Understanding the responses of materials of different sizes at various temperatures and strain rates is essential to evaluating the integrity and safety of microelectromechanical and nanoelectromechanical system devices under extreme loading conditions. Although material properties are size, rate, and temperature dependent in nature, little has been achieved in investigating the combined specimen size, loading rate, and temperature effects on the material properties. Based on the experimental and computational capabilities available, therefore, an attempt is made in this paper to formulate a hypersurface in spatial, temporal, and thermal domains to predict the combined size, rate, and temperature effects on the material properties of a tungsten crystalline block. It appears from the preliminary results that the proposed procedure might provide an effective means of bridging different spatial and temporal scales in a unified multi-scale modelling framework at different temperatures.
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