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An Incremental Mori-Tanaka Homogenization Scheme for Finite Strain Thermoelastoplasticity of MMCs
Institute of Lightweight Design and Structural Biomechanics, Vienna University of Technology, Gusshausstr. 27-29, A-1040 Vienna, Austria
Austrian Aeronautics Research (AAR), Network for Materials and Engineering, Austria
Luxner Engineering ZT, Christian Plattner-Str. 4, A-6460 Imst, Austria
* Author to whom correspondence should be addressed.
Received: 2 November 2009; in revised form: 22 December 2009 / Accepted: 24 December 2009 / Published: 13 January 2010
Abstract: The present paper aims at computational simulations of particle reinforced Metal Matrix Composites as well as parts and specimens made thereof. An incremental Mori-Tanaka approach with isotropization of the matrix tangent operator is adopted. It is extended to account for large strains by means of co-rotational Cauchy stresses and logarithmic strains and is implemented into Finite Element Method software as constitutive material law. Periodic unit cell predictions in the finite strain regime are used to verify the analytical approach with respect to non-proportional loading scenarios and assumptions concerning finite strain localization. The response of parts made of Metal Matrix Composites is predicted by a multiscale approach based on these two micromechanical methods. Results for the mesoscopic stress and strain fields as well as the microfields are presented to demonstrate to capabilities of the developed methods.
Keywords: constitutive material law; thermoelastoplasticity; finite strain; incremental mean field scheme; multiscale analysis; matrix/inclusion composites; structural analysis
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Pettermann, H.E.; Huber, C.O.; Luxner, M.H.; Nogales, S.; Böhm, H.J. An Incremental Mori-Tanaka Homogenization Scheme for Finite Strain Thermoelastoplasticity of MMCs. Materials 2010, 3, 434-451.
Pettermann HE, Huber CO, Luxner MH, Nogales S, Böhm HJ. An Incremental Mori-Tanaka Homogenization Scheme for Finite Strain Thermoelastoplasticity of MMCs. Materials. 2010; 3(1):434-451.
Pettermann, Heinz E.; Huber, Christopher O.; Luxner, Mathias H.; Nogales, Sergio; Böhm, Helmut J. 2010. "An Incremental Mori-Tanaka Homogenization Scheme for Finite Strain Thermoelastoplasticity of MMCs." Materials 3, no. 1: 434-451.