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Neutrality of a four-phase spherical inhomogeneity under an arbitrary uniform remote load

ACTA MECHANICA (2023)

Existence of weakly neutral coated inclusions of general shape in two dimensions

Hyeonbae Kang et al.

Summary: This paper studies the weakly neutral property of inclusions with core-shell structure of general shape to multiple uniform fields and proves by an implicit function theorem that a shell can be coated on top of a core with small perturbation to achieve weak neutrality.

APPLICABLE ANALYSIS (2022)

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Article Materials Science, Multidisciplinary

Multicoated elastic inhomogeneities of arbitrary shape neutral to multiple fields

Xu Wang et al.

Summary: This research rigorously establishes that an elastic epitrochoidal inhomogeneity can be made neutral to multiple uniform fields in anti-plane elasticity by inserting two intermediate coatings. By using a conformal mapping function and solving nonlinear equations, the mismatch parameters can be determined. The proposed mapping function for the multicoated inhomogeneity, described in terms of a polynomial with N non-constant terms, can also make elastic inhomogeneities of arbitrary shapes neutral to multiple fields by iteratively solving a set of nonlinear equations.

MATHEMATICS AND MECHANICS OF SOLIDS (2022)

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Article Mathematics, Applied

CONSTRUCTION OF WEAKLY NEUTRAL INCLUSIONS OF GENERAL SHAPE BY IMPERFECT INTERFACES

Hyeonbae Kang et al.

SIAM JOURNAL ON APPLIED MATHEMATICS (2019)

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Article Mechanics

On Spherical Inhomogeneity With Steigmann-Ogden Interface

Anna Y. Zemlyanova et al.

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME (2018)

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Article Multidisciplinary Sciences

Neutral coated inclusions of finite conductivity

Pawel Jarczyk et al.

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2012)

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Article Materials Science, Multidisciplinary

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

Y Benveniste et al.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2003)

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Article Multidisciplinary Sciences

Neutral coated inclusions in conductivity and anti-plane elasticity

GW Milton et al.

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2001)

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Neutrality of a four-phase spherical inhomogeneity under an arbitrary uniform remote load

相关参考文献

Existence of weakly neutral coated inclusions of general shape in two dimensions

Multicoated elastic inhomogeneities of arbitrary shape neutral to multiple fields

CONSTRUCTION OF WEAKLY NEUTRAL INCLUSIONS OF GENERAL SHAPE BY IMPERFECT INTERFACES

On Spherical Inhomogeneity With Steigmann-Ogden Interface

Neutral coated inclusions of finite conductivity

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

Neutral coated inclusions in conductivity and anti-plane elasticity

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