A Density Result in Two-Dimensional Linearized Elasticity, and Applications
Chambolle, Antonin (2003), A Density Result in Two-Dimensional Linearized Elasticity, and Applications, Archive for Rational Mechanics and Analysis, 167, 3, p. 211-233. http://dx.doi.org/10.1007/s00205-002-0240-7
TypeArticle accepté pour publication ou publié
Journal nameArchive for Rational Mechanics and Analysis
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Abstract (EN)We show that in a two-dimensional bounded open set whose complement has a finite number of connected components, the vector fields uH 1 (Ωℝ2) are dense in the space of fields whose symmetrized gradient e(u) is in L 2 (Ωℝ4). This allows us to show the continuity of some linearized elasticity problems with respect to variations of the set, with applications to shape optimization or the study of crack evolution.
Subjects / KeywordsOptimization; Geometrical shape; Modeling; Two dimensional model
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