaktion von Gummiproben unter Ermüdung und analytische Modelle zur Wärmediffusion in beanspruchten Kautschuken vorgestellt.

Inhaltsverzeichnis

Frontmatter
Thermomechanical and Energetic Behavior of Elastomers Investigated with IR Thermography-Based Surface Calorimetry: Revisiting Rubber Elasticity, Viscosity, Stress Softening, Strain-Induced Crystallization, and Energy Stored
Abstract
This chapter discusses the use of the surface calorimetry approach to study rubber deformation. It introduces the theoretical framework for determining heat source (or heat power density) from full temperature field measurements and the heat diffusion equation. The determination of the mean intrinsic dissipation and the strain-induced crystallinity from the heat sources is presented and discussed. Typical results obtained under homogeneous tensile loadings are reviewed and analyzed according to four types of calorimetric responses. The types of responses depend on whether the rubber is filled or not, and whether it is crystallizing or not. The calorimetric signatures of thermo-elasticity, viscosity, strain-induced crystallization, stress softening, and energy storage are analyzed and discussed.
J.-B. Le Cam
2D Transient Thermal Analytical Solution of the Heat Build-Up in Cyclically Loaded Rubber Cylinder
Abstract
Predicting the heat build-up in rubber under dynamic cyclic loading is still challenging due to its complexity. The simplest way to make such a prediction is to use numerical methods like the Finite Element Method (FEM), which is preferable especially for geometrically complex rubber components. However, for components with simple geometry, analytical methods may be more appropriate as they better reflect the physical background and allow an assessment of the accuracy of the FE methods through comparison. This paper deals with the detailed derivation of the analytical equations for predicting the heat generation from the heat equation in a rubber cylinder under dynamic cyclic loading. The work focuses exclusively on a thermal solution assuming known rubber material parameters and corresponding loading conditions of the cylinder. The results of the equations derived in this way are compared and discussed with the results of a Finite Element Analysis (FEA) in the radial and axial directions and in the time domain. The analytical expression represents a significant contribution to the effective prediction of the evolution of heat generation in rubber without meeting the requirements of the FEA implementation.
Jiří Vaněk, Ondřej Peter, Gert Heinrich, Radek Stoček
Kinetics of Self-Heat Build-Up in Carbon Black Filled Natural Rubber Caused by Cyclic Mechanical Loading
Abstract
The fact that heat is generated in viscoelastic materials like rubber progressed by energy dissipation while cyclically loaded is well known as self-heat build-up (HBU). In addition, the rubber components are reinforced with various types of fillers, the most used being carbon black (CB), which significantly affects the viscoelastic properties and therefore the development of heat. The exact course of heat generation depending on individual load cycles has not yet been sufficiently described in general terms, let alone defined with regard to the influence of different types of CB. More detailed knowledge would therefore be of great importance for the development of materials for many rubber applications.
For this reason, the aim of this study is to describe in detail the kinetics of HBU in natural rubber reinforced with 10 different types of CB under varied cyclic loading conditions.
In order to understand the effect of different filler reinforcements on the HBU behavior, the fundamental characterization of the studied materials, namely hardness, tensile properties as well as the determination of viscoelastic behavior with respect to the Payne effect, was first performed. The kinetic of HBU was characterized using a unique method of cyclic alternating tensile and compressive loading of a rotating bent rubber cylinder with in-situ temperature analysis inside as well as on the surface of the sample. Simple mathematical functions describing the heat evolution as a function of the type of CB and loading frequency were defined and these were discussed in relation to the fundamental properties of the materials studied.
An increasing temperature rise with increasing CB volume as well as aggregate surface area has been found which fully corresponds with increasing hardness and stiffness of the rubber. Moreover, it has been shown that the course of HBU kinetics as a function of CB type and amount is fully consistent with the G’values obtained in the Payne effect analyses.
