scholarly journals Bounds for effective parameters of heterogeneous media by analytic continuation

1983 ◽  
Vol 90 (4) ◽  
pp. 473-491 ◽  
Author(s):  
K. Golden ◽  
G. Papanicolaou

1985 ◽  
Vol 40 (5-6) ◽  
pp. 655-667 ◽  
Author(s):  
K. Golden ◽  
G. Papanicolaou


2019 ◽  
pp. 4-14 ◽  
Author(s):  
Leon A. Apresyan

When creating new lighting and optoelectronic devices, great attention in recent years is paid to use nano-composite materials, i.e. the media containing impregnations of nanometre size, such as nano-particles of metals, quantum points, carbon nanotubes, graphenes, etc. This allows obtaining media with new, formerly unattainable characteristics. An initial point when describing properties of such medias is usually evaluation of their effective parameters (dielectric permeability, conductivity, heat conduction and of other similar transport coefficients) in the model of macroscopically heterogeneous media, in other words, media containing macroscopic impregnations with known or determined from experiments characteristics. Main approaches used in such cases are known Maxwell Garnett and Bruggeman approximations. In this review, methodical questions connected with various approaches to obtain these approximations and of their generalisations are discussed. Also some new results are given, which connected with evaluations of percolation thresholds within generalised Bruggeman approximations in the event of multi-component media.



2020 ◽  
Vol 21 (5) ◽  
pp. 505
Author(s):  
Yousef Ghaderi Dehkordi ◽  
Ali Pourkamali Anaraki ◽  
Amir Reza Shahani

The prediction of residual stress relaxation is essential to assess the safety of welded components. This paper aims to study the influence of various effective parameters on residual stress relaxation under cyclic loading. In this regard, a 3D finite element modeling is performed to determine the residual stress in welded aluminum plates. The accuracy of this analysis is verified through experiment. To study the plasticity effect on stress relaxation, two plasticity models are implemented: perfect plasticity and combined isotropic-kinematic hardening. Hence, cyclic plasticity characterization of the material is specified by low cycle fatigue tests. It is found that the perfect plasticity leads to greater stress relaxation. In order to propose an accurate model to compute the residual stress relaxation, the Taguchi L18 array with four 3-level factors and one 6-level is employed. Using statistical analysis, the order of factors based on their effect on stress relaxation is determined as mean stress, stress amplitude, initial residual stress, and number of cycles. In addition, the stress relaxation increases with an increase in mean stress and stress amplitude.



Author(s):  
Mirmohammadreza Kabiri ◽  
Franck J. Vernerey




2014 ◽  
Vol 2014 (1) ◽  
pp. 99-110
Author(s):  
Vladimir Sergeevich Fedotovskij ◽  
Tat’yana Nikolaevna Vereschagina ◽  
Svetlana Valer’evna Lunina ◽  
Evgeniya Aleksandrovna Ivanova
Keyword(s):  


Author(s):  
Carolina Palma Naveira Cotta ◽  
Renato Machado Cotta ◽  
Anderson Pereira de Almeida


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