The effect of strain hardening and hardening rule on shakedown behavior is studied in a multiple normal interaction process of an elastic plastic sphere against a rigid flat using finite element software ANSYS under full stick contact condition. Seven to ten repeated loading cycles are considered in the interference controlled multiple normal loading unloading depending upon the maximum interference of loading. Emphasis is placed on wide range of tangent modulus by varying the hardening parameter within the range as found for most of the practical materials with both the kinematic and isotropic hardening model, which has not yet been investigated. It is found that with small tangent modulus, the cyclic loading process gradually converges into elastic shakedown with both kinematic and isotropic strain hardening laws; similar to recently published finite element based normal loading unloading results. The effect of strain hardening laws on shakedown behavior is pronounced at higher tangent modulus. The higher dimensionless interference of loading and higher tangent modulus increase the dimensionless dissipated energy with kinematic hardening rule. The load-interference hysteretic response with varying tangent modulus using both kinematic and isotropic hardening laws is interpreted in the context of elastic and plastic shakedown.
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