From non-local Eringen’s model to fractional elasticity
From MaRDI portal
Publication:5244350
DOI10.1177/1081286518810745zbMath1425.74093arXiv1806.03906OpenAlexW2806237015WikidataQ61816403 ScholiaQ61816403MaRDI QIDQ5244350
José Carlos Bellido, Anton Evgrafov
Publication date: 20 November 2019
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.03906
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Cites Work
- Fractional elliptic equations, Caccioppoli estimates and regularity
- The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator
- Hitchhiker's guide to the fractional Sobolev spaces
- A new approach to Sobolev spaces and connections to \(\Gamma\)-convergence
- Comparison and regularity results for the fractional Laplacian via symmetrization methods
- Hyperelasticity as a \(\Gamma\)-limit of peridynamics when the horizon goes to zero
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- A simple approach to solve boundary-value problems in gradient elasticity
- A strain-difference-based nonlocal elasticity model
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators
- Elasticity theory of materials with long range cohesive forces
- Nonlocal Continuum Field Theories
- Variational solution of fractional advection dispersion equations on bounded domains in ℝd
- On the variational limit of a class of nonlocal functionals related to peridynamics
- Discrete Interpolation Norms with Applications
- A new class of radial basis functions with compact support
- Variational formulation for the stationary fractional advection dispersion equation
- Nonlocal elasticity and related variational principles
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