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Nonlinear and linear elastodynamic transformation cloaking (Q2312638)

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Language	Label	Description	Also known as
English	Nonlinear and linear elastodynamic transformation cloaking	scientific article

Statements

scholarly article

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Nonlinear and linear elastodynamic transformation cloaking (English)

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Archive for Rational Mechanics and Analysis

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publication date

17 July 2019

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full work available at URL

https://arxiv.org/abs/1807.10403

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zbMATH Keywords

virtual body

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non-existence

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hole cloaking

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cavity

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MaRDI profile type

MaRDI publication profile

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Stress-wave energy management through material anisotropy

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Matrix representations for 3D strain-gradient elasticity

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New exact results for the effective electric, elastic, piezoelectric and other properties of composite ellipsoid assemblages.

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A Simple Derivation of Representations for Non-Polynomial Constitutive Equations in Some Cases of Anisotropy

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Applications of tensor functions in solid mechanics

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Impedance Imaging, Inverse Problems, and Harry Potter's Cloak

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A new proof that the number of linear elastic symmetries is eight

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On the thermostatics of continuous media

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The thermodynamics of elastic materials with heat conduction and viscosity

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Material symmetry and thermostatic inequalities in finite elastic deformations

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Modeling of anisotropic softening phenomena: Application to soft biological tissues

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Deformations Possible in Every compressible, Isotropic, Perfectly Elastic Material

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Exact theory of stress and strain in rods and shells

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Symmetry classes for elasticity tensors

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On the stress field of a nonlinear elastic solid torus with a toroidal inclusion

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Line and point defects in nonlinear anisotropic solids

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Nonlinear elastic inclusions in anisotropic solids

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The mathematics and mechanics of biological growth

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General theory of small elastic deformations superposed on finite elastic deformations

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On Cauchy's equations of motion

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On nonuniqueness for Calderón's inverse problem

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Full-wave invisibility of active devices at all frequencies

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Cloaking Devices, Electromagnetic Wormholes, and Transformation Optics

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Invisibility and inverse problems

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The Elastic Moduli of Heterogeneous Materials

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Large isotropic elastic deformation of composites and porous media

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A variational approach to the theory of the elastic behaviour of multiphase materials

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Some applications of geometry in continuum mechanics

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Transformational cloaking from seismic surface waves by micropolar metamaterials with finite couple stiffness

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Cloaking via change of variables in electric impedance tomography

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Optical Conformal Mapping

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On representations of anisotropic invariants

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A New Theorem in the Classical Theory of Elasticity

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THE TRANSFORMATION TO ISOTROPIC FORM OF THE EQUILIBRIUM EQUATIONS FOR A CLASS OF ANISOTROPIC ELASTIC SOLIDS

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A covariant constitutive description of anisotropic nonlinear elasticity

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NEUTRAL IIOLES IN PLANE SHEET—REINFORCED IIOLES WHICH ARE ELASTICALLY EQUIVALENT TO THE UNCUT SHEET

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A novel atomistic approach to determine strain-gradient elasticity constants: tabulation and comparison for various metals, semiconductors, silica, polymers and the (ir)relevance for nanotechnologies

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Partial uniqueness and obstruction to uniqueness in inverse problems for anisotropic elastic media

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On modifications of Newton's second law and linear continuum elastodynamics

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Micro-structure in linear elasticity

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Effects of couple-stresses in linear elasticity

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A mathematical theory of the mechanical behavior of continuous media

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Acoustic cloaking theory

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Hyperelastic cloaking theory: transformation elasticity with pre-stressed solids

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Elastic cloaking theory

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Symmetry classes for even-order tensors

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Partial elastodynamic cloaking by means of fiber-reinforced composites

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Canonical elastic moduli

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Affine transformations of the equations of the linear theory of elasticity

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A geometric theory of thermal stresses

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Nonlinear pre-stress for cloaking from antiplane elastic waves

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Controlling Electromagnetic Fields

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Large elastic deformations of isotropic materials. I. Fundamental concepts

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Large elastic deformations of isotropic materials. III. Some simple problems in cyclindrical polar co-ordinates

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Large elastic deformations of isotropic materials IV. further developments of the general theory

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Large elastic deformations of isotropic materials. V. The problem of flexure

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Large elastic deformations of isotropic materials VI. Further results in the theory of torsion, shear and flexure

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Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber

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Small-on-large geometric anelasticity

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A geometric theory of nonlinear morphoelastic shells

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The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates

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Nonlinear mechanics of surface growth for cylindrical and spherical elastic bodies

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Nonlinear mechanics of accretion

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On the frame invariance of linear elasticity theory

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Elastic materials with couple-stresses

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Theories of elasticity with couple-stress

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The physical components of vectors and tensors

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A geometric theory of growth mechanics

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Riemann-Cartan geometry of nonlinear dislocation mechanics

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Weyl geometry and the nonlinear mechanics of distributed point defects

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The geometry of discombinations and its applications to semi-inverse problems in anelasticity

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The anelastic Ericksen problem: universal eigenstrains and deformations in compressible isotropic elastic solids

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On geometric discretization of elasticity

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Compatibility equations of nonlinear elasticity for non-simply-connected bodies

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Riemann–Cartan geometry of nonlinear disclination mechanics

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Covariant balance laws in continua with microstructure

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Energy balance invariance for interacting particle systems

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Covariance in linearized elasticity

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On spatial and material covariant balance laws in elasticity

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Tensors which characterize anisotropies

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On the canonical representations for Kronecker powers of orthogonal tensors with application to material symmetry problems

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Identifiers

zbMATH Open document ID

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10.1007/s00205-019-01389-2

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2312638

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