Study report about numerical approaches, Lecture notes of Computer Science

The finite element method (FEM) is a numerical method for solving problems of engineering and mathematical physics. It is also referred to as finite element analysis (FEA). Typical problem areas of interest include structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential.

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Thermal and mechanical behaviour of an RFID based smart system embedded in a
transmission belt determined by FEM simulations for Industry 4.0 applications
Jan Albrecht, Rainer Dudek, Jilrgen Auersperg, Remi Pantou, Sven Rzepka
Fraunhofer ENAS, Micro Materials Center,
Technologie-Campus 3, 09126 Chemnitz, Germany
[email protected]; +49-371-4500-1424
Abstract
The determination of the mechanical and thermo
mechanical behaviour of a UHF-RFID-based smart
system embedded in a transmission belt has been the goal
of the work reported in this paper. The complex bending
and thermal loads occurring during fabrication and
service are taken into account by finite element
simulations using ABAQUS standard. In order to
achieve quantitatively correct results, dynamic
mechanical analyses using DMA Q800, DMA 2000+ as
well as thermo-mechanical analyses using TMA Q400
have been performed to characterize the behaviour of the
different materials. The results of the finite element
analyses match the experimental observations very well.
Therefore, recommendations for design optimization
could be deduced that prevent early and fatigue failures of
the smart system inside the transmission belt.
1. Introduction
Today's economy is changed by a fourth industrial
revolution. The computerization of the manufacturing
industry as seen in the past decades will now be
complemented by the connection of all machines, work
pieces, and systems to a comprehensive information
network covering the entire value chain. This 'Industry
4.0' approach brings unprecedented flexibility even to
mass production settings. Therefore, it allows the
combination of highest fabrication efficiency with a most
consequent individualization of the products according to
the actual needs of the customers.
Smart systems are the key hardware elements needed
for 'Industry 4.0'. They consist of sensors for signal
generation, nanoelectronics for signal processing and
communication, and are fabricated as highly miniaturized
modules, which can be directly integrated into the
respective machine parts or work pieces. Based on RFID
(radio frequency identification) technologies, data and
energy transfer can be organized wirelessly providing
autonomy and internet connectivity at the same time [1].
One example of such a smart system is the RFID
based transponder module (see Fig. I), which is integrated
into a transmission belt [2]. The belt is used in various
industrial and agricultural applications. The purpose of
the embedded smart system is to obtain and to
communicate all information needed from the belt at work
for optimizing its operation and for scheduling preventive
maintenance activities. Some similar work is shown in [3]
were a RFID tag is embedded into a tire. However, no
investigations have been reported so far dedicated to the
reliability of such an embedded system. In order to
provide the functionality, the embedded smart system
must reliably withstand all mechanical and thermal loads
that occur during fabrication and operation of the belt.
During fabricating, temperatures in excess of 180°C and
high pressures are applied. In consequence, a substantial
material shrinkage occurs during these vulcanization
processes so that large thermo-mechanical stresses are
induced into the smart system as well as at its interfaces
to the rubber composite material of the belt. During
operation, frequent cyclic bending as well as tension and
various pulse loads of high magnitudes occur. They cause
frictional self-heating of the belt with the consequence of
thermal expansion. The smart system must endure all the
thermal and mechanical stresses caused by this complex
cyclic dynamic load situation. These loadings also applied
to the implemented tag which can be reduced by
positioning the tag close to the neutral fibre of the belt,
which means close to the embedded cords.
RFID-tag
Figure 1: RFID-tag
components
FR4 substrate
To model the behaviour close to reality, appropriate
material parameters have to be determined by
experimental tests and transferred into material laws. The
behaviour of belts under bending loads has been
investigated for instance in [4].
The base material of the tag is FR4, a glass-reinforced
epoxy laminate with an orthotropic material behaviour.
The material properties could be used from former
investigations. The embedded die within the tag is
assumed as bulk silicon. All other components of the
smart system like the antenna and the electronic
components beside the die are neglected.
The ethylene-propylene-diene (EPDM) material
(elastomer) of the belt can be described by hyperelastic
material laws, which means that the material is nearly
incompressible under pressure and exhibits large strains
under tension. The behaviour is markedly nonlinear. To
describe this behaviour, various material laws with
different ranges of validity exist like NeoHook, Mooney
Rivlin, Odgen, Arruda-Boyce etc. (Fehler!
Verweisquelle konnte nicht gefunden werden.) [5-8].
978-1-4799-9950-7/15/$31.00 ©2015 IEEE -1/5-
2015 16th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems
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Thermal and mechanical behaviour of an RFID based smart system embedded in a

transmission belt determined by FEM simulations for Industry 4.0 applications

Jan Albrecht, Rainer Dudek, Jilrgen Auersperg, Remi Pantou, Sven Rzepka Fraunhofer ENAS, Micro Materials Center, Technologie-Campus 3, 09126 Chemnitz, Germany [email protected]; +49-371-4500-

