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The Material Point Method (MPM) has gained space in dynamics problems. In geotechnical engineering this problems appear in areas like foundations of machines, earthquakes, wave attack, construction of sand compaction piles and others. In dynamical simulations is very common to occur loading and unloading paths. Proper constitutive models have to be used to consider the irreversible deformations that can appear in cyclic loading. In this paper, the SubCam model is implemented in a code of MPM. This model introduces the concept of subloading surface to the well-known Modified Cam Clay model (MCC). Consequently, a smooth transition between the elastic and elasto-plastic behavior of the soil is obtained. Moreover, plastic strains are developed inside the yield surface, as it is observed in real tests. The model introduces only one more parameter than the MCC. Therefore, more realistic results can be obtained with little increment of effort. The fundamental discrepancies in the implementation of the model compared to the MCC are also presented in this paper. The SubCam model can better reproduce the behavior of the soil and it's easier to implement. Cyclic oedometric compression tests are simulated as benchmarks to evaluate the implementation of the model and compared to a laboratory real test. Also, the response of the model to different values of the new parameter is evaluated.
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