Softening, localisation and adaptive remeshing. Capture of discontinuous solutions

摘要

Two approaches have been used in finite element studies of discontinuities (shocks) in fluid mechanics. These are discontinuity capture using suitable mesh adaptivity and discontinuity fitting by introduction of discontinuous shape functions in the formulation. Both procedures have been now used successfully in solid mechanics, but the paper discusses the particular advantages of the adaptive process. The causes of discontinuity in plastic failure are reviewed and differences from the analogous fluid mechanics problems are discussed.