An asymptotic mixture theory of fiber-reinforced composites with periodic microstructure is presented for rate-independent inelastic responses, such as elastoplastic deformation. Key elements are the modeling capability of simulating critical interaction across material interfaces and the inclusion of the kinetic energy of micro-displacements. The construction of the proposed mixture model, which is deterministic, instead of phenomenological, is accomplished by resorting to a variational approach. The principle of virtual work is used for total quantities to derive mixture equations of motion and boundary conditions, while Reissner’s mixed variational principle (1984, 1986), applied to the incremental boundary value problem yields consistent mixture constitutive relations. In order to assess the model accuracy, numerical experiments were conducted for static and dynamic loads. The prediction of the model in the time domain was obtained by an explicit finite element code. DYNA2D is used to furnish numerically exact data for the problems by discretizing the details of the microstructure. On the other hand, the model capability of predicting effective tangent moduli was tested by comparing results with NIKE2D. In all cases, good agreement was observed between the predicted and exact data for plastic, as well as elastic responses.
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December 1991
Research Papers
High-Order Mixture Homogenization of Fiber-Reinforced Composites
A. Toledano,
A. Toledano
Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093-0411
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H. Murakami
H. Murakami
Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093-0411
Search for other works by this author on:
A. Toledano
Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093-0411
H. Murakami
Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093-0411
J. Energy Resour. Technol. Dec 1991, 113(4): 254-263 (10 pages)
Published Online: December 1, 1991
Article history
Received:
October 1, 1989
Revised:
June 23, 1991
Online:
April 16, 2008
Citation
Toledano, A., and Murakami, H. (December 1, 1991). "High-Order Mixture Homogenization of Fiber-Reinforced Composites." ASME. J. Energy Resour. Technol. December 1991; 113(4): 254–263. https://doi.org/10.1115/1.2905909
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