A Hygroelastic Self-consistent Model for Fiber-reinforced Composites

Jacquemin, Frédéric; Fréour, Sylvain; Guillén, Ronald

doi:10.1177/0731684405045014

Cited by 41 publications

(51 citation statements)

References 19 publications

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“…Actually, (26) and (27) mean that the average of the mesoscopic strains or stresses is respectively identical to their macroscopic counterparts, which satisfy both the previously introduced Hill's average principles (12)- (13), that are expected to be valid within any scale transition mathematical model. While the product-based description of the behaviour of a single-heterogeneity embedded in a homogeneous material is considered, it is reasonable to regard the geometric mean as an appropriate manner to perform the volume-weighted averaging operation involved in, for instance, (24)- (25).…”

Section: On the Physical Meaning Of The Fundamental Relations Of Eshementioning

confidence: 85%

“…The connected question of predicting the macroscopic Coefficients of Thermal Expansion or the Coefficients of Moisture Expansion of such heterogeneous materials has also (in most previously cited cases) been addressed. The interested reader can refer, as an example, to [22,27] for recent advances in the field of micro-mechanical modeling about this topic.…”

Section: Introductionmentioning

confidence: 99%

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On the meaning of the chosen set‐averaging method within Eshelby‐Kröner self‐consistent scale transition model: the geometric mean versus the classical arithmetic average

et al. 2011

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Scale-transition models, such as Eshelby-Kröner self-consistent framework, which are often used for predicting the effective behavior of heterogeneous materials or estimating the distribution of local states from the knowledge of the corresponding macroscopic quantities, require the extensive use of set averages. In the present work, the fundamental formalism historically introduced by Kröner is, for the first time, considered from the point of view of both the geometric and the arithmetic set averages methods. It is demonstrated in this paper that the polarization tensors describing the relations existing between the local and the macroscopic mechanical states do have a strong physical meaning when expressed using the geometric average, instead of the classical arithmetic mean.

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Section: On the Physical Meaning Of The Fundamental Relations Of Eshementioning

confidence: 85%

Section: Introductionmentioning

confidence: 99%

On the meaning of the chosen set‐averaging method within Eshelby‐Kröner self‐consistent scale transition model: the geometric mean versus the classical arithmetic average

et al. 2011

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“…Introducing (6) in (5) and assuming that fibers do not absorb water (case of carbon/epoxy composites), the CME are then expressed [5]:…”

Section: Self-consistent Estimates (Sc) For Hygro-elastic Propertiesmentioning

confidence: 99%

Prediction of local hygroscopic stresses for composite structures – Analytical and numerical micro-mechanical approaches

Jacquemin¹,

Fréour²,

Guillén³

2009

Composites Science and Technology

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“…Nevertheless, combining (11)- (13) enables to find the following expression for the pseudomacroscopic strain (the demonstration is available in [1]):…”

Section: Checking Of New Analytical Forms For Morris' Tensormentioning

confidence: 99%

On an Analytical Self-consistent Model for Internal Stress Prediction in Fiber-reinforced Composites Submitted to Hygroelastic Load

Fréour

Jacquemin

Guillén

2005

Journal of Reinforced Plastics and Composites

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. On an analytical Self-Consistent model for internal stress prediction in fiber-reinforced composites submitted to hygroelastic load. The aim of this work is to demonstrate a fully explicit analytical micromechanical self consistent approach dedicated to mechanical states prediction in both the fiber and the matrix of composite structures submitted to a transient hygroelastic load. The analytical forms obtained are applied to the case of carbon epoxy composites. Rigorous continuum mechanics formalisms are used for the determination of the required time and space dependent macroscopic stresses. The reliability of the new approach is checked through a comparison between the local stress states calculated in both the resin and the fiber according to the new closed form solutions and the equivalent numerical model.

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A Hygroelastic Self-consistent Model for Fiber-reinforced Composites

Cited by 41 publications

References 19 publications

On the meaning of the chosen set‐averaging method within Eshelby‐Kröner self‐consistent scale transition model: the geometric mean versus the classical arithmetic average

On the meaning of the chosen set‐averaging method within Eshelby‐Kröner self‐consistent scale transition model: the geometric mean versus the classical arithmetic average

Prediction of local hygroscopic stresses for composite structures – Analytical and numerical micro-mechanical approaches

On an Analytical Self-consistent Model for Internal Stress Prediction in Fiber-reinforced Composites Submitted to Hygroelastic Load

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