Abstract
We study the homogenization of a linearly elastic energy defined on a periodic collection of disconnected sets with a unilateral condition on the contact region between two such sets, with the model of a brick wall in mind. Using the language of Γ-convergence we show that the limit homogenized behavior of such an energy can be described on the space of functions with bounded deformation using the masonry-type functionals studied by Anzellotti, Giaquinta and Giusti. In this case, the limit energy density is given by the homogenization formula related to the brick-wall type energy.
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© 2006 Birkhäuser Verlag Basel/Switzerland
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Braides, A., Chiadò Piat, V. (2006). Another Brick in the Wall. In: dal Maso, G., DeSimone, A., Tomarelli, F. (eds) Variational Problems in Materials Science. Progress in Nonlinear Differential Equations and Their Applications, vol 68. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7565-5_2
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DOI: https://doi.org/10.1007/3-7643-7565-5_2
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