{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,9]],"date-time":"2026-04-09T14:03:54Z","timestamp":1775743434588,"version":"3.50.1"},"publisher-location":"Cham","reference-count":44,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783030778255","type":"print"},{"value":"9783030778262","type":"electronic"}],"license":[{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022]]},"DOI":"10.1007\/978-3-030-77826-2_4","type":"book-chapter","created":{"date-parts":[[2022,3,19]],"date-time":"2022-03-19T07:02:52Z","timestamp":1647673372000},"page":"39-67","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Fick\u2019s Model Analysis"],"prefix":"10.1007","author":[{"given":"J. M. P. Q.","family":"Delgado","sequence":"first","affiliation":[]},{"given":"A. G.","family":"Barbosa de Lima","sequence":"additional","affiliation":[]},{"given":"Laura H.","family":"Carvalho","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,3,20]]},"reference":[{"key":"4_CR1","doi-asserted-by":"crossref","unstructured":"Farias, V.S.O., Silva, W.P., Silva, C.M.D.P.S., Delgado, J.M.P.Q., Farias Neto, S.R., Lima, A.G.B.: Transient diffusion in arbitrary shape porous bodies: Numerical analysis using boundary-fitted coordinates. In: Delgado, J.M.P.Q., de Lima, A.G.B, Silva, M.V. (eds.) Numerical Analysis of Heat and Mass Transfer in Porous Media, vol. 27, pp. 85\u2013119. Springer, Heidelberg (2012)","DOI":"10.1007\/978-3-642-30532-0_4"},{"issue":"3","key":"4_CR2","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1016\/0010-4361(83)90010-1","volume":"14","author":"BE Ellis","year":"1983","unstructured":"Ellis, B.E., Found, M.S.: The effects of water absorption on a polyester\/chopped strand mat laminate. Compos. 14(3), 237\u2013243 (1983)","journal-title":"Compos."},{"key":"4_CR3","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1016\/0010-4361(83)90146-5","volume":"14","author":"KS Han","year":"1983","unstructured":"Han, K.S., Koutsky, J.: Effect of water on the interlaminar fracture behaviour of glass fibre-reinforced polyester composites. Compos. 14, 67\u201370 (1983)","journal-title":"Compos."},{"key":"4_CR4","doi-asserted-by":"crossref","unstructured":"Camino, G., Luda, M.P., Polishchuk, A.Y., Revellino, M., Blancon, R., Merle, G., Martinez-Veja, J.J.: Kinetic aspects of water sorption in polyester resin\/glass-fibre composites. Compos. Sci. Technol. 57, 1469\u20131482 (1997)","DOI":"10.1016\/S0266-3538(97)00065-1"},{"key":"4_CR5","doi-asserted-by":"publisher","first-page":"709","DOI":"10.1016\/S1359-835X(00)00145-7","volume":"32","author":"HS Choi","year":"2001","unstructured":"Choi, H.S., Ahn, K.J., Nan, J.-D., Chun, H.J.: Hygroscopic aspects of epoxi\/carbon fiber composite laminates in aircraft environments. Compos. Part A: Appl. Sci. Manuf. 32, 709\u2013720 (2001)","journal-title":"Compos. Part A: Appl. Sci. Manuf."},{"key":"4_CR6","doi-asserted-by":"crossref","unstructured":"Srihari, S., Revathi, A., Rao, R.M.V.G.K.: Hygrothermal effects on RT-cured glass-epoxi composites in immersion environments. Part A: Moisture absorption characteritics. J. Reinf. Plast. Compos. 21, 11, 983\u2013991 (2002)","DOI":"10.1177\/073168402128987644"},{"issue":"8","key":"4_CR7","doi-asserted-by":"publisher","first-page":"993","DOI":"10.1177\/0021998306067265","volume":"41","author":"J Yao","year":"2007","unstructured":"Yao, J., Ziegmann, G.: Water absorption behavior and its influence on properties of GRP pipe. J. Compos. Mater. 