Abstract The determination of the mechanical and thermo mechanical behaviour of a UHF-RFID-based smart system embedded in a transmission belt has been the goal of the work reported in this paper. The complex bending and thermal loads occurring during fabrication and service are taken into account by finite element simulations using ABAQUS standard™. In order to achieve quantitatively correct results, dynamic mechanical analyses using DMA Q800, DMA 2000+ as well as thermo-mechanical analyses using TMA Q have been performed to characterize the behaviour of the different materials. The results of the finite element analyses match the experimental observations very well. Therefore, recommendations for design optimization could be deduced that prevent early and fatigue failures of the smart system inside the transmission belt.

  1. Introduction Today's economy is changed by a fourth industrial revolution. The computerization of the manufacturing industry as seen in the past decades will now be complemented by the connection of all machines, work pieces, and systems to a comprehensive information network covering the entire value chain. This 'Industry 4.0' approach brings unprecedented flexibility even to mass production settings. Therefore, it allows the combination of highest fabrication efficiency with a most consequent individualization of the products according to the actual needs of the customers. Smart systems are the key hardware elements needed for 'Industry 4.0'. They consist of sensors for signal generation, nanoelectronics for signal processing and communication, and are fabricated as highly miniaturized modules, which can be directly integrated into the respective machine parts or work pieces. Based on RFID (radio frequency identification) technologies, data and energy transfer can be organized wirelessly providing autonomy and internet connectivity at the same time [1]. One example of such a smart system is the RFID based transponder module (see Fig. I), which is integrated into a transmission belt [2]. The belt is used in various industrial and agricultural applications. The purpose of the embedded smart system is to obtain and to communicate all information needed from the belt at work for optimizing its operation and for scheduling preventive maintenance activities. Some similar work is shown in [3] were a RFID tag is embedded into a tire. However, no investigations have been reported so far dedicated to the reliability of such an embedded system. In order to

provide the functionality, the embedded smart system must reliably withstand all mechanical and thermal loads that occur during fabrication and operation of the belt. During fabricating, temperatures in excess of 180°C and high pressures are applied. In consequence, a substantial material shrinkage occurs during these vulcanization processes so that large thermo-mechanical stresses are induced into the smart system as well as at its interfaces to the rubber composite material of the belt. During operation, frequent cyclic bending as well as tension and various pulse loads of high magnitudes occur. They cause frictional self-heating of the belt with the consequence of thermal expansion. The smart system must endure all the thermal and mechanical stresses caused by this complex cyclic dynamic load situation. These loadings also applied to the implemented tag which can be reduced by positioning the tag close to the neutral fibre of the belt, which means close to the embedded cords.

RFID-tag

Figure 1: RFID-tag

components FR4 substrate

To model the behaviour close to reality, appropriate material parameters have to be determined by experimental tests and transferred into material laws. The behaviour of belts under bending loads has been investigated for instance in [4]. The base material of the tag is FR4, a glass-reinforced epoxy laminate with an orthotropic material behaviour. The material properties could be used from former investigations. The embedded die within the tag is assumed as bulk silicon. All other components of the smart system like the antenna and the electronic components beside the die are neglected. The ethylene-propylene-diene (EPDM) material (elastomer) of the belt can be described by hyperelastic material laws, which means that the material is nearly incompressible under pressure and exhibits large strains under tension. The behaviour is markedly nonlinear. To describe this behaviour, various material laws with different ranges of validity exist like NeoHook, Mooney Rivlin, Odgen, Arruda-Boyce etc. (Fehler! Verweisquelle konnte nicht gefunden werden.) [5-8].

