. Plasticseurope, Plastics -the facts 2013 an analysis of european latest plastics production, demand and waste data, Tech. rep., PlasticsEurope, Association of Plastics Manufacturers, 2013.

D. Rahrig, Glass fiber reinforced vinyl chloride polymer products and process for their preparation, uS Patent 4, p.360, 201985-08.

P. Kinson and E. Faber, Compositions de polychlorure de vinyle renforcée par des fibres de verre avec stabilité dimensionnelle et résistancè a la traction, p.3, 1992.

F. O-'brien-bernini, D. Vermilion, S. Schweiger, B. Guhde, W. Graham et al., Wet use chopped strand glass as reinforcement in extruded products, wO Patent App, p.810, 2006.

S. Tungjitpornkull and N. Sombatsompop, Processing technique and fiber orientation angle affecting the mechanical properties of E-glass fiber reinforced wood/PVC composites, Journal of Materials Processing Technology, vol.209, issue.6, pp.3079-3088, 2009.
DOI : 10.1016/j.jmatprotec.2008.07.021

J. Hohe, C. Beckmann, and H. Paul, Modeling of uncertainties in long fiber reinforced thermoplastics, Materials & Design, vol.66, issue.0, pp.390-399, 2015.
DOI : 10.1016/j.matdes.2014.05.067

J. Breen and A. H. Veld, Expected lifetime of existing PVC water systems ; summary, TNO Science and Industry, 2006.

R. M. Guedes, A. Sá, and H. Faria, On the prediction of long-term creep-failure of GRP pipes in aqueous environment, Polymer Composites, vol.11, issue.1, pp.1047-1055, 2010.
DOI : 10.1002/pc.20891

J. D. Diniz-melo, F. L. Neto, G. De-araujo-barros, F. N. De-almeida, and . Mesquita, Mechanical behavior of GRP pressure pipes with addition of quartz sand filler, Journal of Composite Materials, vol.45, issue.6, pp.717-726, 2011.
DOI : 10.1177/0021998310385593

R. Rafiee and F. Reshadi, Simulation of functional failure in GRP mortar pipes, Composite Structures, vol.113, issue.0, pp.155-163, 2014.
DOI : 10.1016/j.compstruct.2014.03.024

R. Guedes, Analysis of a delayed fracture criterion for lifetime prediction of viscoelastic polymer materials, Mechanics of Time-Dependent Materials, vol.40, issue.6, pp.307-316, 2012.
DOI : 10.1007/s11043-011-9163-8

L. C. Struik and /. L. Struik, Physical aging in amorphous polymers and other materials, distributors for the U.S. and Canada, 1978.

J. Sullivan, Creep and physical aging of composites, Composites Science and Technology, vol.39, issue.3, pp.207-2320266, 1990.
DOI : 10.1016/0266-3538(90)90042-4

G. M. Odegard and A. Bandyopadhyay, Physical aging of epoxy polymers and their composites, Journal of Polymer Science Part B: Polymer Physics, vol.106, issue.24, pp.1695-1716, 2011.
DOI : 10.1002/polb.22384

B. Read, G. Dean, P. Tomlins, and J. Lesniarek-hamid, Physical ageing and creep in PVC, Polymer, vol.33, issue.13, pp.2689-26980032, 1992.
DOI : 10.1016/0032-3861(92)90439-4

Z. Hu, F. Zhao, and X. Zhang, Creep performance of PVC aged at temperature relatively close to glass transition temperature, Applied Mathematics and Mechanics, vol.33, issue.9, pp.1129-1136, 2012.

T. Mori and K. Tanaka, Average stress in matrix and average elastic energy of materials with misfitting inclusions, Acta Metallurgica, vol.21, issue.5, pp.571-57410, 1973.
DOI : 10.1016/0001-6160(73)90064-3

Y. M. Wang and G. J. Weng, The Influence of Inclusion Shape on the Overall Viscoelastic Behavior of Composites, Journal of Applied Mechanics, vol.59, issue.3, 1992.
DOI : 10.1115/1.2893753

K. Li, X. Gao, and A. K. Roy, Micromechanical Modeling of Viscoelastic Properties of Carbon Nanotube-Reinforced Polymer Composites, Mechanics of Advanced Materials and Structures, vol.359, issue.4, pp.317-328, 2006.
DOI : 10.1016/j.ijsolstr.2004.08.020

T. Sasayama, T. Okabe, Y. Aoyagi, and M. Nishikawa, Prediction of failure properties of injection-molded short glass fiber-reinforced polyamide 6,6, Composites Part A: Applied Science and Manufacturing, vol.52, issue.520, pp.45-54, 2013.
DOI : 10.1016/j.compositesa.2013.05.004

