DOI: 10.68381/jca15013 ISSN: 0944-6532

A Lower Semicontinuity Result in SBD

Giuliano Gargiulo, Elvira Zappale
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A lower semicontinuity result is proved in the space of special functions of bounded deformation for a fracture energetic model according to Barenblatt's theory, i.e.

\int_{J_{u}} \varphi([u] \cdot \nu_{u})d {\cal H}^{N-1} \enspace, \enspace [u]\cdot \nu_u \geq 0 \enspace {\cal H}^{N-1} - \hbox{ a.e. on }J_u. ∫ J u φ ( [ u ] ⋅ ν u ) d H N − 1 , [ u ] ⋅ ν u ≥ 0 H N − 1 −  a.e. on  J u .

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