21 citations · 55 across the 16 of their papers we have counts for
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math.AP2008
The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells
Marta Lewicka, Maria Giovanna Mora, Mohammad Reza Pakzad
Using the notion of Gamma-convergence, we discuss the limiting behavior of the 3d nonlinear elastic energy for thin elliptic shells, as their thickness h converges to zero, under t…
math-ph2008★ 3 cited
A nonlinear theory for shells with slowly varying thickness
Marta Lewicka, Maria Giovanna Mora, Mohammad Reza Pakzad
We study the -limit of 3d nonlinear elasticity for shells of small, variable thickness, around an arbitrary smooth 2d surface.
math.FA2008★ 6 cited
Shell theories arising as low energy Γ-limit of 3d nonlinear elasticity
Marta Lewicka, Maria Giovanna Mora, Mohammad Reza Pakzad
We discuss the limiting behavior (using the notion of Γ-limit) of the 3d nonlinear elasticity for thin shells around an arbitrary smooth 2d surface. In particular, under the assump…