M. Hashimoto, T. Okabe, T. Sasayama, H. Matsutani, and M. Nishikawa, Prediction of tensile strength of discontinuous carbon fiber/polypropylene composite with fiber orientation distribution, Composites Part A: Applied Science and Manufacturing, vol.43, issue.10, pp.1791-1799, 2011.
DOI : 10.1016/j.compositesa.2012.05.006

J. Ricaud and R. Masson, Effective properties of linear viscoelastic heterogeneous media: Internal variables formulation and extension to ageing behaviours, International Journal of Solids and Structures, vol.46, issue.7-8, 2009.
DOI : 10.1016/j.ijsolstr.2008.12.007

J. Sanahuja, Effective behaviour of ageing linear viscoelastic composites: Homogenization approach, S0020768313001807 [27] V. ? Smilauer, Z. P. Ba?ant, Identification of viscoelastic C-S-H behavior in mature cement 22, pp.2846-2856, 2013.
DOI : 10.1016/j.ijsolstr.2013.04.023

C. L. Iii and E. Liang, Stiffness predictions for unidirectional short-fiber composites: Review and evaluation, Composites Science and Technology, vol.59, issue.598, pp.655-671, 1999.

H. Moussaddy, A new definition of the representative volume element in numerical homogenization problems and its application to the performance evaluation of analytical homogenization models, 2013.

E. Ghossein and M. Lévesque, A comprehensive validation of analytical homogenization models: The case of ellipsoidal particles reinforced composites, Mechanics of Materials, vol.75, issue.0, pp.135-150, 2014.
DOI : 10.1016/j.mechmat.2014.03.014

A. E. Moumen, T. Kanit, A. Imad, and H. E. Minor, Effect of reinforcement shape on physical properties and representative volume element of particles-reinforced composites: Statistical and numerical approaches, Mechanics of Materials, vol.83, issue.0, pp.1-16, 2015.
DOI : 10.1016/j.mechmat.2014.12.008

URL : https://hal.archives-ouvertes.fr/hal-01112981

G. Lielens, P. Pirotte, A. Couniot, F. Dupret, and R. Keunings, Prediction of thermomechanical properties for compression moulded composites, selected Papers Presented at the Fourth International Conference on Flow Processes in Composite Material. doi, pp.1-2, 1998.

N. Lahellec and P. Suquet, Effective behavior of linear viscoelastic composites: A time-integration approach, International Journal of Solids and Structures, vol.44, issue.2, p.507, 2007.
DOI : 10.1016/j.ijsolstr.2006.04.038

URL : https://hal.archives-ouvertes.fr/hal-00091303

O. Pierard, C. González, J. Segurado, J. Llorca, and I. Doghri, Micromechanics of elasto-plastic materials reinforced with ellipsoidal inclusions, International Journal of Solids and Structures, vol.44, issue.21, pp.6945-6962, 2007.
DOI : 10.1016/j.ijsolstr.2007.03.019

O. Pierard, J. Llorca, J. Segurado, and I. Doghri, Micromechanics of particle-reinforced elasto-viscoplastic composites: Finite element simulations versus affine homogenization, International Journal of Plasticity, vol.23, issue.6, pp.1041-1060, 2007.
DOI : 10.1016/j.ijplas.2006.09.003

F. T. Wallenberger, J. C. Watson, and H. Li, Glass fibers, asm handbook, 2001.

D. Mounier, C. Poilâne, C. Bûcher, and P. Picart, Evaluation of transverse elastic properties of fibers used in composite materials by laser resonant ultrasound spectroscopy, Acoustics 2012
URL : https://hal.archives-ouvertes.fr/hal-00811303

E. Haque, Polymer/wucs mat for use in automotive applications, uS Patent 7, p.59, 2007.

R. Nakano, Use of polyvinyl chlorine resin sheets as flooring material, eP Patent 0, p.354, 2003.

J. Yuan, A. Hiltner, E. Baer, and D. Rahrig, The effect of high pressure on the mechanical behavior of short fiber composites, Polymer Engineering and Science, vol.7, issue.11, 1984.
DOI : 10.1002/pen.760241103

S. Tungjitpornkull, K. Chaochanchaikul, and N. Sombatsompop, Mechanical Characterization of E-Chopped Strand Glass Fiber Reinforced Wood/PVC Composites, Journal of Thermoplastic Composite Materials, vol.20, issue.6, pp.535-550, 2007.
DOI : 10.1177/0892705707084541

