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Stress spectra and the effective elastic and viscoelastic properties of unidirectional composites under transverse loadingPrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
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PrimeFaces.cw("AccordionPanel","widget_formSmash_responsibleOrgs",{id:"formSmash:responsibleOrgs",widgetVar:"widget_formSmash_responsibleOrgs",multiple:true}); 2000 (English)In: Journal of composite materials, ISSN 0021-9983, E-ISSN 1530-793X, Vol. 34, no 17, 1418-1436 p.Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

2000. Vol. 34, no 17, 1418-1436 p.
##### Keyword [en]

Elastic moduli, Matrix algebra, Probability distributions, Statistical methods, Stress analysis, Viscoelasticity, Pseudo-random fiber array, Unidirectional composites, Composite micromechanics
##### National Category

Applied Mechanics
##### Identifiers

URN: urn:nbn:se:kth:diva-80045DOI: 10.1106/83C4-BMUJ-MNRQ-77XAOAI: oai:DiVA.org:kth-80045DiVA: diva2:495997
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##### Note

The relationship between the statistical characteristics of the microstructure, the stress state in the matrix and the effective properties of unidirectional composites have been studied. A representation of the stress state in the form of stress spectra is introduced. The skewness of spectra derived for the four basic regular periodic fiber arrays reflects the degree of order in the microstructure. A hybrid array combining features of these arrays was developed to approximate a random array. All stress components in the matrix of such a pseudo-random composite under transverse load exhibit an approximately Gaussian distribution. The stress state in the matrix determines the effective elastic modulus and the viscoelastic relaxation strength. This has led to a stress-based mechanical analysis using the moments of the stress spectrum for a representative, pseudo-random fiber arrangement.

References: Davy, P.J., Guild, F.J., The distribution of interparticle distance and its application in finite-element modelling of composite materials (1988) Proceedings of the Royal Society of London, A418, pp. 95-112; Torquato, S., Lado, F., Improved bounds on the effective elastic moduli of random arrays of cylinders (1992) Journal of Applied Mechanics, 59, pp. 1-6; Pyrz, R., Quantitative description of composites' microstructure. Part 1: Morphology of unidirectional composite systems (1993) Composite Science and Technology, 50, pp. 197-208; Pyrz, R., Correlation of microstructure variability and local stress field in two-phase materials (1994) Materials Science and Engineering, A177, pp. 253-259; BÃ¶hm, H.J., Rammerstorfer, F.G., Fiber arrangement effects on the microscale stresses of continuously reinforced MMCs (1995) Microstructure-Property Interactions in Composite Materials, pp. 51-62. , IUTAM, Pyrz, R. ed., Dordrecht, NL: Kluwer Academic Publishers; Kim, P., Toll, S., MÃ¥nson, J.-A.E., Micromechanical analysis of the viscoelastic behavior of composites (1995) Microstructure-Property Interactions in Composite Materials, pp. 165-176. , IUTAM, Pyrz, R. ed., Dordrecht, NL: Kluwer Academic Publishers; Adams, D.F., Tsai, S.W., The influence of random filament packing on the transverse stiffness of unidirectional composites (1969) Journal of Composite Materials, 3, pp. 368-381; Brockenhrough, J.R., Suresh, S., Wienecke, H.A., Deformation of metal-matrix composites with continuous fibers: Geometrical effects of fiber distribution and shape (1991) Acta Metallurgica et Materialia, 39, pp. 735-752; SÃžrensen, B.F., Talreja, R., Effects of nonuniformity of fiber distribution on thermally-induced residual stresses and cracking in ceramic matrix composites (1993) Mechanics of Materials, 16, pp. 351-363; Everett, R.K., Chu, J.H., Modeling of non-uniform composite microstructures (1993) Journal of Composite Materials, 27, pp. 1128-1144; Spencer, A., The transverse moduli of fibre-composite material (1986) Composites Science and Technology, 27, pp. 93-109; Halpin, J.C., Kardos, J.L., (1976) The Halpin-Tsai Equations: A Review, 16 (5), pp. 344-352. , Polymer Engineering and Science; Rohwer, K., Jiu, X.M., Micromechanical curing stresses in CFRP (1986) Composites Science and Technology, 25, pp. 169-186; Nakamura, T., Suresh, S., Effects of thermal residual stresses and fiber packing on deformation of metal-matrix composites (1993) Acta Metallurgica et Materialia, 41, pp. 1665-1681; Nassehi, V., Kinsella, M., Mascia, L., Finite element modelling of the stress distribution in polymer composites with coated fibre interlayers (1993) Journal of Composite Materials, 27, pp. 195-214; Fletcher, A.J., Oakeshott, J.L., Thermal residual microstress generation during the processing of unidirectional carbon fibre/epoxy resin composites: Regular fibre arrays (1994) Composites, 25, pp. 797-805; Adams, D.F., Doner, D.R., Transverse normal loading of a unidirectional composite (1967) Journal of Composite Materials, 1, pp. 152-164; Bertilsson, H., Delin, M., Klason, C., Kubat, M.J., Rychwalski, W.R., Kubat, J., Volume changes during flow of solid polymers (1993) Relaxations in Complex Systems, , Alicante; Lou, Y.C., Schapery, R.A., Viscoelastic characterization of a nonlinear fiber-reinforced plastic (1971) Journal of Composite Materials, 5, pp. 208-234

NR 20140805

Available from: 2012-02-09 Created: 2012-02-09 Last updated: 2016-05-27Bibliographically approvedReferences$(function(){PrimeFaces.cw("TieredMenu","widget_formSmash_lower_j_idt1196",{id:"formSmash:lower:j_idt1196",widgetVar:"widget_formSmash_lower_j_idt1196",autoDisplay:true,overlay:true,my:"left top",at:"left bottom",trigger:"formSmash:lower:referencesLink",triggerEvent:"click"});}); $(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_lower_j_idt1197_j_idt1199",{id:"formSmash:lower:j_idt1197:j_idt1199",widgetVar:"widget_formSmash_lower_j_idt1197_j_idt1199",target:"formSmash:lower:j_idt1197:permLink",showEffect:"blind",hideEffect:"fade",my:"right top",at:"right bottom",showCloseIcon:true});});