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Using the eXtended Finite Element Method (XFEM), an imperfect interface stiffness coefficient is put forward to consider the cohesiveness between rock and soil without altering the underlying regular mesh. Consequently, a Representative Elementary Volume (REV) containing rock aggregates within the soil matrix is adopted at the meso-scale level to estimate the homogenized properties at the macro-scale. The medium is idealized as a periodic environment. In this paper, a two-dimensional computational homogenization model is utilized to investigate the elastic stiffness properties of soil-rock mixtures (S-RMs).
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Although the code is focused on solving problems in linear elasticity, it is straightforward to modify it to solve other physical equations. This paper presents an open source hp-adaptive discontinuous Galerkin finite element code written in MATLAB that has been explicitly designed to make it easy for users, especially MSc/PhD-level researchers, to understand the method and implement new ideas within the core code.
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The majority of existing open source discontinuous Galerkin finite element codes are written in C++ and there is a significant learning curve for junior researchers to adopt, understand and modify the underlying code/routines. Existing codes may provide an environment for researchers to quickly test out their ideas under different physical conditions in a high level way but they are not always ideal for those interested in the development of numerical methods. However, many of these codes have not been developed with modification of the base code as their primary consideration.
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Open source codes are a key ingredient to greater research integrity and accountability in computational science and engineering.