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Plate theory for stressed heterogeneous multilayers of finite bending energy

Data up to Jan 2025

Published2007
Citations84
References28

Total Citations Per Year

Abstract

References (28)

Partial Differential Equations

1988 • 24,477 citations

A treatise on the mathematical theory of elasticity

1892 • 7,577 citations

A Treatise on the Mathematical Theory of Elasticity

1893 • 3,849 citations

An Introduction to Γ-Convergence

1993 • 1,312 citations

Über das Gleichgewicht und die Bewegung einer elastischen Scheibe.

1850 • 1,030 citations

Thin solid films roll up into nanotubes

2001 • 985 citations

A theorem on geometric rigidity and the derivation of nonlinear plate theory from three‐dimensional elasticity

2002 • 758 citations

Weak Convergence Methods for Nonlinear Partial Differential Equations

1990 • 749 citations

Extrinsic Geometry of Convex Surfaces

1973 • 570 citations

A Hierarchy of Plate Models Derived from Nonlinear Elasticity by Gamma-Convergence

2005 • 464 citations

An analytical model for predicting residual stresses in progressively deposited coatings Part 1: Planar geometry

1997 • 402 citations

Festigkeitsprobleme im Maschinenbau

1907 • 298 citations

On Spherical Image Maps Whose Jacobians Do Not Change Sign

1959 • 268 citations

Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence

2003 • 170 citations

The Membrane Shell Model in Nonlinear Elasticity: A Variational Asymptotic Derivation

2000 • 157 citations

Dimension reduction in variational problems, asymptotic development in Γ-convergence and thin structures in elasticity

1994 • 152 citations

The membrane shell model in nonlinear elasticity: A variational asymptotic derivation

1996 • 131 citations

Derivation of the nonlinear bending-torsion theory for inextensible rods by $\Gamma$ -convergence

2003 • 126 citations

3D-2D Asymptotic Analysis for Inhomogeneous Thin Films

2000 • 125 citations

Nanoscroll formation from strained layer heterostructures

2003 • 120 citations

On the Sobolev Space of Isometric Immersions

2004 • 94 citations

Rigorous derivation of nonlinear plate theory and geometric rigidity

2002 • 82 citations

Heterogeneous Thin Films of Martensitic Materials

2000 • 77 citations

Une justification partielle du modèle de plaque en flexion par -convergence

2001 • 34 citations

Minimal energy configurations of strained multi-layers

2007 • 32 citations

Fabrication of III–V nano‐ and microtubes using MOVPE grown materials

2006 • 22 citations

Approximating <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msup><mml:mi>W</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math> isometric immersions

2008 • 15 citations

Deleted Work

1955 • 0 citations

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