Abstract
Abstract Exact solutions for the time-dependent creep behavior of a two-phase material with a lamellar microstructure are derived as a function of volume concentration and the properties of its constituents. Each phase is taken to be elastic–viscoplastic, exhibiting work-hardening characteristics. The derivation takes advantage of the condition of interfacial discontinuities over the interfaces, with a result given in a rate form for the general combined loading. Specific overall creep strains are presented along five distinctive loading directions for two kinds of viscoplastic composites: one involving an elastic and a viscoplastic phases and the other with dual viscoplastic phases. In addition to providing insightful information for the overall time-dependent creep, the exact nature of the results can also serve as a bench mark to test the accuracy of the approximate theories. In this light a secant-viscosity approach recently developed for a particle-reinforced solid ( Li and Weng (1997) . A secant-viscosity approach to the time-dependent creep of an elastic–viscoplastic composite. J. Mech. Phys. Solids , 45 , 1069) is extended to a lamellar structure and the results are tested against these exact solutions. Comparison between the two indicates that the secant-viscosity concept is a sufficiently accurate one and it can be applied to composites with other types of microgeometries.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