978-1-4799-9950-7/15/$31.00 ©2015 IEEE -1/5-

Table 1: Hyperelastic material models [9J

model applied strain range Neo-Hookean upto 30 % Mooney-Rivlin < 100 % (2nd + 3rd order) < 200 % (5th + 9th order) Ogden upto 700 % Yeoh <300% Polynomial <300%

In this work, the 2nd order Mooney-Rivlin model has been used. It combines a sufficiently large strain range with only three parameters to be determined. As shown in [10], the hyperelastic material model is based on the strain energy potential U

U =u(II,!2,J) (I)

which is a function of I) and 12 as first and second

invariant of the deviatoric stretch matrix, respectively, and J as the volume change, while the strain (stretch) A is defined by: A, = (^1) + &" (^) (2)

In case of the Mooney-Rivlin relation, (1) is defmed by:

u=c1o(II -3)+Co1(12 -3)+_1 (Je/-1)

(^2) (3) D where D1, C)o and CO) are material parameters. The last

term of equation (3) describes the compressibility of the material. It becomes zero when the material is fully incompressible. Then, C10 and CoI are the only

parameters left to be determined by the tensile tests.

  1. Experimental investigation The characterization of the different materials has been done using DMA Q800, DMA 2000+ and T1RA 2820 for the mechanical tests and a TMA Q400 for determining the coefficient of thermal expansion (CTE). Figure 2 shows the various material layers of the belt. Beginning from the top (right picture), the belt is covered with an embedded woven fabric with threads orientated 45 ° to the belt direction. The cover layer of belt just protects the top surface and has no remarkable effect on the structural stiffness. Therefore, it is neglected in the simulation. Beneath, there is a layer of EPDM reinforced by short aramid fibres. The following layer supports the tensile load of the belt and consists of aramid threads embedded in pure EPDM. The remaining material is EPDM filled with aramid fibres (white dots). The effect of these short aramid fibres is described in [11] for instance. The samples for the material investigation were fabricated under the same conditions like the original belt. Flat sheets of rubber material (EPDM) have been used for the DMA and tension measurement. These sheets have been built up by vulcanization of two and three layers.

Figure 2: Cross-section showing the different material

layers, left: side view, right: cross-section in

belt direction

The specimens for the dynamic mechanical analysis (DMA) were 20.0 mm x 9.5 mm x 2.3 mm in size. The tests applied the tensile load with a frequency of 1 Hz and within a temperature range from -50°C to 150 °C. The thermo-mechanical analyses (TMA) for obtaining the CTE used specimens of 6.0 mm x 9.5 mm x 2.3 mm in size. The parameters of the Mooney Rivlin equation describing the hyperelastic material behaviour utilized specimens with two and three layers of the EPDM and fiber material in the tensile tests along the longitudinal and transversal directions, respectively. FE simulation of the tensile tests and OptiSlang parameter identification was employed to calibrate the Mooney-Rivlin parameters according to equation (3). Beside the classical analytical equation, these FE models consider the pressure of the clamp during the fixing process in addition.

  1. Results and Discussion of the experimental investigations Figure 3 shows the results of the tensile test of the EPDM material. It was found that the number of the material layer has no influence on the mechanical behaviour. As seen in Fig. 3a, the stress-strain curves for the EPDM material are the same for samples with two (2L) or three layers (3L). However, the load direction has a strong influence as it can clearly be seen in Figure 3b. The longitudinal test resulted in much higher stiffness as the short fibres are embedded in this direction and results in a shearing effect between the matrix and the fibre. Perpendicular to these fibres, the material response is mainly described by the EPDM matrix material. In all cases, the stiffness showed a somewhat nonlinear behaviour. Comparable results have been found in [12]. For simplification, the EPDM material with the embedded short fibres is modelled as isotropic structure in the fmite element simulation with the stress-strain response of the measured longitudinal loading direction. This choice follows the assumption that the stiffer material leads to higher stresses in the embedded tag, which is more critical. The simulated stress-strain curve using determined Mooney-Rivlin parameters is shown in Fig. 3d. The FE-model of the tensile specimens is shown in Fig. 3c, respectively. The obtained parameters (Table
  1. match the experimental results very well. It must be considered that no tests have been carried out under

em bedded tag

Figure 7: Position of the sub model within the global

model and global model with the embedded

rebar elements modelling the cord-layer

The thermally induced stress is evaluated by cooling down the belt from its stress free state at 180 °C to 20 °C. During the vulcanization process the change of the temperature is slow, therefore the temperature field inside the belt is assumed as homogenous. The length of the belt is constraint during the vulcanisation process. The bending process of the belt with the axial preload has been modelled by superimposing the two following steps. The first one is the bending around the pulley and the second one is the impinging of the axial load. Any thermal heating due to mechanical loads was neglected.

