On spherical nanoinhomogeneity embedded in a half-space analyzed with Steigmann–Ogden surface and interface models

Ban, Youxue; Mi, Changwen

doi:10.1016/j.ijsolstr.2020.11.034

Cited by 16 publications

(9 citation statements)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the context of particulate composites with spherical reinforcements, analytical solutions for a single spherical particle with the G–M interface were obtained and used to model the elastic fields [33–37] and effective properties [10, 38, 39] of particulate nanocomposites. Similar solutions for the S–O interfaces are reported in [40–44]. More advanced, finite-cluster [45] and representative unit cell [46] models of spherical particle composite with the G–M interface have been developed.…”

Section: Introductionmentioning

confidence: 80%

Anisotropic imperfect interface in elastic particulate composite with initial stress

Кущ

Mogilevskaya

2021

Mathematics and Mechanics of Solids

View full text Add to dashboard Cite

The model of an anisotropic interface in an elastic particulate composite with initial stress is developed as the first-order approximation of a transversely isotropic interphase between an isotropic matrix and spherical particles. The model involves eight independent parameters with a clear physical meaning and conventional dimensionality. This ensures its applicability at various length scales and flexibility in modeling the interfaces, characterized by the initial stress and discontinuity of the displacement and stress fields. The relevance of this model to the theory of material interfaces and its applicability in nanomechanics is discussed. The proposed imperfect interface model is incorporated in the unit cell model of a spherical particle composite with thermal stress owing to uniform temperature change. The rigorous solution to the model boundary value problem is obtained using the multipole expansion method. The reported accurate numerical data confirm the correctness of the developed theory, provide an estimate of its accuracy and applicability limits in the multiparticle environment, and reveal significant effects of the interphase or interface anisotropy and initial stress on the local fields and overall thermoelastic properties of the composite.

show abstract

Section: Introductionmentioning

confidence: 80%

Anisotropic imperfect interface in elastic particulate composite with initial stress

Кущ

Mogilevskaya

2021

Mathematics and Mechanics of Solids

View full text Add to dashboard Cite

show abstract

“…Steigmann-Ogden governing equations Ban and Mi (2021) for the force balance condition across a solid interface is described as…”

Section: Macroscopic Equivalent Bulk Modulus (κ 3 )mentioning

confidence: 99%

On the yield criterion of porous materials by the homogenization approach and Steigmann--Ogden surface model

Zheng

Wang

Jiang

et al. 2023

Preprint

View full text Add to dashboard Cite

In this work, we investigate the yield criterion of nanoporous materials by using homogenization approach and Steigmann--Ogden surface model. The representative volume element (RVE) is proposed as an infinite matrix containing a tiny nanovoid. The matrix is incompressible, rigid-perfectly plastic, von Mises materials and nanovoids are dilute and equal in size. First, the constitutive of microscopic stress and microscopic strain rate is established based on the flow criterion. Secondly, according to the Hill's lemma, the relationship between the macroscopic equivalent modulus and the microscopic equivalent modulus is established by homogenization approach. Thirdly, the macroscopic equivalent modulus containing the Steigmann--Ogden surface model including surface parameters, porosity and nanovoid radius is derived from the trial microscopic velocity field. Finally, an implicit macroscopic strength criterion for nanoporous materials is developed. For surface modulus, nanovoids radius and porosity studies are developed through extensive numerical experiments. The research results in this paper have reference significance for the design and manufacture of nanoporous materials.

show abstract

“…These problems were overcome by a rapid increase in computational resources, allowing for an iterative solution. Some examples of contemporary studies include [100][101][102][103][104][105][106][107][108], as well as [109] for the visco-elastic regime. Demand for advanced hyper-elastic models is stimulated by the biotechnological industry, where the mechanics of biological tissue [110] and its interaction with artificial appliances were studied [21].…”

Section: Hyper-elastic Materialsmentioning

confidence: 99%

Probabilistic Analysis of Composite Materials with Hyper-Elastic Components

Kamiński

Sokołowski

2022

Materials

View full text Add to dashboard Cite

This work is a comprehensive literature overview in the area of probabilistic methods related to composite materials with components exhibiting hyper-elastic constitutive behavior. A practical area of potential applications is seen to be rubber, rubber-like, or even rubber-based heterogeneous media, which have a huge importance in civil, mechanical, environmental, and aerospace engineering. The overview proposed and related discussion starts with some general introductory remarks and a general overview of the theories and methods of hyper-elastic material with a special emphasis on the recent progress. Further, a detailed review of the current trends in probabilistic methods is provided, which is followed by a literature perspective on the theoretical, experimental, and numerical treatments of interphase composites. The most important part of this work is a discussion of the up-to-date methods and works that used the homogenization method and effective medium analysis. There is a specific focus on random composites with and without any interface defects, but the approaches recalled here may also serve as well in sensitivity analysis and optimization studies. This discussion may be especially helpful in all engineering analyses and models related to the reliability of elastomers, whose applicability range, which includes energy absorbers, automotive details, sportswear, and the elements of water supply networks, is still increasing, as well as areas where a stochastic response is the basis of some limit functions that are fundamental for such composites in structural health monitoring.

show abstract

On spherical nanoinhomogeneity embedded in a half-space analyzed with Steigmann–Ogden surface and interface models

Cited by 16 publications

References 50 publications

Anisotropic imperfect interface in elastic particulate composite with initial stress

Anisotropic imperfect interface in elastic particulate composite with initial stress

On the yield criterion of porous materials by the homogenization approach and Steigmann--Ogden surface model

Probabilistic Analysis of Composite Materials with Hyper-Elastic Components

Contact Info

Product

Resources

About