41(8), 993\u20131008 (2007)","journal-title":"J. Compos. Mater."},{"issue":"3","key":"4_CR8","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1177\/0731684407072519","volume":"26","author":"KS Najafi","year":"2007","unstructured":"Najafi, K.S., Kiaefar, A., Hamidinia, E., Tajvidi, M.: Water absorption behavior of composites from sawdust and recycled plastics. J. Reinf. Plast. Compos. 26(3), 341\u2013348 (2007)","journal-title":"J. Reinf. Plast. Compos."},{"issue":"5","key":"4_CR9","doi-asserted-by":"publisher","first-page":"887","DOI":"10.1016\/j.compositesa.2008.01.005","volume":"39","author":"HA Katzman","year":"2008","unstructured":"Katzman, H.A., Castaneda, R.M., Lee, H.S.: Moisture diffusion in composite sandwich structures. Compos. Part A: App. Sci. Manuf. 39(5), 887\u2013892 (2008)","journal-title":"Compos. Part A: App. Sci. Manuf."},{"issue":"26","key":"4_CR10","doi-asserted-by":"publisher","first-page":"2815","DOI":"10.1177\/0021998308096668","volume":"42","author":"G Cz\u00e9l","year":"2008","unstructured":"Cz\u00e9l, G., Czig\u00e1ny, T.: A study of water absorption and mechanical properties of glass fiber\/polyester composite pipes \u2014 Effects of specimen geometry and preparation. J. Compos. Mater. 42(26), 2815\u20132827 (2008)","journal-title":"J. Compos. Mater."},{"key":"4_CR11","doi-asserted-by":"crossref","unstructured":"Chateauminois, A., Vicent, L., Chabert, B.E., Soulier, J.P.: Study of the interfacial degradation of a glass-epoxi composite during hygrothermal ageig using water diffusion measurements and dynamic mechanical thermal analysis Polym. 35(22), 4766\u20134774 (1994)","DOI":"10.1016\/0032-3861(94)90730-7"},{"issue":"12","key":"4_CR12","first-page":"1036","volume":"20","author":"RMV Pavan","year":"2001","unstructured":"Pavan, R.M.V., Saravanan, V., Dinesh, A.R., Rao, Y.J., Srihari, S., Revathi, A.: Hygrothermal effects on painted and unpaited glass\/epoxy composites- part a: moisture absorption characteristics. J. Reinf. Plast. Compos. 20(12), 1036\u20131046 (2001)","journal-title":"J. Reinf. Plast. Compos."},{"key":"4_CR13","doi-asserted-by":"publisher","first-page":"2099","DOI":"10.1016\/S0266-3538(02)00161-6","volume":"62","author":"LR Bao","year":"2002","unstructured":"Bao, L.R., Yee, A.F.: Moisture diffusion and hygrothermal aging in bismaleimide matrix carbon fiber composites-part I: uni-weave composites. Compos. Sci. Technol. 62, 2099\u20132110 (2002)","journal-title":"Compos. Sci. Technol."},{"key":"4_CR14","unstructured":"Cavalcanti, W.S., Carvalho, L.H., Lima, A.G.B.: Water diffusion in unsaturated polyester composite reinforced by a hybrid jute\/glass fabric: modeling and simulation. Rev. Mat\u00e9r. 10(1), 14\u201323 (2005) (In Portuguese)"},{"key":"4_CR15","volume-title":"Polyester\/hybrid jute-glass fabric composites: mechanical characterization and water sorption simulation Doctorate Thesis","author":"WS Cavalcanti","year":"2006","unstructured":"Cavalcanti, W.S.: Polyester\/hybrid jute-glass fabric composites: mechanical characterization and water sorption simulation Doctorate Thesis. Federal University of Campina Grande, Para\u00edba, Brazil, Process Engineering (2006).