21 citations · 55 across the 16 of their papers we have counts for
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math-ph2009★ 17 cited
Scaling laws for non-Euclidean plates and the isometric immersions of Riemannian metrics
Marta Lewicka, Reza Pakzad
This paper concerns the elastic structures which exhibit non-zero strain at free equilibria. Many growing tissues (leaves, flowers or marine invertebrates) attain complicated confi…
math.AP2009★ 1 cited
The infinite hierarchy of elastic shell models: some recent results and a conjecture
Marta Lewicka, Reza Pakzad
We summarize some recent results of the authors and their collaborators, regarding the derivation of thin elastic shell models (for shells with mid-surface of arbitrary geometry) f…
math.AP2009
A note on convergence of low energy critical points of nonlinear elasticity functionals, for thin shells of arbitrary geometry
Marta Lewicka
We prove that the critical points of the 3d nonlinear elasticity functional on shells of small thickness and around the mid-surface of arbitrary geometry, converge as $h\to…