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Nonlocal elasticity: an approach based on fractional calculus (Q2258184)

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Language	Label	Description	Also known as
English	Nonlocal elasticity: an approach based on fractional calculus	scientific article

Statements

scholarly article

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Nonlocal elasticity: an approach based on fractional calculus (English)

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Alberto Carpinteri

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Pietro Cornetti

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publication date

3 March 2015

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zbMATH Keywords

nonlocal elasticity

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fractional calculus

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size effects

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s11012-014-0044-5

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The fundamental solution of the space-time fractional diffusion equation

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A fractional calculus approach to the description of stress and strain localization in fractal media

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Static-kinematic duality and the principle of virtual work in the mechanics of fractal media

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Continuous medium model for fractal media

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An approach to generalized one-dimensional self-similar elasticity

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Static-kinematic fractional operators for fractal and non-local solids

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Non-local continuum mechanics and fractional calculus

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Long-range cohesive interactions of non-local continuum faced by fractional calculus

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Generalized wave equation in nonlocal elasticity

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Fractional mechanical model for the dynamics of non-local continuum

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Wave propagation in nonlocal elastic continua modelled by a fractional calculus approach

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A fractional model of continuum mechanics

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Continuous limit of discrete systems with long-range interaction

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The fractional calculus. Theory and applications of differentiation and integration to arbitrary order

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Fractional variational calculus in terms of Riesz fractional derivatives

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Random walk models approximating symmetric space-fractional diffusion processes

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Fractional Central Differences and Derivatives

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Elasticity theory of materials with long range cohesive forces

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Nonlocal elasticity and related variational principles

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Reformulation of elasticity theory for discontinuities and long-range forces

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Deformation of a peridynamic bar

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One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure. I: Generic formulation

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Fractals and fractional calculus in continuum mechanics

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Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

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Identifiers

zbMATH Open document ID

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10.1007/s11012-014-0044-5

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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:2258184

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