{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,21]],"date-time":"2025-10-21T15:06:52Z","timestamp":1761059212141,"version":"3.41.2"},"reference-count":31,"publisher":"ASME International","issue":"3","content-domain":{"domain":["asmedigitalcollection.asme.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2011,7,1]]},"abstract":"<jats:p>Similarly to unfilled polymers, the dynamic mechanical properties of polymer\/organoclay nanocomposites are sensitive to frequency and temperature, as well as to clay concentration. Richeton et al. (2005, \u201cA Unified Model for Stiffness Modulus of Amorphous Polymers Across Transition Temperatures and Strain Rates,\u201d Polymer, 46, pp. 8194\u20138201) has recently proposed a statistical model to describe the storage modulus variation of glassy polymers over a wide range of temperature and frequency. In the present work, we propose to extend this approach for the prediction of the stiffness of polymer composites by using two-phase composite homogenization methods. The phenomenological law developed by Takayanagi et al., 1966, J. Polym. Sci., 15, pp. 263\u2013281 and the classical bounds proposed by Voigt, 1928, Wied. Ann., 33, pp. 573\u2013587 and Reuss and Angew, 1929, Math. Mech., 29, pp. 9\u201349 models are used to compute the effective instantaneous moduli, which is then implemented in the Richeton model (Richeton et al., 2005, \u201cA Unified Model for Stiffness Modulus of Amorphous Polymers Across Transition Temperatures and Strain Rates,\u201d Polymer, 46, pp. 8194\u20138201). This adapted formulation has been successfully validated for PMMA\/cloisites 20A and 30B nanocomposites. Indeed, good agreement has been obtained between the dynamic mechanical analysis data and the model predictions of poly(methyl-methacrylate)\/organoclay nanocomposites.<\/jats:p>","DOI":"10.1115\/1.4004052","type":"journal-article","created":{"date-parts":[[2011,7,18]],"date-time":"2011-07-18T18:28:17Z","timestamp":1311013697000},"update-policy":"https:\/\/doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":18,"title":["Dynamic Mechanical Properties of PMMA\/Organoclay Nanocomposite: Experiments and Modeling"],"prefix":"10.1115","volume":"133","author":[{"given":"Rodrigue Matadi","family":"Boumbimba","sequence":"first","affiliation":[{"name":"IMFS, University of Strasbourg, 2 Rue Boussingault, 67000 Strasbourg, France"}]},{"given":"Said","family":"Ahzi","sequence":"additional","affiliation":[{"name":"IMFS, University of Strasbourg, 2 Rue Boussingault, 67000 Strasbourg, France; TEMA, Department of Mechanical Engineering, University of Aveiro, 3810-193 Aveiro, Portugal"}]},{"given":"Nadia","family":"Bahlouli","sequence":"additional","affiliation":[{"name":"IMFS, University of Strasbourg, 2 Rue Boussingault, 67000 Strasbourg, France e-mail:"}]},{"given":"David","family":"Ruch","sequence":"additional","affiliation":[{"name":"LTI, Public Research Center Henry Tudor, 70 Rue de Luxembourg, L-4221 Esch-sur-Alzette, Luxembourg"}]},{"given":"Jos\u00e9","family":"Gracio","sequence":"additional","affiliation":[{"name":"TEMA, Department of Mechanical Engineering, University of Aveiro, 3810-193 Aveiro, Portugal"}]}],"member":"33","published-online":{"date-parts":[[2011,7,18]]},"reference":[{"issue":"9","key":"2019100513104927200_c1","doi-asserted-by":"publisher","first-page":"1581","DOI":"10.1016\/j.scriptamat.2006.01.018","article-title":"Elastic Moduli of Clay Platelets","volume":"54","author":"Chen","journal-title":"Scr. 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