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Biaxial bulge testing of thin films and foils. Miroslav Cieslar Faculty of Mathematics and Physics Charles University, Prague Czech Republic. J.L. Martin, A. Karimi: EPFL Lausanne, Switzerland C. Fressengeas: LPMM, Universit é de Metz, France. Schedule.
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Biaxial bulge testing of thin films and foils Miroslav Cieslar Faculty of Mathematics and Physics Charles University, Prague Czech Republic J.L. Martin, A. Karimi: EPFL Lausanne, Switzerland C. Fressengeas: LPMM, Université de Metz, France
Schedule • Introduction to small structure testing • Bulge test • Applications • Recrystallization of thin foils • Plastic instabilities in Al foils • Plastic deformation of thin metallic films
Most common experimental methods • Films adhered to substrate • Nanoindentation (hardness, modulus) • Microbeam bending (fatigue, bending) • Wafer curvature (biaxial strain, thermal fatigue) • Free standing films • Tensile test (difficult sample preparation) • Microbeam bending • Biaxial bulge test
Biaxial bulge test Industrial requirements for reliable biaxial tests Testing of membranes in micro- and nano-devices Finstocks for heat exchangers
Biaxial bulge test Spherical cap model
Biaxial test with a constant fluid flow-rate Stress [MPa] Time [s]
Biaxial test under constant stress-rate Stress-rate [MPa/s] Time [s]
Element Fe Si Cu Mn Mg Zn Ti Al wt. % 0.51 0.61 0.007 0.020 0.0066 0.022 0.024 bal. Examples • Thin Al-Fe-Si foils (thickness 8.5 mm)
Recrystallization of thin foils Stress – strain curves obtained from bulge tests during prestraining and after annealing at indicated temperatures.
Yield stress variation of predeformed aluminium foils with annealing temperature
Microstructure after predeformation and annealing initial 200 °C 380 °C 590 °C
Stability analysis Constitutive equation Homogeneous solution Evolution of perturbations
Stability analysis The rate of perturbations growth Instability grow w>0
Stability analysis For positive SRS se~єen Hill’s criterion For negative SRS
Simulations Ring-shaped zone of localized intense strain rate
Thin film plastic deformation Biaxial plastic deformation of Al thin films
Biaxial plastic deformation of Al thin films Influence of temperature
Biaxial plastic deformation of Al thin films Creep-fatigue tests Variation of maximum strain with the number of cycles Deformation loops received during cycling
Deformation processes in Al-Zn-Mg-Cu thin films 4 m thin films from AA 7075 alloy