J. H. Phelps, A. I. El-rahman, V. Kunc, and C. L. Iii, A model for fiber length attrition in injection-molded long-fiber composites, Composites Part A: Applied Science and Manufacturing, vol.51, issue.0, pp.11-21, 2013.
DOI : 10.1016/j.compositesa.2013.04.002

T. Chiao and R. Moore, Stress-Rupture of S-Glass Epoxy Multifilament Strands, Journal of Composite Materials, vol.5, issue.1, pp.2-111, 1971.
DOI : 10.1177/002199837100500101

E. J. Barbero, T. M. Damiani, and N. W. Taylor, Phenomenological Prediction of Tensile Strength of E-Glass Composites from Available Aging and Stress Corrosion Data, Journal of Reinforced Plastics and Composites, vol.22, issue.4, pp.373-394, 1947.
DOI : 10.1177/0731684403022004269

D. A. Stuart and O. L. Anderson, Dependence of Ultimate Strength of Glass Under Constant Load on Temperature, Ambient Atmosphere, and Time, Journal of the American Ceramic Society, vol.1, issue.130, pp.416-424, 1953.
DOI : 10.1063/1.1707679

R. J. Charles, Static fatigue of glass. i, Journal of Applied Physics, vol.2929101, issue.1111, pp.1549-1553, 1063.

R. J. Charles, Static Fatigue of Glass. II, Journal of Applied Physics, vol.29, issue.11, pp.1554-1560, 1063.
DOI : 10.1063/1.1722992

A. Khennane and R. Melchers, Durability of Glass Polymer Composites Subject to Stress Corrosion, Journal of Composites for Construction, vol.7, issue.2, pp.109-1171090, 2003.
DOI : 10.1061/(ASCE)1090-0268(2003)7:2(109)

W. Ren, Investigation on stress-rupture behavior of a chopped-glass-fiber composite for automotive durability design criteria, 2001.
DOI : 10.2172/788350

M. Phillips, Prediction of long-term stress-rupture life for glass fibre-reinforced polyester composites in air and in aqueous environments, Composites, vol.14, issue.3, pp.270-2750010, 1983.
DOI : 10.1016/0010-4361(83)90015-0

Z. Grasley and D. Lange, Constitutive modeling of the aging viscoelastic properties of portland cement paste, Mechanics of Time-Dependent Materials, vol.33, issue.12, pp.175-198, 2007.
DOI : 10.1007/s11043-007-9043-4

R. Kohlrausch, Theorie des elektrischen rückstandes in der leidner flasche, in: Annalen der Physik, no. 91 in Annalen der Physik, pp.56-82179, 1854.

G. Williams and D. C. Watts, Non-symmetrical dielectric relaxation behaviour arising from a simple empirical decay function, Transactions of the Faraday Society, vol.66, pp.80-85, 1970.
DOI : 10.1039/tf9706600080

L. W. Morland and E. H. Lee, Stress analysis for linear viscoelastic materials with temperature variation, Transactions of, 1957.

K. Levenberg, A method for the solution of certain non-linear problems in least squares, Quarterly of Applied Mathematics, vol.2, issue.2, pp.164-168, 1944.
DOI : 10.1090/qam/10666

D. Marquardt, An Algorithm for Least-Squares Estimation of Nonlinear Parameters, Journal of the Society for Industrial and Applied Mathematics, vol.11, issue.2, pp.431-441, 1963.
DOI : 10.1137/0111030

T. Williams and C. , Kelley, many others, Gnuplot 4.6: an interactive plotting program, 2014.

R. Schapery, Approximate methods of transform inversion for viscoelastic stress analysis, fourth U.S. National Congress of Applied Mechanics, pp.1075-1085, 1962.

T. L. Cost and E. B. Becker, A multidata method of approximate Laplace transform inversion, International Journal for Numerical Methods in Engineering, vol.27, issue.2, 1970.
DOI : 10.1002/nme.1620020206

M. Lévesque, M. Gilchrist, N. Bouleau, K. Derrien, and D. Baptiste, Numerical inversion of the Laplace???Carson transform applied to homogenization of randomly reinforced linear viscoelastic media, Computational Mechanics, vol.2, issue.3, pp.771-789, 2007.
DOI : 10.1007/s00466-006-0138-6

Z. Hashin, Complex moduli of viscoelastic composites???I. General theory and application to particulate composites, International Journal of Solids and Structures, vol.6, issue.5, pp.539-5520020, 1970.
DOI : 10.1016/0020-7683(70)90029-6

