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Numerische Mathematik, ISSN 0029-599X, 11/2017, Volume 137, Issue 3, pp. 691 - 711
To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http://dx.doi.org/10.1007/s00211-017-0890-x 
Secondary 74K20 | 65N15 | Primary 65N30 | Elasticity | Boundary value problems | Perturbation | Strain
Journal Article
Journal of elasticity, ISSN 1573-2681, 12/2018, Volume 135, Issue 1-2, pp. 409 - 433
A one-dimensional model for a narrow ribbon is derived from the plate theory of Kirchhoff by means of a power expansion in the width variable. The energy found... 
Ribbons | 74K10 | 74K20 | 49S05 | Classical Mechanics | Elasticity | Automotive Engineering | 74B20 | Physics | Relaxed energy | Engineering | Materials Science | Technology | Engineering, Multidisciplinary | Materials Science, Multidisciplinary | Mechanics | Science & Technology
Journal Article
Numerische Mathematik, ISSN 0029-599X, 1/2014, Volume 126, Issue 1, pp. 33 - 51
The computation of lower eigenvalue bounds for the biharmonic operator in the buckling of plates is vital for the safety assessment in structural mechanics and... 
65N25 | Mathematical Methods in Physics | 74K20 | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Numerical and Computational Physics | Mathematics, general | Mathematics | 65N30 | Physical Sciences | Mathematics, Applied | Science & Technology
Journal Article
Nonlinear differential equations and applications, ISSN 1021-9722, 12/2014, Volume 21, Issue 6, pp. 775 - 794
In this article we consider the non-linear thermoelastic plate equation in rectangular domains Ω. More precisely, Ω is considered to be given as the Cartesian... 
Primary 74F05 | Mathematics | 74K20 | Secondary 35B30 | Analysis | 74H30 | Physical Sciences | Mathematics, Applied | Science & Technology | Mathematics - Analysis of PDEs
Journal Article
Tatra Mountains mathematical publications, ISSN 1210-3195, 12/2018, Volume 71, Issue 1, pp. 27 - 37
We deal with an optimal control problem governed by a nonlinear hyperbolic initial-boundary value problem describing the perpendicular vibrations of a simply... 
35L85 | 74K20 | 49J20 | Vibrating viscoelastic plate | 49J40 | optimal control | 74D10 | rigid obstacle | variable thickness
Journal Article
Journal of elasticity, ISSN 0374-3535, 10/2013, Volume 113, Issue 2, pp. 251 - 264
We investigate low-energy deformations of a thin elastic sheet subject to a displacement boundary condition consistent with a conical deformation. Under the... 
d-Cone | 74K20 | Thin elastic sheets | Energy scaling laws | Mechanics | Automotive Engineering | 74B20 | Physics | Engineering | Materials Science | Technology | Engineering, Multidisciplinary | Materials Science, Multidisciplinary | Science & Technology | Deformation | Scaling laws | Elasticity | Elastic sheets | Elastic deformation | Two dimensional | Displacement | Three dimensional
Journal Article
Journal of elasticity, ISSN 1573-2681, 10/2015, Volume 123, Issue 2, pp. 125 - 136
The classical theory of ribbons, developed by Sadowsky and Wunderlich, has recently received renewed attention. Here, by means of Γ $\varGamma$ -convergence,... 
Sadowsky functional | 49J45 | 74K20 | 49S05 | Mechanics | Elastic ribbons | Automotive Engineering | Gamma-convergence | 74B20 | Physics | Engineering | Materials Science | Technology | Engineering, Multidisciplinary | Materials Science, Multidisciplinary | Science & Technology | Strip | Ribbons | Mathematical analysis | Elasticity | Derivation | Texts | Elastic limit | Curvature
Journal Article
Numerische Mathematik, ISSN 0029-599X, 03/2017, Volume 135, Issue 3, pp. 803 - 832
Journal Article
Numerische Mathematik, ISSN 0029-599X, 11/2017, Volume 137, Issue 3, pp. 713 - 740
Journal Article
Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 2/2018, Volume 69, Issue 1, pp. 1 - 16
In this paper, we consider the magneto-thermoelastic interactions in a two-dimensional Mindlin–Timoshenko plate. Our main result is concerned with the strong... 
