This contribution illustrates the use of displacement discontinuities in regularised media in the description of mode-Ⅰ and mode-Ⅱ failure. Displacement discontinuities are incorporated using the partition of unity property of finite-element shape functions. A combined continuous-discontinuous approach is proposed in which a discontinuity is only inserted after a certain amount of damage. Various examples illustrate the applicability of the approach to granular and quasi-brittle materials.
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