Nonclassical linear theories of continuum mechanics (Q6175382)

scientific article; zbMATH DE number 7729740

Language	Label	Description	Also known as
English	Nonclassical linear theories of continuum mechanics	scientific article; zbMATH DE number 7729740

Statements

instance of

scholarly article

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title

Nonclassical linear theories of continuum mechanics (English)

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author

O. R. Hrytsyna

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published in

Journal of Mathematical Sciences (New York)

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publication date

18 August 2023

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zbMATH Keywords

Eringen-Edelen nonlocal elasticity theory

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Toupin couple-stress elasticity theory

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Eringen-Suhubi-Mindlin micromorphic theory

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Mindlin gradient elasticity theory

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nonclassical kinematics

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micropolar medium

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s10958-023-06487-x

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cites work

A continuum model of microheterogeneous media

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Q5430425

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Q4915888

0 references

Generalized continuum models in nanomechanics

0 references

Q3736950

0 references

On generalized Cosserat-type theories of plates and shells: a short review and bibliography

0 references

Recent researches on nonlocal elasticity theory in the vibration of carbon nanotubes using beam models: a review

0 references

Atomistic viewpoint of the applicability of microcontinuum theories

0 references

Higher-gradient continua: The legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives

0 references

A review on nonlocal elastic models for bending, buckling, vibrations, and wave propagation of nanoscale beams

0 references

Q5522078

0 references

Q5573194

0 references

Q5683761

0 references

Microcontinuum Field Theories

0 references

Nonlocal Continuum Field Theories

0 references

Nonlinear theory of simple micro-elastic solids. I

0 references

Bending of Euler-Bernoulli beams using Eringen's integral formulation: a paradox resolved

0 references

A phenomenological theory for strain gradient effects in plasticity

0 references

Variational formulation of a simplified strain gradient elasticity theory and its application to a pressurized thick-walled cylinder problem

0 references

The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure

0 references

A variant of the linear isotropic indeterminate couple-stress model with symmetric local force-stress, symmetric nonlocal force-stress, symmetric couple-stresses and orthogonal boundary conditions

0 references

Simple force and stress multipoles

0 references

Multipolar continuum mechanics

0 references

Symmetry conditions in strain gradient elasticity

0 references

Micropolar elasticity theory: a survey of linear isotropic equations, representative notations, and experimental investigations

0 references

Micropolar media. I: The classical theory. II: The relativistic theory

0 references

Static and dynamic analysis of micro beams based on strain gradient elasticity theory

0 references

Q4337002

0 references

Experiments and theory in strain gradient elasticity.

0 references

Q2786931

0 references

A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation

0 references

Non-local elastic plate theories

0 references

A microstructure-dependent Timoshenko beam model based on a modified couple stress theory

0 references

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

0 references

Generalized Continuum Mechanics: What Do We Mean by That?

0 references

Micro-structure in linear elasticity

0 references

Q5583032

0 references

Effects of couple-stresses in linear elasticity

0 references

Mathematical modeling of structural and near-surface non-homogeneities in thermoelastic thin films

0 references

Variational formulations, model comparisons and numerical methods for Euler–Bernoulli micro- and nano-beam models

0 references

Q5612408

0 references

Static, stability and dynamic analysis of gradient elastic flexural Kirchhoff plates

0 references

Thermodynamical frameworks for higher grade material theories with internal variables or additional degrees of freedom

0 references

Nonlocal elasticity and related variational principles

0 references

A unifying variational framework for stress gradient and strain gradient elasticity theories

0 references

A hierarchy of simplified constitutive models within isotropic strain gradient elasticity

0 references

Straight disclinations in nonlocal elasticity

0 references

Nonlocal theories for bending, buckling and vibration of beams

0 references

Nonlocal elasticity in nanobeams: the stress-driven integral model

0 references

Cosserat theories: Shells, rods and points

0 references

Gradient theory for crack problems in quasicrystals

0 references

Non-local continuum modeling of carbon nanotubes: physical interpretation of non-local kernels using atomistic simulations

0 references

Size effects in two-dimensional Voronoi foams: A comparison between generalized continua and discrete models

0 references

Elastic materials with couple-stresses

0 references

Axisymmetric free vibration of closed thin spherical nanoshells with bending effects

0 references

A review on the application of modified continuum models in modeling and simulation of nanostructures

0 references

Variational formulations and isogeometric analysis for the dynamics of anisotropic gradient-elastic Euler-Bernoulli and shear-deformable beams

0 references

Higher order nonlocal strain gradient approach for wave characteristics of carbon nanorod

0 references

Couple stress based strain gradient theory for elasticity

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Identifiers

zbMATH Open document ID

1522.74004

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DOI

10.1007/s10958-023-06487-x

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6175382