Estimates for the overall linear properties of pointwise heterogeneous solids with application to elasto-viscoplasticity |
| |
| Affiliation: | 1. Laboratoire de Mécanique et d''Acoustique, CNRS UPR 7051, Aix-Marseille University, Ecole Centrale Marseille, 4 impasse Nikola Tesla, 13453 Marseille Cedex 13, France;2. Departamento de Aeronáutica, Facultad de Ingeniería, Universidad Nacional de La Plata, Avda. 1 esq. 47 S/N, La Plata B1900TAG, Argentina;3. Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), CCT La Plata, Calle 8 No 1467, La Plata B1904CMC, Argentina;1. ONERA, Chemin de la Hunière, BP 80100, 92123 Palaiseau, France;2. Université de Lyon, CNRS, LMC2 – Université Lyon1, 69622 Villeurbanne, France;1. Centro de Modelamiento Matemático, Universidad de Chile, Chile;2. CEREMADE, Université Paris Dauphine, Paris Sciences et Lettres, France;3. Université Paris 13, Sorbonne Paris Cité, LAGA, CNRS (UMR 7539), F-93430, Villetaneuse, France;1. Department of Mathematical Analysis, Taras Shevchenko National University of Kyiv, Volodymyrska 64, 01033 Kyiv, Ukraine;2. Department of Mathematical Sciences, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway;3. Department of Mathematics and Statistics, University of Reading, United Kingdom;1. Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, People''s Republic of China;2. Department of Mathematics, University of Calgary, Calgary, T2N 1N4, Canada |
| |
| Abstract: | New estimates are derived for the overall properties of linear solids with pointwise heterogeneous local properties. The derivation relies on the use of ‘comparison solids’ which, unlike comparison solids considered previously, are themselves pointwise heterogeneous. The estimates are then exploited within an incremental homogenization scheme to determine the overall response of multiphase elasto-viscoplastic solids under arbitrary loading histories. By way of example, the scheme is applied to incompressible Maxwellian solids with power-law plastic dissipation; particularly simple estimates of the Hashin–Shtrikman type are obtained. Predictions are confronted with full-field simulations for particulate composites under cyclic and rotating loading conditions. Good agreement is found for all cases considered. In particular, elasto-plastic transitions, tension-compression asymmetries (Bauschinger effect) and stress-path distortions induced by material heterogeneity are all well-captured, thus improving significantly on commonly used elastic-plastic decoupled schemes. |
| |
| Keywords: | Heterogeneous materials Elasto-viscoplasticity Variational methods Homogenization |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