Z. Hashin and S. Shtrikman, A variational approach to the theory of the elastic behaviour of multiphase materials, Journal of the Mechanics and Physics of Solids, vol.11, issue.2, pp.127-140, 1963.
DOI : 10.1016/0022-5096(63)90060-7

Y. Benveniste, A new approach to the application of Mori-Tanaka's theory in composite materials, Mechanics of Materials, vol.6, issue.2, pp.147-1570167, 1987.
DOI : 10.1016/0167-6636(87)90005-6

J. D. Eshelby, The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.241, issue.1226, pp.376-396, 1226.
DOI : 10.1098/rspa.1957.0133

G. Weng, The theoretical connection between Mori-Tanaka's theory and the hashinshtrikman-walpole bounds, International Journal of Engineering Science, vol.28, issue.1190, pp.20-722590111, 1990.

Y. Zhao, G. Tandon, and G. Weng, Elastic moduli for a class of porous materials, Acta Mechanica, vol.13, issue.1-2, 1989.
DOI : 10.1007/BF01175799

W. L. Bond, The Mathematics of the Physical Properties of Crystals, Bell System Technical Journal, vol.22, issue.1, 1943.
DOI : 10.1002/j.1538-7305.1943.tb01304.x

B. Auld and B. Auld, Acoustic fields and waves in solids, Acoustic Fields and Waves in Solids, 1973.

T. Mura, Isotropic inclusions Micromechanics of defects in solids of Mechanics of Elastic and Inelastic Solids, pp.74-128, 1987.

S. Torquato, Random Heterogeneous Materials: Microstructure and Macroscopic Properties, Applied Mechanics Reviews, vol.55, issue.4, pp.4-8, 2002.
DOI : 10.1115/1.1483342

E. Anderson, Z. Bai, J. Dongarra, A. Greenbaum, A. Mckenney et al., Lapack: A portable linear algebra library for high-performance computers, Proceedings of the 1990 ACM/IEEE Conference on Supercomputing, Supercomputing '90, pp.2-11, 1990.

Z. Ba?ant, Numerical determination of long-range stress history from strain history in concrete, Mat??riaux et Constructions, vol.69, issue.No. 3???4, 1972.
DOI : 10.1007/BF02539255

C. Huet, Adaptation d'un algorithme de Bazant au calcul des multilames visco-??lastiques vieillissants, Mat??riaux et Constructions, vol.278, issue.2, 1980.
DOI : 10.1007/BF02473805

H. Moulinec and P. Suquet, A numerical method for computing the overall response of nonlinear composites with complex microstructure, Computer Methods in Applied Mechanics and Engineering, vol.157, issue.1-2, pp.69-94, 1998.
DOI : 10.1016/S0045-7825(97)00218-1

URL : https://hal.archives-ouvertes.fr/hal-01282728

P. Suquet, H. Moulinec, O. Castelnau, M. Montagnat, N. Lahellec et al., Multi-scale modeling of the mechanical behavior of polycrystalline ice under transient creep, iUTAM Symposium on Linking Scales in Computations: From Microstructure to Macro-scale Properties, pp.76-90, 2012.
DOI : 10.1016/j.piutam.2012.03.006

URL : https://hal.archives-ouvertes.fr/hal-00644773

J. Escoda, Modélisation morphologique et micromécanique 3d de matériaux cimentaires, 2012.

J. Sliseris, H. Andrä, M. Kabel, B. Dix, B. Plinke et al., Numerical prediction of the stiffness and strength of medium density fiberboards, Mechanics of Materials, vol.79, issue.0, pp.73-84, 2014.
DOI : 10.1016/j.mechmat.2014.08.005

J. Feder, Random sequential adsorption, Journal of Theoretical Biology, vol.87, issue.2, pp.237-2540022, 1980.
DOI : 10.1016/0022-5193(80)90358-6

D. Bentz, E. J. Garboczi, and K. A. Snyder, A hard core/soft shell microstructural model for studying percolation and transport in three-dimensional composite media, Tech. rep., National Institute of Standards and Technology, 1999.

Y. Pan, L. Iorga, and A. A. Pelegri, Analysis of 3D random chopped fiber reinforced composites using FEM and random sequential adsorption, Computational Materials Science, vol.43, issue.3, pp.450-461, 2008.
DOI : 10.1016/j.commatsci.2007.12.016

E. Gilbert, D. Johnson, and S. Keerthi, A fast procedure for computing the distance between complex objects in three space, Robotics and Automation. Proceedings. 1987 IEEE International Conference on, pp.1883-1889, 1987.

