Preprint (2013)
PDF
[17] M. Lewicka, L. Mahadevan and M.R. Pakzad, Models for elastic shells with incompatible strains,
Preprint (2012)
PDF
[16] P. Hornung, M. Lewicka and M.R. Pakzad,
Infinitesimal isometries on developable surfaces and asymptotic theories for thin developable shells,
Preprint (2011) PDF
[15] M. Lewicka , L. Mahadevan and M.R. Pakzad,
The Foppl-von Karman equations for plates with incompatible strains,
to appear in Proceedings of the Royal Society A (accepted 2010).
PDF
[14] M. Lewicka and M.R. Pakzad, The infinite hierarchy of elastic shell models:
some recent results and a conjecture,
to appear in Fields Institute Communications (accepted 2010).
PDF
[13] M. Lewicka and M.R. Pakzad, Scaling laws for non-Euclidean plates and the $W^{2,2}$ isometric
immersions of Riemannian metrics,
to appear in ESAIM: Control, Optimisation and Calculus of Variations (accepted 2010).
PDF
[12] M.R. Pakzad, A note on regularity and rigidity of co-dimension 1 Sobolev isometric immersions,
Preprint (2009). See [18] for the development of these ideas.
PDF
[11] M. Lewicka, M.G. Mora and M.R. Pakzad, The matching property of infinitesimal isometries
on elliptic surfaces and elasticity of thin shells,
to appear in Arch. Rational Mech. Anal (accepted 2010).
PDF
[10] M. Lewicka, M.G. Mora and M.R. Pakzad, A nonlinear theory for shells with slowly varying
thickness,
C.R. Acad. Sci. Paris, Ser I 347, 211--216 (2009).
[9] M. Lewicka, M.G. Mora and M.R. Pakzad, Shell theories arising as low energy
$\Gamma$-limit of 3d nonlinear elasticity,
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) Vol. IX, 1--43 (2010).
[8] S. Muller and M.R. Pakzad, Convergence of equilibria of thin elastic plates,
the von Karman case,
Comm. Partial Differential Equations, Vol. 33, Issue 6, 1018 -- 1032, (2008).
[7] S. Muller and M.R. Pakzad, Regularity properties of isometric immersions,
Math. Zeit.
251, no. 2, 313 -- 331, (2005).
[6] M.R. Pakzad, On the Sobolev space of isometric immersions,
Journal of Differential Geometry, Vol.66, 47 -- 69, (2004).
[5] M.R. Pakzad, Weak density of smooth maps in
$W^{1,1}(M , N)$ for non-abelian $\pi_1(N)$,
Annals of Global Analysis and Geometry,
23, no. 1, 1 -- 12, (2003).
[4] M.R. Pakzad and T. Rivière, Weak density of smooth maps for the
Dirichlet energy between Manifolds,
Geometric And Functional Analysis, 13,
no. 1, 223 -- 257, (2003).
[3] M.R. Pakzad, On topological singular set of maps with finite 3-energy into $S^3$,
Zeitschrift fur Analysis und ihre Anwendungen, Journal of Analysis and its Appli-
cations, Vol.21, No.3, 561--568, (2002).
[2] M.R. Pakzad, Relaxing the Dirichlet energy for maps
into $S^2$ in high dimensions,
Communications in Contemporary Mathematics,
Vol.4, No.3, 513 -- 528, (2002).
[1] M.R. Pakzad, Existence of infinitely many weakly
harmonic maps from a domain in $R^n$ into $S^2$ for non-constant boundary data,
Calculus of
Variations and Partial Differential Equations, 237, 97 -- 121, (2001).