Ondřej Kratina, Radek Stoček, Petr Zádrapa, Reinhold Kipscholl, Ondřej Peter
Thermo-Mechanical Behavior of Tread Rubber During High-Speed Friction
Abstract
During the landing process, an aircraft tire is subjected to alternating sliding friction. High-speed friction occurs between the tire and the runway, causing a rapid increase in the tire’s surface temperature. This constant alternating stress causes the aircraft tire rubber to suffer hysteresis energy loss and generate heat. In this paper, experimental and simulation analyses are combined to investigate the heat generation behavior of aircraft tire rubber materials under different sliding conditions. A high-speed sliding friction test was conducted to investigate the temperature distribution law of the rubber, which proved that the heat was mainly generated by sliding friction. The rubber tire heat generation test was conducted in such a way that hysteresis and frictional losses interact at different sliding speeds. The simulation model for thermo-mechanical coupling was established for the combined effect of heat generation by hysteresis and friction losses. The finite element model for heat generation prediction was created and verified based on the test results. The validity and accuracy of the simulation method for thermo-mechanical coupling was systematically analyzed, and the maximum error between the simulation results and experimental data did not exceed 7%.
J. Wu, S. An, F. Teng, B. L. Su, Y. S. Wang
Phase-Field Fracture Modeling of Polymeric Materials Considering Thermo-Viscoelastic Constitutive Behavior at Finite Strains
Abstract
Phase-field modeling has been intensively studied in the recent past and has been recognized as an established method for fracture analysis over the last decade. An increasing number of researchers has scientific interests in this methodology due to the main advantage that it does not depend on any explicit criterion for fracture evolution. In the meantime, the simulation results also show good agreement comparing to experimental evidence. For the majority of polymers, both elastic and viscous behavior are investigated simultaneously. The latter phenomenon naturally leads to rate-dependent response for both deformation and fracture aspects. Furthermore, polymeric materials are also very sensitive to temperature loading, which presents a volumetric expansion and shrinking effect. In this contribution, a thermo-viscoelastic rheological model based on multiplicative decomposition of the deformation gradient is coupled to phase-field modeling to investigate temperature-dependent and rate-dependent fracture within polymeric materials. Regarding the phase-field driving force, only the elastic strain energy potential is supposed to evolve fracture. It comes from both the equilibrium and non-equilibrium branches. The formulation is consistently derived and implemented into an in-house coding platform. Several representative numerical studies demonstrate the capabilities of the present model. Last, a summary with related findings and potential perspectives close the paper.
Bo Yin, Le Zhang, Michael Kaliske
Effect of Carbon Black on Heat Build-up and Energy Dissipation in Rubber Materials
Abstract
The heat build-up and energy dissipation of carbon black reinforced natural rubber compounds are studied using a rebound resilience tester, Goodrich flexometer and a Coesfeld heat build-up analyser. Natural rubber compounds containing eight different carbon blacks at 50 parts per hundred (phr) were studied. The carbon blacks varied widely in their structure and surface area properties allowing quantitative correlations to the heat build-up and rebound resilience measurements to be extracted from their colloidal properties. The results show the nature of deformation dictates different levels of influence of the carbon black properties. Carbon black surface area dominates in influencing the heat build-up and energy dissipation in the Goodrich flexometer, Coesfeld heat build-up analyser and rebound resilience measurements. The Goodrich flexometer heat build-up measurement, however, is the only experimental measurement where carbon black structure plays a significant role in determining the heat build-up. The differences in the levels of influence of carbon black colloidal properties can be understood when the deformation index concept is applied to the experimental results. Goodrich flexometer measurements are predominantly strain-controlled measurements while rebound resilience and Coesfeld heat build-up are a complex combination of strain and energy-controlled deformations. Understanding the type of deformation that dominates in various heat build-up and energy dissipation tests and how carbon black properties affect the results of the tests are of practical importance. It enables the heat build-up and energy dissipation tests that closely represent the type of deformation that will be predominant in field applications to be selected during compound development and characterization. It also gives an understanding of how carbon black properties can be leveraged to optimize desired heat build-up and energy dissipation properties depending on the type of deformation during compound development.
W. A. Kyei-Manu, L. B. Tunnicliffe, C. R. Herd, K. Akutagawa, O. Kratina, R. Stoček, J. J. C. Busfield
Characterisation of Crack Propagation in Natural Rubber Under Complex Loading Conditions Using Thermographic Methods
Abstract
The present work describes the formation and propagation of double cracks in elastomer materials under complex multiaxial loading. Mechanical measurements are complemented by optical measurements to determine local strain fields and thermal measurements to detect local temperature changes and energy dissipation in the material, respectively. The results are applied to analyse the crack growth behaviour in the case of double cracks and compared with the classical method of Rivlin and Thomas (J Polym Sci 3:291–318, 1952), with which they show good agreement. As material a natural rubber, loaded with 20 phr carbon black, is used. The experiments were performed on a biaxial testing machine using an optical digital image correlation system to measure the local strain. Simultaneously, the thermal behaviour was determined by infrared thermography.