  1. Results and discussion of the FE-analysis The cooling of the global model from 180°C down to 20°C leads to tensi Ie stresses in the cord threads of around 55 MPa. These cords support the main tensile load. The highest stresses in the EPDM material are around 10 MPa with the maximum at the necks. The tag within the sub model is mainly stressed by high pressure due to the shrinkage of the surrounding material. The die is completely exposed to compressive stress of 10-40 MPa except for the area underneath the die. There, tensile stress occurs mainly caused by the mismatch of the thermal expansion between FR4 and die. The tensile stress magnitude of 40 MPa is far less than the tensile strength of around 240 MPa [16, 17]. In the FE analysis, the RFID-tag is assumed to be stress free at the maximum temperature of 180°C, which is a strong simplification, because there are initial stresses inside the tag originating from the manufacturing process of the tag itself. This initial stresses have not been considered in the recent study. Through all loading steps, the die is subjected to high pressure load of around -380 MPa after the cool down step and -480 MPa after the followed mechanical bending step (see Fig. 8). It can be assumed that this pressure load may not lead to any damage inside the tag.

thermal thermal + mechanical 511 [MPa] 100 o

500 533 [MPa] 100 o

00

Figure 8: Thermal-mechanical load applied to the

embedded RFID-tag and the die

S11[MPaj

i 500

y� (^) ,

S33[MPaj

[" 0

Figure 9: Thermal-mechanical load applied to the

embedded RFID-tag and the silicon die

However, the interface toughness between the FR4 tag material and the EPDM material is not well understood. Between the tag and the EPDM material shear stresses between 16 MPa and -26 MPa occur at the edges of the tag (see Fig. 10). The sharp edges also increase the risk of crack initiation into the rubber material. This can be reduced by rounding theses edges. Within this investigation, the thermal-mechanical load due to the heat of the tag up to the vulcanisation temperature has not been investigated.

S23[MPaj

o

Figure 10: Shear stresses at the edges of the embedded

RFID-tag

  1. Conclusion The thermal-mechanical behaviour of an implemented RFID-tag embedded within a transmission belt has been investigated utilizing finite element analysis. One focus of interest has been the determination of material parameters. For the rubber material EPDM, the Mooney Rivlin constants have been determined using tensile test. Furthermore, the CTE has been determined using a TMA Q400. In general, the behaviour of the EPDM filled with short aramid fibres is anisotropic and nonlinear. The FE-investigation has shown that the embedded tag is subjected to pressure load which supports the embedding of the tag within the belt. No critical stress has
  • 4 /5 -

been detected inside the tag. However, the interface behaviour between the tag and the surrounding rubber material is not well understood yet and requires further investigation. In particular, delamination processes at the interface are not debarred although they may not be too critical due to the surrounding pressure.

Acknowledgments Part of this work has been supported by the German government within the project 'smartFIT' (FKZ: KF2427003KM3). Financial support from BMWi is gratefully acknowledged. The authors thank Dr. Kaulfersch for his helpful advices and Mrs. KreyJ3ig for help at the material testing. They are also grateful to Mr. Tchouangte and Mr. Scheele from OPTIBELT for providing samples for the material characterization and Mr. Bilker for the legwork. References I. Yang, Li, Rida, A., Li, J.: "Antenna advancement techniques and integration of RFID electronics on organic substrates for UHF RFID applications in automotive sensing and vehicle security", Vehicular Technology Conference, IEEE 66th, pp. 2040-2041, 2007

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RFID Technology and Applications Conference, [EEE, pp. 97-[02, 2014

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Electronic Components and Technology Conference, pp. 867-870, 2005

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, Master Thesis, University of Toronto, Department of Mechanical and Industrial Engineering, pp. 92, 2010

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, Journal of Mechanics and Physics of Solids, Vol. 41, No. 2, pp. 389-412, 1993

  1. Ogden, R. W.: "Large deformation isotropic elasticity on the correlation of theory and experiment for incompressible rubberlike solids", Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 326, No. 1567, pp. 565-584, 1972
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, PhD Thesis, University of Twente, Netherlands, pp. 1-162, 2012

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