(In Portuguese)"},{"key":"4_CR16","unstructured":"Santos, D.G.: Thermo-hydric study and mechanical characterization of polymeric matrix composites reinforced with vegetable fiber: 3D simulation and experimentation. Doctoral Thesis in Process Engineering, Federal University of Campina Grande, Campina Grande, Brazil (2017)"},{"key":"4_CR17","doi-asserted-by":"publisher","first-page":"143","DOI":"10.4028\/www.scientific.net\/DF.20.143","volume":"20","author":"DG Santos","year":"2018","unstructured":"Santos, D.G., Lima, A.G.B., Costa, P.S., Lima, E.S., Moreira, G., Nascimento, J.J.S.: Water absorption in sisal fiber reinforced-polymeric matrix composites: three-dimensional simulations and experiments. Diffus. Found. 20, 143\u2013154 (2018)","journal-title":"Diffus. Found."},{"key":"4_CR18","unstructured":"Melo, J.B.C.A.: Water absorption in fiber reinforced polymer composites of pineapple leaf: modeling and simulation. Doctorate Thesis in Process Engineering. Federal University of Campina Grande, Campina Grande, Brazil (2014) (In Portuguese)"},{"key":"4_CR19","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1007\/978-3-642-37469-2_2","volume-title":"Industrial and Technological Applications of Transport in Porous Materials","author":"LH Carvalho","year":"2013","unstructured":"Carvalho, L.H., Canedo, E.L., Neto, S.F., Lima, A.G.B.: Moisture transport process in vegetable fiber composites: theory and analysis for technological applications. In: Delgado, J.M.P.Q. (ed.) Industrial and Technological Applications of Transport in Porous Materials, pp. 37\u201362. Springer, Berlin (2013)"},{"key":"4_CR20","volume-title":"Analytical Heat Diffusion Theory","author":"AV Luikov","year":"1968","unstructured":"Luikov, A.V.: Analytical Heat Diffusion Theory. Academic, London (1968)"},{"key":"4_CR21","volume-title":"Heat Conduction and Mass Diffusion","author":"B Gebhart","year":"1993","unstructured":"Gebhart, B.: Heat Conduction and Mass Diffusion. McGraw-Hill Inc., New York (1993)"},{"key":"4_CR22","volume-title":"Numerical Heat Transfer and Fluid Flow","author":"SV Patankar","year":"1980","unstructured":"Patankar, S.V.: Numerical Heat Transfer and Fluid Flow. Hemisphere Publishing Corporation, New York (1980)"},{"key":"4_CR23","volume-title":"Computational Heat Transfer and Fluid Mechanics","author":"CR Maliska","year":"2004","unstructured":"Maliska, C.R.: Computational Heat Transfer and Fluid Mechanics. LTC, Rio de Janeiro (2004).(In Portuguese)"},{"key":"4_CR24","unstructured":"Versteeg, H.K.; Malalasekera, W.: An Introduction to Computational Fluid Dynamics: the finite volume method. Pearson Education Limited, Harlow, England (1995)"},{"key":"4_CR25","volume-title":"Theory and Design for Mechanical Measurements","author":"RS Figliola","year":"1995","unstructured":"Figliola, R.S., Beasley, D.E.: Theory and Design for Mechanical Measurements. Wiley, New York (1995)"},{"key":"4_CR26","unstructured":"Silva, C.J.: Water Absorption in Composite Materials of Vegetal Fiber: Modeling and Simulation via CFX. Master Dissertation in Mechanical Engineering, Federal University of Campina Grande, Campina Grande, Brazil (2014)"},{"key":"4_CR27","doi-asserted-by":"crossref","unstructured":"Silva, C.J., Barbosa de Lima, A.G., Silva, E.G, Andrade, T.H.F., MELO, R.Q.C.: Water Absorption in Caro\u00e1-Fiber Reinforced Polymer Composite at Different Temperatures: A Theoretical Investigation. Diffusion Foundations, vol. 10, pp. 16\u201327 (2017)","DOI":"10.4028\/www.scientific.net\/DF.10.16"},{"key":"4_CR28","doi-asserted-by":"publisher","first-page":"84","DOI":"10.4028\/www.scientific.net\/DDF.353.84","volume":"353","author":"CJ Silva","year":"2014","unstructured":"Silva, C.J., Andrade, T.H.F., Silva, E.G., Lima, A.G.B.: Water absorption in composites reinforced with Caroa- fiber fabrics: modeling and simulation via ANSYS CFX\u00ae. Defect Diffus. Forum. 