Classical and Advanced Theories of Thin Structures: Mechanical and Mathematical Aspects
Suggested readings
M. Ball, F. Murat, W1,p – quasiconvexity and variational problems for multiple integrals, J. Funct. Anal., 58, 225–253, 1984.
G. Dal Maso, An Introduction to Gamma-Convergence, Birkhäuser, 1993.
H. Le Dret, A. Raoult, The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity, J. Math. Pures Appl., 74, 549–578, 1995.
P.G. Ciarlet, Mathematical Elasticity, Volume 1,2,3. North-Holland, 2000.
G. Anzellotti, S. Baldo, D. Percivale, Dimension reduction in variational problems, asymptotic development in Gamma-convergence and thin structures in elasticity, Asymptotic Anal., 9(1), 61–100, 1994.
G. Friesecke, R.D. James, S. Müller, A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity, Comm. Pure Appl. Math., 55, 11, 1461–1506, 2002.
P. Podio-Guidugli, A primer in elasticity, J. Elasticity, 58(1), 1–104, 2000.