Chapter 10

Research Progress and Challenges of X-FEM


In the preceding chapters, the developments and applications of X-FEM in traditional mechanics research areas, like macro-scale fracture mechanics, plate and shell fractures, heterogeneous and composite materials, two-phase flows, etc., have been reviewed. According to recent work in the author’s group in the field of micro- and nano-scale research, we will review the broad progress and challenges of X-FEM in this chapter in micro- and nano-scale mechanics, multi-scale computation, and other new fields.


Nanomechanics; multi-scale computation; deformation localization; dislocation evaluation

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