353, 84\u201389 (2014)","journal-title":"Defect Diffus. Forum."},{"key":"4_CR29","doi-asserted-by":"publisher","first-page":"1357","DOI":"10.1016\/S0266-3538(02)00080-5","volume":"62","author":"PV Joseph","year":"2002","unstructured":"Joseph, P.V., Rabello, M.S., Mattoso, L.H.C., Joseph, K., Thomas, S.: Environmental effects on the degradation behaviour of sisal fibre reinforced polypropylene composites. Compos. Sci. Technol. 62, 1357\u20131372 (2002)","journal-title":"Compos. Sci. Technol."},{"key":"4_CR30","first-page":"306","volume":"67","author":"CPL Chow","year":"2007","unstructured":"Chow, C.P.L., Xing, X.S., Li, R.K.Y.: Moisture absorption studies of sisal fibre reinforced polypropylene composites compos. Sci. Technol. 67, 306\u2013313 (2007)","journal-title":"Sci. Technol."},{"key":"4_CR31","doi-asserted-by":"publisher","first-page":"432","DOI":"10.1016\/j.compscitech.2008.11.012","volume":"69","author":"YI Tsai","year":"2009","unstructured":"Tsai, Y.I., Bosze, E.J., Barjasteh, E., Nutt, S.R.: Influence of hygrothermal environment on thermal and mechanical properties of carbon fiber\/fiberglass hybrid composites. Compos. Sci. Technol. 69, 432\u2013437 (2009)","journal-title":"Compos. Sci. Technol."},{"key":"4_CR32","unstructured":"N\u00f3brega, M.M.S.: Polyester matrix composite with caro\u00e1 fibers (Neoglaziovia variegata): Mechanical charcterization and water sorption, Doctorate Thesis, Process Engineering, Federal University of Campina Grande, Para\u00edba, Brazil (2007), (In Portuguese)"},{"key":"4_CR33","doi-asserted-by":"crossref","unstructured":"N\u00f3brega, M.M.S., Cavalcanti, W.S., Carvalho, L.H., Lima, A.G.B.: Water absorption in unsaturated polyester composites reinforced with caro\u00e1 fiber fabrics: modeling and simulation. Mat.-wiss. u.Werkstofftech. 41, 300\u2013305 (2010)","DOI":"10.1002\/mawe.201000601"},{"issue":"11","key":"4_CR34","doi-asserted-by":"publisher","first-page":"4467","DOI":"10.1002\/app.1985.070301120","volume":"30","author":"VB Gupta","year":"1985","unstructured":"Gupta, V.B., Drzal, J.L., Rich, M.J.: The physical basis of moisture transport in a cured epoxy resin system. J. Appl. Polym. Sci. 30(11), 4467\u20134493 (1985)","journal-title":"J. Appl. Polym. Sci."},{"issue":"9","key":"4_CR35","doi-asserted-by":"publisher","first-page":"753","DOI":"10.1023\/A:1025080103857","volume":"14","author":"PE Lagouvardos","year":"2003","unstructured":"Lagouvardos, P.E., Pissis, P., Kyritsis, A., Daoukaki, D.: Water sorption and water-induced molecular mobility in dental composite resins. J. Mater. Sci. Mater. Med. 14(9), 753\u2013759 (2003)","journal-title":"J. Mater. Sci. Mater. Med."},{"key":"4_CR36","doi-asserted-by":"publisher","first-page":"279","DOI":"10.1002\/aic.690280217","volume":"28","author":"JL Duda","year":"1982","unstructured":"Duda, J.L., Vrentas, J.S., Ju, S.T., Liu, H.T.: Prediction of diffusion coefficients for polymer-solvent systems. AIChE J. 28, 279\u2013285 (1982)","journal-title":"AIChE J."