In this paper, a fresh shear-displacement model is developed for the plastic deformation of the bulk metallic glasses. The multiscale behavior in the shear banding process and the dynamics transition with the parameters are investigated in analytical form. We present a theoretical support for the transition from unstable states to stable states in the experiment by multiscale analysis and the stability analysis. With the small parameter increasing from negative to positive, the stability of the shear slipping displacement system changes, and (...) there is a limit cycle at the transition stage. Meanwhile, the phase diagram and the power spectrum also suggest that there is dynamics transition with the parameter changing. Moreover, the complexity is analyzed for different disturbance parameters, and it is coincident with the fact that the solution is more irregular for larger disturbance. In addition, we find that the amplitude of solution decreases with the temperature decreasing, which is consistent with the experimental results that the amplitude of the serration is smaller and smaller as the temperature decreases. (shrink)

In the past few decades, intensive and extensive social science studies have attempted to determine how textbooks provide society- and social reality-related information. This research type gained...

Although substantial evidence suggests receiving social support has positive implications for well-being, less is known about how providing support can confer benefits, particularly for Asian American and Latinx individuals who are more likely to come from interdependent cultures that emphasize family obligation. Asian American and Latinx college students reported on anxiety before taking part in a modified laboratory task that elicited a physiological stress response as measured by total cortisol output. They were randomly assigned to write a supportive note to (...) a family member, a supportive note to a close friend, or about their day in a control condition after the mild lab stressor and reported on psychosocial well-being. Those who provided support to a family member experienced higher self-esteem compared to those in the control condition. However, there was variation in Asian American and Latinx participants’ physiological stress response. The findings suggest that providing support to close others, particularly family members, can be differentially meaningful for individuals from diverse backgrounds. (shrink)