To determine the long term mechanical behavior, as Ankur Shah said, you can used the time-temperature link : storing your composites at different temperatures, increasingly high, and analyse them. Increase the temperature lets to simulate an ageing of your material.
Please specify which mecahnical property you are interested in. The time.temperature superposition principle mentioned by the collegaues can be relatively well used for creep and stress relaxation in the linearity range, but not outside. Long term strength properties cannot be predicted well by this method.
Determining long term behavior requires either appropriate accelerated aging techniques or good prediction techniques based on controlled short-term aging data. Unification of existing, available or generated data is the key in extrapolating the behavior as seen in those experiments to give long term behavior patterns. Shifting data via time-temperature superposition and other viable techniques will achieve your goal. One method of unification of data and using it to predict long term behavior is demonstrated in the paper A. V. Shenoy and D. R. Saini, One day test to predict long term mechanical behavior of plastics for a year, Polym. Testing, Vol. 6, p. 37 (1986). To better understand the concept of unification, you could also look into the book A. V. Shenoy and D. R. Saini, Thermoplastic Melt Rheology and Processing, Marcel Dekker Inc., New York (1996) which is probably available in your library. You have mentioned LD/HD blends, and some idea about at least the prediction of rheological properties of blends can be got from the paper A. V. Shenoy, D. R. Saini and V. M. Nadkarni, Melt rheology of polymer blends from melt flow index, Int. J. Polym. Mats., Vol. 10, p. 213 (1983). For filled polymers, you may try to look in the book Aroon V. Shenoy, Rheology of Filled Polymer Systems, Kluwer Academic Publishers, Netherlands (1999) for hints.
By different analysis such as DSC, mechanical test and also rheological test, its compatibility has been confirmed. but you want to be sure about blend's compatibility during its application(for some years)
Answer relies on the critical way time will affect such blend. Given such a long time, DMA time-temperature superposition graph would be an excellent tool.