We consider a plane isotropic homogeneous elastic body with thin elastic inhomogeneities in the form of small neighborhoods of simple smooth curves. We derive a rigorous asymptotic expansion of the boundary displacement field as the thickness of the neighborhoods goes to zero.
An asymptotic formula for the displacement field in the presence of thin elastic inhomogeneities / E. Beretta; E. Francini. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - STAMPA. - 38:(2006), pp. 1249-1261. [10.1137/050648596]
An asymptotic formula for the displacement field in the presence of thin elastic inhomogeneities
FRANCINI, ELISA
2006
Abstract
We consider a plane isotropic homogeneous elastic body with thin elastic inhomogeneities in the form of small neighborhoods of simple smooth curves. We derive a rigorous asymptotic expansion of the boundary displacement field as the thickness of the neighborhoods goes to zero.
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