S. Dedova, K. Schneider
Including Temperature Effects in the Theory and Simulation of Problems in Rubber Reinforcement
Abstract
Both theory and simulation of polymer materials usually contain temperature as a variable – even though athermal models are not infrequent. Therefore, it is a futile effort to try presenting a comprehensive overview over all temperature-dependent results obtained thus far. The following approach is less ambitious, concentrating on three distinct examples utilizing different simulation strategies to overcome the so-called “scale problem.” This should provide the reader with an understanding of how to employ simulations creatively, combined with theory when needed, in the context of reinforced rubber materials.
Reinhard Hentschke
Deformation-Induced Structure and Temperature Evolution of Natural Rubber Vulcanizates Characterized by Advanced In Situ Experiments
Abstract
Natural rubber (NR) vulcanizates show deformation-induced structure evolution, e.g., crystallization, explaining the outstanding mechanical performance compared to other elastomers. In this study, combined in situ experiments were realized by synchronizing wide-angle X-ray scattering (WAXS) and infrared (IR) thermography on uniaxially deformed NR vulcanizates reinforced with different carbon black content. Thus, new experimental results were generated that characterize the structural evolution under deformation by a crystallization index and temperature change as a function of mechanical stress and stretch. Owing to the coupled methods, the following findings can be summarized: (i) deformation-induced crystallization is primarily controlled by the mechanical stress; (ii) at cyclic loading, hysteresis occurs and crystallites melt within a narrow stress range; (iii) IR thermography allows to follow crystallization as a function of deformation; (iv) the onset of crystallization causes a rapid increase in temperature, however, only a slight increase in stress; (v) deformation-induced crystallization shows a saturation plateau, which hardly changes with ongoing deformation; (vi) surface temperatures show a certain fluctuation that may indicate a non-uniform crystallite distribution.
E. Euchler, K. Schneider, A. K. Sambale, M. Schwartzkopf, S. Wießner
Theoretical and Experimental Characterization of Heat Transfer in Polymers and Elastomers: A Review
Abstract
Thermal conductivities represent one of the most important properties of polymer and elastomer materials that determine their final use in industry and research. Therefore, there exists a great interest to understand the inherent structure-property relations between the molecular structure and the thermal conductivity. The review summarizes approaches to calculate thermal conductivities ranging from macroscopic to microscopic level, whereas it is generally accepted that an appropriate design of new materials with optimized thermal properties is only accessible via knowledge-based bottom-up approaches. Both approaches – macroscopically and microscopically based – are presented in retrospect with their historical development. Supplementary to the theoretical view elaborated experimental methods are described with the focus on elastomers.
C. Breitkopf
A Review of Thermal Effects on Elastomer Durability
Abstract
The low thermal conductivity of elastomers means that frequently the material operates subject to a temperature gradient with high temperatures in the interior. Other times, elastomers are called to operate directly in higher temperature environments which can affect their properties or invoke aging. Thus, the temperature impact on material behavior is an important consideration in characterization and analysis. Temperature has many influences that can strongly impact structural response and durability, both in helpful and in detrimental ways. These include: elastic and dissipative properties, thermal expansion/contraction, strength and crack growth properties, strain crystallization, aging, and the resistance to thermal runaway. There are at least two parameters without a temperature sensitivity: intrinsic strength and crack precursor size. This review considers the characterization and modeling of the impact of temperature on durability, and includes examples computed with the Endurica fatigue solvers.
W. V. Mars, T. G. Ebbott
Metadaten
Titel
Advances in Understanding Thermal Effects in Rubber
herausgegeben von
Gert Heinrich
Reinhold Kipscholl
Jean-Benoît Le Cam
Radek Stoček
Copyright-Jahr
2024
Electronic ISBN
978-3-031-71056-8
Print ISBN
978-3-031-71055-1
DOI
https://doi.org/10.1007/978-3-031-71056-8

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