},{"key":"4_CR37","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1016\/j.compscitech.2005.07.027","volume":"66","author":"W Wang","year":"2006","unstructured":"Wang, W., Sain, M., Cooper, P.A.: Study of moisture absorption in natural fiber plastic composites. Compos. Sci. Technol. 66, 379\u2013386 (2006)","journal-title":"Compos. Sci. Technol."},{"key":"4_CR38","doi-asserted-by":"publisher","first-page":"487","DOI":"10.1016\/S0266-3538(01)00138-5","volume":"62","author":"I Merdas","year":"2002","unstructured":"Merdas, I., Thominette, F., Tcharkhtchi, A., Verdu, J.: Factors governing water absorption by composite matrices. Compos. Sci. Technol. 62, 487\u2013492 (2002)","journal-title":"Compos. Sci. Technol."},{"issue":"26","key":"4_CR39","doi-asserted-by":"publisher","first-page":"7313","DOI":"10.1016\/S0032-3861(99)00093-2","volume":"40","author":"NE Marcovich","year":"1999","unstructured":"Marcovich, N.E., Reboredo, M.M., Aranguren, M.I.: Moisture diffusion in polyester - woodflour composites. Polym. 40(26), 7313\u20137320 (1999)","journal-title":"Polym."},{"key":"4_CR40","unstructured":"Lima, A. G. B.: Diffusion phenomena in prolate spheroidal solids: Studied case: Drying of banana. Doctorate Thesis, Mechanical Engineering, State University of Campinas, Campinas, Brazil (1999) (In Portuguese)"},{"key":"4_CR41","doi-asserted-by":"crossref","unstructured":"Silva, W. P., Silva C. M. D. P. S., Farias, V. S. O., Lima A. G. B.: Effect of the geometry on the description of the water absorption by composite materials using diffusion models. Mat.-wiss. u.Werkstofftech. 42, 8, 747\u2013752 (2011)","DOI":"10.1002\/mawe.201100800"},{"key":"4_CR42","doi-asserted-by":"crossref","unstructured":"Cavalcanti, W. S., de Lima, A. G. B., Carvalho, L. H.: Water sorption in unsaturated polyester composites reinforced with jute and jute\/glass fiber fabrics: Modeling, simulation and experimentation. Pol\u00edmeros: Ci\u00eancia e Tecnologia 20, 1, 78\u201383 (2010) (In Portuguese)","DOI":"10.1590\/S0104-14282010005000007"},{"key":"4_CR43","unstructured":"Osman, E., Vakhguelt, E., Sbarski, I., Mutasher, S.: Water absorption behavior and its effect on the mechanical properties of kenaf natural fiber unsaturated polyester composites. In: Proceedings of the 18th International Conference on Composite Materials, Edinburgh, Scotland (2009)"},{"key":"4_CR44","doi-asserted-by":"crossref","unstructured":"Alsina, O.L.S.; Carvalho, L.H.; Ramos Filho, F.G.; d'Almeida, J.R.M.: Immersion temperature effects on the water absorption behavior of hybrid lignocellulosic fiber reinforced-polyester matrix composites. Polym. \u2013 Plast. Technol. Eng. 46(5), 515\u2013520 (2007)","DOI":"10.1080\/03602550701297244"}],"container-title":["Advanced Structured Materials","Moisture Transport in Polymer Composite Materials"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-77826-2_4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,3,19]],"date-time":"2022-03-19T07:15:12Z","timestamp":1647674112000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-77826-2_4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022]]},"ISBN":["9783030778255","9783030778262"],"references-count":44,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-77826-2_4","relation":{},"ISSN":["1869-8433","1869-8441"],"issn-type":[{"value":"1869-8433","type":"print"},{"value":"1869-8441","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022]]},"assertion":[{"value":"20 March 2022","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}