Mean-field micromechanics model and its application to the analysis of thermomechanical behaviour of composite materials

Wakashima, Kenji; Tsukamoto, Hideaki

doi:10.1016/0921-5093(91)90284-t

Cited by 121 publications

(48 citation statements)

References 55 publications

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“…Choice of this stiffness describes the interactions between the phases: for 0 coinciding with one of the phase stiffnesses [Mori-Tanaka scheme, [Mori and Tanaka, 1973;Wakashima and Tsukamoto, 1991]], a composite material is represented [contiguous matrix with inclusions -see Figure 7(d)]; for 0 = hom (self-consistent scheme Hershey [1954]; Hill [1963]), a dispersed arrangement of the phases is considered [typical for polycrystals -see Figure 7(a,b,c)]). In case of the extrafibrillar space [ Figure 7(c)], with infinitely many crystal phases oriented in all directions, the sums in Eq.…”

Section: 'Universal' Relations Between Extracellular Mass Density Andmentioning

confidence: 99%

Bone fibrillogenesis and mineralization: Quantitative analysis and implications for tissue elasticity

Vuong

Hellmich

2011

Journal of Theoretical Biology

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Data from bone drying, demineralization, and deorganification tests, collected over a time span of more than eighty years, evidence a myriad of different chemical compositions of different bone materials. However, careful analysis of the data, as to extract the chemical concentrations of hydroxyapatite, of water, and of organic material (mainly collagen) in the extracellular bone matrix, reveals an astonishing fact: it appears that there exists a unique bilinear relationship between organic concentration and mineral concentration, across different species, organs, and age groups, from early childhood to OLD AGE: During organ growth, the mineral concentration increases linearly with the organic concentration (which increases during fibrillogenesis), while from adulthood on, further increase of the mineral concentration is accompanied by a decrease in organic concentration. These relationships imply unique mass density-concentration laws for fibrillogenesis and mineralization, which -in combination with micromechanical models -deliver 'universal' mass density-elasticity relationships in extracellular bone matrix -valid across different species, organs, and ages. They turn out as quantitative reflections of the well-instrumented interplay of osteoblasts, osteoclasts, osteocytes, and their precursors, controlling, in a fine-tuned fashion, the chemical genesis and continuous transformation of the extracellular bone matrix. Considerations of the aformentioned rules may strongly affect the potential success of tissue engineering strategies, in particular when translating, via micromechanics, the aformentioned growth and mineralization characteristics into tissue-specific elastic properties.

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Section: 'Universal' Relations Between Extracellular Mass Density Andmentioning

confidence: 99%

Bone fibrillogenesis and mineralization: Quantitative analysis and implications for tissue elasticity

Vuong

Hellmich

2011

Journal of Theoretical Biology

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“…Isıl genleşme katsayısı (α) ve hacim modülünün (K) değişiminde sırasıyla WakashimaTsukamoto [41] ve Levin [42] eşitlikleri kullanılmıştır.…”

Section: Malzeme öZelli̇kleri̇ (Materials Properties)unclassified

Fonksiyonel Olarak Kademelendirilmiş Modüllü Yapıştırıcı Bağlantıların Isıl Gerilme Analizi

Demirbaş¹,

Apalak²

2018

Journal of Polytechnic

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“…The mean-field micromechanical approach reformulated by Wakashima and Tsukamoto [1991], which stems from Eshelby's equivalent inclusion method [Eshelby 1957;1959;1961] and Mori-Tanaka's mean-field approximation [Mori and Tanaka 1973] will be mentioned briefly here. Based on Eshelby's equivalent inclusion concept, we can replace the microinhomogeneous material by the homogeneous comparison material (HCM), with the equivalent inclusions and the fictitious eigenstrain distribution to represent the disturbance of stress field in the microinhomogeneous material.…”

Section: Appendix Amentioning

confidence: 99%

“…According to the mean-field micromechanical theory [Wakashima and Tsukamoto 1991], which is based on Eshelby's equivalent inclusion method [Eshelby 1957;1959;1961] and Mori-Tanaka's meanfield approximation [Mori and Tanaka 1973], the following algebraic relations for B (r ) iklm can be derived:…”

Section: Mean-field Micromechanical Modelmentioning

confidence: 99%

“…This model is based on the mean-field theory of Wakashima and Tsukamoto [1991]. It was reported in the literature that among the averaging methods [Hill 1963;Bui et al 1972], the Wakashima-Tsukamoto estimate provides the closest prediction to numerical calculations in terms of the effective material properties of the composite [Miyamoto et al 1999].…”

Section: Introductionmentioning

confidence: 99%

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Micromechanical approach to transformation toughening in zirconia-enriched multiphase composites

Tsukamoto

Kotousov

2007

JOMMS

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Mean-field micromechanics model and its application to the analysis of thermomechanical behaviour of composite materials

Cited by 121 publications

References 55 publications

Bone fibrillogenesis and mineralization: Quantitative analysis and implications for tissue elasticity

Bone fibrillogenesis and mineralization: Quantitative analysis and implications for tissue elasticity

Fonksiyonel Olarak Kademelendirilmiş Modüllü Yapıştırıcı Bağlantıların Isıl Gerilme Analizi

Micromechanical approach to transformation toughening in zirconia-enriched multiphase composites

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