4.7 Article

Discussion of the linearized version of the Steigmann-Ogden surface model in plane deformation and its application to inclusion problems

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Engineering, Multidisciplinary

Anti-plane shear waves in an elastic strip rigidly attached to an elastic half-space

Gennadi Mikhasev et al.

Summary: This paper investigates the anti-plane shear waves in a domain composed of an infinite layer and a thin coating on an elastic half-space. The elastic properties of the coating, layer, and half-space are assumed to be different. Two possible regimes related to exponentially decaying waves in the half-space are found: the first one, called transversely exponential-transversely exponential (TE-TE) regime, is related to waves described by exponential functions in the transverse direction, and the second one, transversely harmonic-transversely exponential (TH-TE) regime, corresponds to waves in the upper layer exhibiting harmonic behavior in the transverse direction. Detailed analysis of the dispersion equations for both regimes is provided, including the effects of surface stresses, layer thickness, and the ratio of shear moduli of the upper layer and half-space on the dispersion curves.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2023)

Article Mathematics, Interdisciplinary Applications

Effective properties of particulate nano-composites including Steigmann-Ogden model of material surface

Lidiia Nazarenko et al.

Summary: The aim of this study is to investigate the influence of surface effects on the effective properties of random particulate composites by including the Steigmann-Ogden interface in the Method of Conditional Moments. The focus is on accounting for surface bending stiffness and generalizing the concept of energy-equivalent inhomogeneity. The study results in closed-form expressions for effective moduli and analyzes the normalized shear moduli of nanoporous materials in relation to void volume fraction.

COMPUTATIONAL MECHANICS (2021)

Article Engineering, Multidisciplinary

Transverse surface waves on a cylindrical surface with coating

Victor A. Eremeyev et al.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2020)

Article Engineering, Multidisciplinary

On stress singularity near the tip of a crack with surface stresses

Nikolai Gorbushin et al.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2020)

Article Materials Science, Multidisciplinary

Analytical solutions of a spherical nanoinhomogeneity under far-field unidirectional loading based on Steigmann-Ogden surface model

Youxue Ban et al.

MATHEMATICS AND MECHANICS OF SOLIDS (2020)

Article Mechanics

Circular inhomogeneity with Steigmann-Ogden interface: Local fields, neutrality, and Maxwell's type approximation formula

Anna Y. Zemlyanova et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2018)

Article Mechanics

On Spherical Inhomogeneity With Steigmann-Ogden Interface

Anna Y. Zemlyanova et al.

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

Article Mathematics, Applied

Surface tension-induced interfacial stresses around a nanoscale inclusion of arbitrary shape

Shuang Wang et al.

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2017)

Article Thermodynamics

Mathematical study of boundary-value problems within the framework of Steigmann-Ogden model of surface elasticity

Victor A. Eremeyev et al.

CONTINUUM MECHANICS AND THERMODYNAMICS (2016)

Article Materials Science, Multidisciplinary

A clarification of the role of crack-tip conditions in linear elasticity with surface effects

C. I. Kim et al.

MATHEMATICS AND MECHANICS OF SOLIDS (2013)

Article Mechanics

Analysis of Plane-Strain Crack Problems (Mode-I & Mode-II) in the Presence of Surface Elasticity

C. I. Kim et al.

METHODS AND TASTES IN MODERN CONTINUUM MECHANICS: TO THE MEMORY OF DONALD E. CARLSON (2011)

Article Engineering, Multidisciplinary

Analysis of Plane-Strain Crack Problems (Mode-I & Mode-II) in the Presence of Surface Elasticity

C. I. Kim et al.

JOURNAL OF ELASTICITY (2011)

Article Materials Science, Multidisciplinary

A New Approach to the Modeling and Analysis of Fracture through Extension of Continuum Mechanics to the Nanoscale

T. Sendova et al.

MATHEMATICS AND MECHANICS OF SOLIDS (2010)

Article Engineering, Multidisciplinary

Solvability of boundary value problems in a theory of plane-strain elasticity with boundary reinforcement

P. Schiavone et al.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2009)

Article Materials Science, Multidisciplinary

Multiple interacting circular nano-inhomogeneities with surface/interface effects

Sofia G. Mogilevskaya et al.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2008)

Article Mechanics

Size dependent, non-uniform elastic field inside a nano-scale spherical inclusion due to interface stress

C. W. Lim et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2006)

Article Materials Science, Multidisciplinary

Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress

HL Duan et al.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2005)

Article Materials Science, Multidisciplinary

Imperfect soft and stiff interfaces in two-dimensional elasticity

Y Benveniste et al.

MECHANICS OF MATERIALS (2001)