Nonlocal simulation of failure evolution with MD and MPM: A case study

Z Chen and Y Su and J Tao and FM Pfeiffer, ADVANCES IN ENGINEERING MATERIALS, STRUCTURES AND SYSTEMS: INNOVATIONS, MECHANICS AND APPLICATIONS, 314-319 (2019).

There are two types of numerical methods available for simulating failure evolution, namely, continuous and discontinuous ones. Molecular dynamics (MD) is a representative example of discontinuous methods, in which a cut-off radius associated with the discrete forcing function for a given molecule is specified to describe the interactions among this molecule and other molecules within a domain of influence. On the other hand, the material point method (MPM) is a continuum-based particle method, in which a constitutive model is required for a given material point such that the interaction among this material point and other points is described via the first and higher order gradients of deformations. In this work, a case study is conducted to compare the numerical results as obtained with both MD and MPM in simulating an impact test to evaluate cartilage failure, with a focus on the nonlocal feature due to a size effect.

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