Modelling the negative Poisson's ratio of compressed fused fibre networks

Tatlier, Mehmet Seha; Berhan, L.

doi:10.1002/pssb.200982032

Cited by 24 publications

(20 citation statements)

References 26 publications

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“…Since the strain-dependent Poisson’s ratio of a fiber network is determined by the fiber network structure (Roeder et al, 2009; Tatlier and Berhan, 2009), the Poisson’s ratio of the gels was measured to determine how it was affected by as molecules changed the structure of the fibrillar network. The Poisson’s ratio was a nonlinear function of strain for all gels, and it greatly exceeded the isotropic limit of 0.5 (Fig.…”

Section: Resultsmentioning

confidence: 99%

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Effects of decorin proteoglycan on fibrillogenesis, ultrastructure, and mechanics of type I collagen gels

Reese¹,

Underwood²,

Weiss³

2013

Matrix Biology

114

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The proteoglycan decorin is known to affect both the fibrillogenesis and the resulting ultrastructure of in vitro polymerized collagen gels. However, little is known about its effects on mechanical properties. In this study, 3D collagen gels were polymerized into tensile test specimens in the presence of decorin proteoglycan, decorin core protein, or dermatan sulfate (DS). Collagen fibrillogenesis, ultrastructure, and mechanical properties were then quantified using a turbidity assay, 2 forms of microscopy (SEM and confocal), and tensile testing. The presence of decorin proteoglycan or core protein decreased the rate and ultimate turbidity during fibrillogenesis and decreased the number of fibril aggregates (fibers) compared to control gels. The addition of decorin and core protein increased the linear modulus by a factor of 2 compared to controls, while the addition of DS reduced the linear modulus by a factor of 3. Adding decorin after fibrillogenesis had no effect, suggesting that decorin must be present during fibrillogenesis to increase the mechanical properties of the resulting gels. These results show that the inclusion of decorin proteoglycan during fibrillogenesis of Type I collagen increases the modulus and tensile strength of resulting collagen gels. The increase in mechanical properties when polymerization occurs in the presence of the decorin proteoglycan is due to a reduction in the aggregation of fibrils into larger order structures such as fibers and fiber bundles.

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Section: Resultsmentioning

confidence: 99%

“…The Poisson’s ratios reported in this study provide information regarding the structure of the fiber network and load transfer within the network (Tatlier and Berhan, 2009). Previous studies in collagen found that decreased Poisson’s ratios were associated with larger fibers and less fiber connectivity (Roeder et al, 2009).…”

Section: Discussionmentioning

confidence: 99%

Effects of decorin proteoglycan on fibrillogenesis, ultrastructure, and mechanics of type I collagen gels

Reese¹,

Underwood²,

Weiss³

2013

Matrix Biology

114

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“…By virtue of auxetic deformation of fibers, the fiber pull-out resistance is higher. In the works of Tatlier and Berhan, [97] FEM-based modeling of auxetic-compressed fused fiber network was presented. Beam elements of circular crosssection were used to model the 2D network of fibrous structure.…”

Section: Auxetic Compositesmentioning

confidence: 99%

Three Decades of Auxetics Research − Materials with Negative Poisson's Ratio: A Review

2016

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Material properties can be tailored through modification of their geometry or architecture. With this concept, a lot of smart materials, metamaterials, and smart structures have been developed. Auxetic materials and structures are a novel class of materials which exhibit an interesting property of negative Poisson's ratio. By virtue of the auxetic behavior, mechanical properties such as fracture toughness, indentation resistance, etc., can be improved. In order to exploit the interesting properties of auxetic materials, several potential applications of auxetic materials have been explored in medical, sports, automobile, defense, etc. Design and modeling of novel auxetic materials and structures is still on the way. Here, the article focuses upon the different aspects of auxetic materials and structures. A comprehensive updated review of auxetic materials, their types and properties, and applications has been presented. This paper also discusses the design and modeling approaches of auxetic structures.

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“…Tatlier and Berhan have modeled networks of fused fibers that can show auxetic behavior. Further, such auxetic fiber‐mat networks made of steel were embedded in a conventional (positive Poisson's ratio) polymer matrix and the resulting composite was shown to be auxetic .…”

Section: Introductionmentioning

confidence: 99%

Deconstructing the auxetic behavior of paper

Verma

Shofner

Griffin

2013

Phys. Status Solidi B

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The objective of this research is to understand more fully the outof-plane auxetic behavior of paper. In the reported research, initial characterization of the auxetic properties of common, commercially available papers is described. The results of these experiments suggest that the auxetic response seen in paper structures is related to the cellulose fiber network structure, as previously suggested, and is related to inter-fiber bonding and fiber organization in the sheet. These results also indicate that further study is needed to understand how materials and processing variables influence auxetic behavior. A mathematical model, attempting to explain auxetic response in an idealized arrangement of fibers is included. Ultimately, the fundamental understanding resulting from this research should lead to new product development opportunities for forest product-based paper materials as well as to the establishment of predictive structure-property relations for auxetic materials using paper as a model system.

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Modelling the negative Poisson's ratio of compressed fused fibre networks

Cited by 24 publications

References 26 publications

Effects of decorin proteoglycan on fibrillogenesis, ultrastructure, and mechanics of type I collagen gels

Effects of decorin proteoglycan on fibrillogenesis, ultrastructure, and mechanics of type I collagen gels

Three Decades of Auxetics Research − Materials with Negative Poisson's Ratio: A Review

Deconstructing the auxetic behavior of paper

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