Simulation of Adhesives

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Fakultät Maschinenwesen Institut für Festkörpermechanik, Professur für Nichtlineare Festkörpermechanik Dynamore USER Forum in Bamberg 2014 Karl Plangger, Prof. Dr.-Ing. habil. V. Ulbricht

Agenda 1. Problem description 2. Mechanical behaviour of adhesives 3. Tension-compression test results in p-q diagram at 20 C 4. Tension test over temperature 5. Modeling of adhesives in LS-DYNA 6. MAT124 and MAT252 7. Forecast Folie 1 von 14

1. Problem description Gluingjoints areoften used as Joiningtechnic in optoelektronics. Virtuel prototyping process with FEA for future requested. Important are the following points: 1. Influence of the gluing process. 2. Influence of thermal and mechanical loads. System behaviour in respect to the loads. Reversibe and irreversile drift of the system should analysed. Optimization of the system (minimization of drift effects). Develope compensation models (reversible drift effects). Folie 2 von 14

2. Mechanical behaviour of adhesives The mechanical behaviour of adhesives are similar to plastics: 1. Dependency from the hydrostatic pressure 2. Compressible in the plastic area. 3. Temperature and rate dependency. Small gluing gaps induce a triaxial stress (obstruction of the lateral contraction). Influence of the Poission ratio! See publications from Prof. Schlimmer, Prof. Matzenmiller, etc. The VON MISES plasticity couldn t used for the modeling of the material behaviour of adhesive joints(plastic incompressible and no tension-compression asymmetrie)! Folie 3 von 14

3.1 Tension-, Compression test ordinate normed to R p20 C! The comparision of tension- and compression-test show the asymmetric material behaviour of the epoxy adhesive. Folie 4 von 14

3.2 Tension-compression test results p-q diagram at 20 C ordinate normed to R p20 C! Shear test The linear Drucker-Prager model is a better model for this adhesive. The shear test results must be qualified with new results. Folie 5 von 14

3.3 Tension test over temperature ordinate normed to R p20 C! Static tension-, compression-, tension-shear-, torsion-shear- and 3-point bending test was done on the IWS Frauenhofer Institute in Dresden Simulation with only a viscoplastic materialmodel isn`t possible! Dynamic 3-point bending test s (4a) over temperature have been done. Folie 6 von 14

4. Temperature dependency of the poission ratio Higher measurement failure until λ= = 1.005! Poisson ratio as a result of the Hencky strain! Lense-shaped holes - Crazing: material damage at this strain level! Could be used to model a Contiuum damage model (CDM) acc. LeMaitre, Kachanov, etc.). Could be used to define the max. strain for the material! At 20 C the poission ration decrease from λ = 1.13 increase of compressibility mean a decrease of the poission ratio (Crazing!). Influence of the strain definition to the Poission ratio see: O. STARKOVA; A. ANISKEVICH: Polymere Testing 29 (2010) 310-318, University of Latvia Riga Folie 7 von 14

numerical modeling of adhesive joints in LS-DYNA Folie 8 von 14

5. Modeling of adhesives in LS-DYNA Chemical shrinkage with *LOAD_VOLUME_LOSS. Thermal shrinkage with *MAT_ADD_THERMAL_EXPANSION. Material dependency from I 1 -J 2 (MAT124/ MAT187/ MAT252 no temperature dependency). Different Youngmodul in tension and compression (MAT124). Material dependency from ϑ (MAT106 only with J 2 -plasticity) Also available for implizite simulations (MAT124/MAT106). Cohesive Zone Elements for big assemblys. Influence of poission ratio (over temperature none Materialmodel). Now there is no material modell available which allow the simulation of the mechanical and the thermal behaviour of elastoplastic adhesives. Folie 9 von 14

6.1 MAT124 Tension-Compression Tension-Test simulation Test results Compression-Test MAT124 allow the simulation of the tension-compression asymmetrie. The simulationmodelshowa goodaccuracytothetest. Folie 10 von 14

6.2 MAT_124 three-point bending test test MAT_124 (different compression modul) MAT_24 MAT_187 and MAT_124 (only with tension modul) The test were simulated with MAT_124 from the tension-compression optimized model. MAT_24 (von MisesPlasticity) showa bigdifferencetothetest. MAT_124 show a very good simulation result compared with the test. MAT_187 looksalso verygood but it`snot so goodasmat_124. MAT_124 withonlya tensionmodulshowthesame performanceas Mat_187. Folie 11 von 14

6.3 MAT252 (MAT_THOUGHENED_ADHESIVE_POLYMERE In tension area CAP-Model and in compressionlineare DRUCKER-PRAGER: Quelle: LS-DYNA Keyword Manual Vol. II Material Models 19 Mai 2014 Version R7.1 (Revision 5442) With a flag in the compressionarea the von MISES Model will be activated! Folie 12 von 14

7. Forcast Finish the analysing of the test results evaluation of the temperature dependet material model and definition of the material characterization process. A updated Materialmodell must have the possibility for the definition of different Young`s Modul for tension and compression. Upgrading of MAT 252 with the tangent stiffness and the temperature dependency. OR Implementation of the SCHLIMMER-MAHNKEN MAHNKEN material modell (was implemented in ANSYS and ABAQUS in the past) and upgrading with the temperature dependency. Folie 13 von 14

Folie 14 von 14