Numerical studies on the heat dissipation process in elastomers under rotating loading direction

Mohamed A. Abdelmoniem1, Bülent Yagimli1
1Faculty of Mechanical Engineering, Ostfalia University of Applied Sciences, Wolfenbüttel, Germany

Tóm tắt

AbstractElastomeric components such as car bearings and vibration dampers are subjected to dynamic loads with various amplitudes and loading directions during operation. To better understand the lifetime expectancy of these components it is required to implement a material model that sufficiently accounts for the material thermo-mechanical behaviour. This paper implements a finite viscoelastic model which includes heat dissipation and addresses the effect of inelasticity on the self-heating and the applied loading conditions. The material model is implemented in a user subroutine and finite element calculations are carried out on a simple shear loading with rotating directions. The self-heating effect and the resulting variation of the dissipation induced forces are shown and discussed. With the aid of the presented material model, thermo-mechanically coupled simulations can be performed. Based on the results, the required loading limits and boundary conditions for the mechanical fatigue tests can be defined to minimise the thermal fatigue effects.

Từ khóa


Tài liệu tham khảo

Behnke R, Kaliske M (2013) Computation of energy dissipation in visco-elastic materials at finite deformation. PAMM 13(1):159–160

Berjamin H, Destrade M, Parnell WJ (2021) On the thermodynamic consistency of quasi-linear viscoelastic models for soft solids. Mech Res Commun 111:103648

Besdo Dieter, Ihlemann Jörn (2003) A phenomenological constitutive model for rubberlike materials and its numerical applications. Int J Plast 19(7):1019–1036

Chadwick P (1974) Thermo-mechanics of rubberlike materials. Philos Trans Roy Soc Lond A Math Phys Sci 276(1260):371–403

Coleman BD, Gurtin ME (1967) Thermodynamics with internal state variables. J Chem Phys 47(2):597–613

Coleman BD, Walter N (1974) The thermodynamics of elastic materials with heat conduction and viscosity. The Foundations of Mechanics and Thermodynamics. Springer, Berlin, Heidelberg, pp 145–156

Dippel B, Johlitz M, Lion A (2015) Thermo-mechanical couplings in elastomers-experiments and modelling. ZAMM J Appl Math Mech 95(11):1117–1128

Freund M (2006) Optimierung einer Probekörpergeometrie für einfache Scherdeformationen. Institut für Kontinuumsmechanik, Masterarbeit

Gent AN (1960) Simple rotary dynamic testing machine. Br J Appl Phys 11:165

Haupt P, Lion A (2002) On finite linear viscoelasticity of incompressible isotropic materials. Acta Mech 159(1):87–124

Holzapfel GA, Juan S, C, (1996) A new viscoelastic constitutive model for continuous media at finite thermomechanical changes. Int J Solids Struct 33(20–22):3019–3034

Johlitz M, Dippel B, Lion Al (2016) Dissipative heating of elastomers: a new modelling approach based on finite and coupled thermomechanics. Continuum Mech Thermodyn 28(4):1111–1125

Juhre D et al (2011) Some remarks on influence of inelasticity on fatigue life of filled elastomers. Plast Rubber Compos 40(4):180–184

Klauke DIR (2016) Lebensdauervorhersage mehrachsig belasteter Elastomerbauteile unter besonderer Berücksichtigung rotierender Beanspruchungsrichtungen

Schroeder J, Lion A, Michael J (2019) On the derivation and application of a finite strain thermo-viscoelastic material model for rubber components. State of the art and future trends in material modelling. Springer, Cham, pp 325–348

Schroeder J, Lion A, Michael J (2021) Numerical studies on the self-heating phenomenon of elastomers based on finite thermoviscoelasticity. J Rubber Res 6:100054

Simo JC (1987) On a fully three-dimensional finite-strain viscoelastic damage model: formulation and computational aspects. Comput Methods Appl Mech Eng 60(2):153–173

Simo JC, Hughes TJR (1998) Computational inelasticity. Springer-Verlag, New York, pp 349–386

Williams ML, Landel RF, Ferry JD (1955) The temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids. J Am Chem Soc 77(14):3701–3707

Yagimli B (2013) Kontinuumsmechanische Betrachtung von Aushärtevorgängen: Experimente, thermomechanische Materialmodellierung und numerische Umsetzung. Verlag Dr. Hut