F. Lavergne, K. Sab, J. Sanahuja, M. Bornert, and C. Toulemonde, Investigation of the effect of aggregates' morphology on concrete creep properties by numerical simulations, Cement and Concrete Research, vol.71, issue.0, pp.14-28, 2015.
DOI : 10.1016/j.cemconres.2015.01.003

URL : https://hal.archives-ouvertes.fr/hal-01134837

O. Zienkiewicz, M. Watson, and I. King, A numerical method of visco-elastic stress analysis, International Journal of Mechanical Sciences, vol.10, issue.10, pp.807-827, 1968.
DOI : 10.1016/0020-7403(68)90022-2

R. L. Taylor, K. S. Pister, and G. L. Goudreau, Thermomechanical analysis of viscoelastic solids, International Journal for Numerical Methods in Engineering, vol.18, issue.1, pp.45-59, 1970.
DOI : 10.1002/nme.1620020106

Z. P. Ba?ant and S. T. Wu, Creep and shrinkage law for concrete at variable humidity, Journal of the Engineering Mechanics Division, vol.100, issue.6, pp.1183-1209, 1974.

K. Sab, On the homogenization and the simulation of random materials, European Journal of Mechanics A-Solids, vol.11, issue.5, pp.585-607, 1992.

T. Kanit, S. Forest, I. Galliet, V. Mounoury, and D. Jeulin, Determination of the size of the representative volume element for random composites: statistical and numerical approach, International Journal of Solids and Structures, vol.40, issue.13-14, pp.13-14
DOI : 10.1016/S0020-7683(03)00143-4

F. Lavergne, R. Brenner, and K. Sab, Effects of grain size distribution and stress heterogeneity on yield stress of polycrystals: A numerical approach, Computational Materials Science, vol.77, issue.0, pp.387-398, 2013.
DOI : 10.1016/j.commatsci.2013.04.061

URL : https://hal.archives-ouvertes.fr/hal-00946087

J. M. Hedgepeth, Stress concentrations in filamentary structures, 1961.

I. J. Beyerlein and C. M. Landis, Shear-lag model for failure simulations of unidirectional fiber composites including matrix stiffness, Mechanics of Materials, vol.31, issue.5, pp.331-350, 1999.
DOI : 10.1016/S0167-6636(98)00075-1

S. Blassiau, A. Thionnet, and A. , Three-dimensional analysis of load transfer micromechanisms in fibre/matrix composites 33 ? 39, mechanical Response of Fibre Reinforced Composites, Composites Science and Technology, vol.69, issue.1, p.0266353807004381, 2009.

N. Kotelnikova-weiler, J. Caron, and O. Baverel, Kinetic of fibre ruptures in a UD 27

W. Yang, Y. Pan, and A. A. Pelegri, Multiscale modeling of matrix cracking coupled with interfacial debonding in random glass fiber composites based on volume elements, Journal of Composite Materials, vol.28, issue.27, pp.3389-3399, 2013.
DOI : 10.1007/BF00550671

T. Baxevanis and N. Charalambakis, A micromechanically based model for damage-enhanced creep-rupture in continuous fiber-reinforced ceramic matrix composites, Mechanics of Materials, vol.42, issue.5, pp.570-580, 2010.
DOI : 10.1016/j.mechmat.2010.02.004

H. Stehfest, Algorithm 368: Numerical inversion of Laplace transforms [D5], Communications of the ACM, vol.13, issue.1, pp.47-49, 1970.
DOI : 10.1145/361953.361969

W. Whitt, A unified framework for numerically inverting Laplace transforms, INFORMS Journal on Computing, vol.18, pp.408-421, 2006.

D. J. Eyre and G. W. Milton, A fast numerical scheme for computing the response of composites using grid refinement, The European Physical Journal Applied Physics, vol.6, issue.1, pp.41-47, 1999.
DOI : 10.1051/epjap:1999150

V. Monchiet and G. Bonnet, A polarization-based FFT iterative scheme for computing the effective properties of elastic composites with arbitrary contrast, International Journal for Numerical Methods in Engineering, vol.21, issue.3
DOI : 10.1002/nme.3295

URL : https://hal.archives-ouvertes.fr/hal-00687816

H. Moulinec and F. Silva, Comparison of three accelerated FFT-based schemes for computing the mechanical response of composite materials, International Journal for Numerical Methods in Engineering, vol.42, issue.2
DOI : 10.1002/nme.4614

URL : https://hal.archives-ouvertes.fr/hal-00787089

S. Zhurkov, Kinetic concept of the strength of solids, International Journal of Fracture, vol.159, issue.4, pp.295-307, 1984.
DOI : 10.1007/BF00962961