Abstract
A calibration of the Johnson’s damage model is proposed by using a Bayesian approach. A set of 3 parameters has to be adjusted. For this purpose, free surface velocities of 7 plate impact experiments leading to spallation in targets of tantalum are used. The resulting distributions of probability indicate several potential values for each parameters. Each of them used in an hydrocode leads to good agreement with reference free surface velocities.
Highlights
Spallation is one of the major mechanisms encountered in dynamic experiments [1]
Spalling rupture consists in a physical separation of matter among a plane parallel to the propagation of the shock front
A good agreement with experimental data is obtained with these different parameters
Summary
Spallation is one of the major mechanisms encountered in dynamic experiments [1]. It occurs after an intense and local tensile loading in the material. Damage and rupture events are governed by plastic deformation around voids that nucleate, grow and join each other in order to form a macroscopic crack called spall. Hollow sphere models allow an accurate description of void growth in spall experiments [2, 3]. They introduce a minimal number of parameters, adjusted by comparison to experiments dedicated to damage observation. We use a Bayesian approach [4–6] and a comparison to dedicated experiments
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