3d-2d Asymptotic Analysis for Inhomogeneous Thin Films
نویسندگان
چکیده
A dimension reduction analysis is undertaken using ?-convergence techniques within a relaxation theory for 3D nonlinear elastic thin domains of the form where ! is a bounded domain of R 2 and f" is an "-dependent proole. An abstract representation of the eeective 2D energy is obtained, and speciic characterizations are found for nonhomogeneous plate models, periodic pro-les, and within the context of optimal design for thin lms.
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تاریخ انتشار 2007