Mindlin–Timoshenko plate | Engineering | Mathematical Methods in Physics | Magneto-thermoelastic plate | Polynomial decay | Primary 35B40 | Theoretical and Applied Mechanics | Secondary 74K20 | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Two dimensional models | Polynomials | Stability | Decay rate | Mindlin plates
Journal Article
Meccanica (Milan), ISSN 0025-6455, 2/2018, Volume 53, Issue 3, pp. 659 - 670
By means of a variational approach we rigorously deduce three one-dimensional models for elastic ribbons from the theory of von Kármán plates, passing to the... 
49S05 | Classical Mechanics | Civil Engineering | Von Kármán plates | Physics | Sadowsky functional | 49J45 | 74K99 | 74K20 | Elastic ribbons | Automotive Engineering | Mechanical Engineering | Gamma-convergence | 74B20 | Twisting | Elastic deformation | One dimensional models
Journal Article
Journal of elasticity, ISSN 1573-2681, 09/2016, Volume 127, Issue 1, pp. 1 - 24
Using the theory of Γ $\varGamma $ -convergence, we derive from three-dimensional elasticity new one-dimensional models for non-Euclidean elastic ribbons,... 
Dimension reduction | 74K10 | 74K20 | Rod theory | 76A15 | Classical Mechanics | Automotive Engineering | 74B20 | Physics | Nematic elastomers | Engineering | Materials Science | Technology | Engineering, Multidisciplinary | Materials Science, Multidisciplinary | Mechanics | Science & Technology | Thin films | Elastomers | Dielectric films | Ribbons | Surface layer | Elasticity | Texts | Three dimensional models | Texture | Nematic
Journal Article
Numerische Mathematik, ISSN 0945-3245, 07/2016, Volume 135, Issue 3, pp. 803 - 832
We investigate a quadratic $$C^0$$ C 0 interior penalty method for the approximation of isolated solutions of a von Kármán plate. We prove that the discrete... 
65N15 | Mathematical Methods in Physics | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Mathematics, general | Mathematics | Numerical and Computational Physics, Simulation | Secondary 74K20 | Primary 65N30
Journal Article
Journal of functional analysis, ISSN 0022-1236, 03/2014, Volume 266, Issue 5, pp. 2989 - 3039
We derive a dimensionally-reduced limit theory for an n-dimensional nonlinear elastic body that is slender along k dimensions. The starting point is to view an... 
Riemannian manifold | Incompatible elasticity | Gamma convergence | Physical Sciences | Mathematics | Science & Technology
Journal Article
Journal of elasticity, ISSN 0374-3535, 4/2015, Volume 119, Issue 1, pp. 3 - 6
This article is a translation of Michael Sadowsky’s original paper “Ein elementarer Beweis für die Existenz eines abwickelbaren Möbiusschen Bandes und die... 
74K10 | 74K20 | 53A04 | 74G55 | 01A75 | Möbius band | Bending energy | Mechanics | Automotive Engineering | Energy functional | Physics | Engineering | Materials Science | Technology | Engineering, Multidisciplinary | Materials Science, Multidisciplinary | Science & Technology | Elasticity | Paper | Translations | Proving
Journal Article
Journal of optimization theory and applications, ISSN 1573-2878, 03/2018, Volume 177, Issue 1, pp. 64 - 92
Journal Article
Meccanica (Milan), ISSN 0025-6455, 1/2018, Volume 53, Issue 1, pp. 295 - 304
We present some results about the asymptotic behavior of a Kirchhoff plate with viscoelastic dissipative effects, making use of the concept of minimal state.... 
Viscoelasticity | 74K20 | 74D05 | Classical Mechanics | Civil Engineering | Kirchhoff plate | Asymptotic behavior | 74H40 | Automotive Engineering | Mechanical Engineering | 35B40 | Physics | Mechanics | Technology | Science & Technology | Deformation | Asymptotic properties | Decay | Dissipation
Journal Article