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Polynomial inclusions: Definitions, applications, and open problems

Journal of the mechanics and physics of solids, 2023-12, Vol.181, p.105440, Article 105440

2023

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Physics-driven neural networks for nonlinear micromechanics

International journal of mechanical sciences, 2024-07, Vol.273, p.109214, Article 109214

2024

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Validation of a numerical method based on Fast Fourier Transforms for heterogeneous thermoelastic materials by comparison with analytical solutions

Computational materials science, 2014-05, Vol.87, p.209-217

2014

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Internal Stress and Dislocation Interaction of Plate-Shaped Misfitting Precipitates in Aluminum Alloys

Materials, 2021-10, Vol.14 (19), p.5811

Muraishi, Shinji

2021

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New Green’s function for stress field and a note of its application in quantum-wire structures

International journal of solids and structures, 2009-10, Vol.46 (21), p.3788-3798

2009

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Macroscopic stress and strain in a doubly periodic array of dislocation dipoles

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2014-11, Vol.470 (2171), p.20140309-20140309

2014

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Using the radon transform to solve inclusion problems in elasticity

International journal of solids and structures, 2004-02, Vol.41 (3), p.585-606

2004

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Polynomial eigenstress inducing polynomial strain of the same degree in an ellipsoidal inclusion and its applications

Mathematics and mechanics of solids, 2013-03, Vol.18 (2), p.168-180

Liu, Liping

2013

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Proof of the Strong Eshelby Conjecture for Plane and Anti-plane Anisotropic Inclusion Problems

Journal of elasticity, 2009-11, Vol.97 (2), p.173-188

2009

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Solutions to the Periodic Eshelby Inclusion Problem in Two Dimensions

Mathematics and mechanics of solids, 2010-07, Vol.15 (5), p.557-590

Liu, Liping

2010

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The Proof of Strain Discontinuity in Eshelby Problems with Rotational Symmetrical Inclusions

Journal of thermal stresses, 2008-09, Vol.31 (9), p.795-806

2008

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On the solution of the dynamic Eshelby problem for inclusions of various shapes

International journal of solids and structures, 2005, Vol.42 (2), p.353-363

2005

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Non-uniform Eshelby's tensor inside a spherical inclusion in a functionally graded space in transport phenomena

European journal of mechanics, A, Solids, 2009-09, Vol.28 (5), p.955-961

2009

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Fundamentals of Elasticity in View of Homogenization Theory

Micromechanics of Fracture and Damage, 2016, p.33-69

2016

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6 - Composites with Random Structure

Thermomechanical Behavior of Dissipative Composite Materials, 2017, p.195-236

2017

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Brittle Damage and Failure of Engineering Composites

Fundamentals of Micromechanics of Solids, 2006, p.245-279

2006

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Eshelby's Problem in Linear Diffusion and Microporoelasticity

Microporomechanics, 2006, p.167-203

2006

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The Eshelby, Hill, Moment and Concentration Tensors for Ellipsoidal Inhomogeneities in the Newtonian Potential Problem and Linear Elastostatics

Journal of elasticity, 2016-12, Vol.125 (2), p.231-294

Parnell, William J.

2016

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Solutions to the generalized Eshelby conjecture for anisotropic media: Proofs of the weak version and counter-examples to the high-order and the strong versions

Journal of the mechanics and physics of solids, 2022-01, Vol.158, p.104648, Article 104648

2022

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The Eshelby inclusion problem in ageing linear viscoelasticity

International journal of solids and structures, 2016-10, Vol.97-98, p.530-542

2016

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Hybrid approach to predict the effective properties of heterogeneous materials using artificial neural networks and micromechanical models

International journal for numerical methods in engineering, 2022-02, Vol.123 (3), p.794-819

2022

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Eshelby's problem of non-elliptical inclusions

Journal of the mechanics and physics of solids, 2010-03, Vol.58 (3), p.346-372

2010

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The elastic inclusion problem in the (amplitude) phase field crystal model

Examples and counterexamples, 2022-11, Vol.2, p.100067, Article 100067

2022

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Eshelby's problem of inclusion with arbitrary shape in an isotropic elastic half-plane

International journal of solids and structures, 2016-03, Vol.81, p.399-410

2016

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A circular Eshelby inclusion with linear eigenstrains interacting with a coated non-parabolic inhomogeneity with internal uniform anti-plane stresses

European journal of mechanics, A, Solids, 2021-05, Vol.87, p.104219, Article 104219

2021

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Polynomial inclusions: Definitions, applications, and open problems

Physics-driven neural networks for nonlinear micromechanics

Validation of a numerical method based on Fast Fourier Transforms for heterogeneous thermoelastic materials by comparison with analytical solutions

Internal Stress and Dislocation Interaction of Plate-Shaped Misfitting Precipitates in Aluminum Alloys

New Green’s function for stress field and a note of its application in quantum-wire structures

Macroscopic stress and strain in a doubly periodic array of dislocation dipoles

Using the radon transform to solve inclusion problems in elasticity

Polynomial eigenstress inducing polynomial strain of the same degree in an ellipsoidal inclusion and its applications

Proof of the Strong Eshelby Conjecture for Plane and Anti-plane Anisotropic Inclusion Problems

Solutions to the Periodic Eshelby Inclusion Problem in Two Dimensions

The Proof of Strain Discontinuity in Eshelby Problems with Rotational Symmetrical Inclusions

On the solution of the dynamic Eshelby problem for inclusions of various shapes

Non-uniform Eshelby's tensor inside a spherical inclusion in a functionally graded space in transport phenomena

Fundamentals of Elasticity in View of Homogenization Theory

6 - Composites with Random Structure

Brittle Damage and Failure of Engineering Composites

Eshelby's Problem in Linear Diffusion and Microporoelasticity

The Eshelby, Hill, Moment and Concentration Tensors for Ellipsoidal Inhomogeneities in the Newtonian Potential Problem and Linear Elastostatics

Solutions to the generalized Eshelby conjecture for anisotropic media: Proofs of the weak version and counter-examples to the high-order and the strong versions

The Eshelby inclusion problem in ageing linear viscoelasticity

Hybrid approach to predict the effective properties of heterogeneous materials using artificial neural networks and micromechanical models

Eshelby's problem of non-elliptical inclusions

The elastic inclusion problem in the (amplitude) phase field crystal model

Eshelby's problem of inclusion with arbitrary shape in an isotropic elastic half-plane

A circular Eshelby inclusion with linear eigenstrains interacting with a coated non-parabolic inhomogeneity with internal uniform anti-plane stresses

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