A Review of Analytical Micromechanics Models on Composite Elastoplastic Behaviour

Wang, Yanchao; Huang, Zheng‐Ming

doi:10.1016/j.proeng.2016.12.159

Cited by 27 publications

(11 citation statements)

References 9 publications

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“…Papers [1][2][3][4][5][6][7] resolved the task of homogenizing the fibrous composites, without considering their multimodularity, for a matrix and different types of fibers. The authors examined the composite materials with anisotropic, plastic, viscoelastic components.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

The homogenization of multimodular composites at their longitudinal deformation

Grebenyuk

Smoliankova

Klymenko

et al. 2020

EEJET

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Запропоновано модель гомогенiзацiї трансверсальноiзотропного композитного матерiалу, механiчнi характеристики якого при поздовжньому розтягу та стиску вiдрiзняються мiж собою. На її основi отримано поздовжнiй модуль пружностi першого роду та коефiцiєнт Пуассона для рiзномодульного композиту. Цi показники необхiднi для проектування елементiв конструкцiй, що виготовляються з композитiв. Об'єктом дослiдження є односпрямований волокнистий композит, що складається з iзотропних пружних матрицi та волокна. Для визначення ефективних пружних сталих пропонується пiдхiд, що ґрунтується на використаннi умов узгодження перемiщень точок гомогенiзованого композиту, матрицi та волокна. Спочатку визначаються перемiщення та напруження для точок матрицi та волокна при їх сумiсному осесиметричному розтягу. Для розв'язання цiєї задачi попередньо отримано рiвняння рiзномодульної теорiї пружностi. Аналогiчнi компоненти напружено-деформованого стану визначаються при такому ж деформуваннi цилiндричної комiрки з однорiдного трансверсально-iзотропного композиту. Умовами узгодженостi перемiщень, отриманих при розв'язаннi вказаних задач, є рiвнiсть осьових перемiщень у довiльному перерiзi композиту площиною, паралельною площинi iзотропiї, та радiальних перемiщень на поверхнi комiрки композиту. У результатi використання цих умов отримано формули для ефективних констант-поздовжнього модуля пружностi першого роду та коефiцiєнта Пуассона, що виражають цi показники через механiчнi характеристики матрицi та волокна, а також частку волокна у об'ємi комiрки композита. Аналогiчнi формули отримано для поздовжнього стиску. Отриманi ефективнi пружнi характеристики трансверсально-iзотропного композиту можуть бути використанi при розрахунку напружено-деформованого стану виготовлених з нього елементiв конструкцiй. При цьому враховуються вiдмiнностi у значеннях напружень та деформацiй при осьових розтягу та стиску Ключовi слова: гомогенiзацiя, рiзномодульний трансверсально-iзотропний композит, напруження, перемiщення, деформацiї, ефективнi сталi

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Section: Literature Review and Problem Statementmentioning

confidence: 99%

The homogenization of multimodular composites at their longitudinal deformation

Grebenyuk

Smoliankova

Klymenko

et al. 2020

EEJET

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“…For example, the incremental tangent model 5 , deformation secant model 6 , incremental-secant model 7 , isotropization Eshelby tensor approach 2 , etc. A comprehensive review concerning elastoplastic models can be found in Kanouté et al 8 , Saeb et al 9 and Wang et al 10,11 However, it is reported that the predicted properties of such models are too stiff compared with experiment data 12 . Some researchers 13,14 believe that it is because such models take the elasto-plastic deformation of a matrix as the only source of nonlinearity of a composite while the contribution of interface damage is ignored.…”

Section: A Micromechanics Based Elastoplastic Damage Model For Unidirmentioning

confidence: 99%

“…(3-6) with tangent instantaneous ones, as shown in Eqs. (10)(11)(12). Parameters with superscript or subscript t denote tangent instantaneous quantities.…”

mentioning

confidence: 99%

A micromechanics based elasto-plastic damage model for unidirectional composites under off-axis tensile loads

Wang

Chen

et al. 2020

Sci Rep

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Nonlinear properties of composite materials are essential for their engineering application. In this work, a three-phase micromechanics bridging model is employed to evaluate the nonlinear behavior of a composite from properties of fiber, matrix and interphase. It is assumed that the matrix elastoplasticity and the interface damage are two major sources of the nonlinearity. The former is described by the J2 flow rule. The latter is approximated by an interphase with stiffness degradation. For an interphase, an equivalent damage stress is introduced to account for the effect of normal and shear stress on the interface damage growth. Further, an explicit empirical equation is developed to relate the equivalent damage stress and the stiffness degradation of an interphase. The present elasto-plastic damage model is validated by comparing with experimental data of a series of composites under off-axis tensile loads.

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“…It has been reported that the nonlinear stress strain curve evaluated by a tangent approach, a secant approach, or the TFA may be too stiff compared with experiments [ 95 , 210 , 211 , 212 , 213 ]. Existing attempts to address the too stiff problem are mainly in three kinds, i.e., improvements on a linearization, corrections on an equivalent stress, and modifications on the calculation of a plastic Eshelby’s tensor.…”

Section: Review On Micromechanics Modelsmentioning

confidence: 99%

Analytical Micromechanics Models for Elastoplastic Behavior of Long Fibrous Composites: A Critical Review and Comparative Study

Wang

Huang

2018

Materials

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Elasto-plastic models for composites can be classified into three categories in terms of a length scale, i.e., macro scale, meso scale, and micro scale (micromechanics) models. In general, a so-called multi-scale model is a combination of those at various length scales with a micromechanics one as the foundation. In this paper, a critical review is made for the elastoplastic models at the micro scale, and a comparative study is carried out on most popular analytical micromechanics models for the elastoplastic behavior of long fibrous composites subjected to a static load, meaning that creep and dynamic response are not concerned. Each model has been developed essentially following three steps, i.e., an elastic homogenization, a rule to define the yielding of a constituent phase, and a linearization for the elastoplastic response. The comparison is made for all of the three aspects. Effects of other issues, such as the stress field fluctuation induced by a high contrast heterogeneity, the stress concentration factors in the matrix, and the different approaches to a plastic Eshelby tensor, are addressed as well. Correlation of the predictions by different models with available experimental data is shown.

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A Review of Analytical Micromechanics Models on Composite Elastoplastic Behaviour

Cited by 27 publications

References 9 publications

The homogenization of multimodular composites at their longitudinal deformation

The homogenization of multimodular composites at their longitudinal deformation

A micromechanics based elasto-plastic damage model for unidirectional composites under off-axis tensile loads

Analytical Micromechanics Models for Elastoplastic Behavior of Long Fibrous Composites: A Critical Review and Comparative Study

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A Review of Analytical Micromechanics Models on Composite Elastoplastic Behaviour

Cited by 27 publications

References 9 publications

The homogenization of multi­modular composites at their longitudinal deformation

The homogenization of multi­modular composites at their longitudinal deformation

A micromechanics based elasto-plastic damage model for unidirectional composites under off-axis tensile loads

Analytical Micromechanics Models for Elastoplastic Behavior of Long Fibrous Composites: A Critical Review and Comparative Study

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The homogenization of multimodular composites at their longitudinal deformation

The homogenization of multimodular composites at their longitudinal deformation