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In this paper a creeping movement across a very long, strike-slip fault vertical to the free surface and of finite width is considered in an isotropic, homogeneous, visco-elastic fractional order Maxwell type half space. A mathematical model for such fault movement is developed during the period when there is no fault movement and also for the aseismic period which is restored after the creeping movement. The analytical expressions of displacement, stresses and strains for both the period are determined by the use of Green's function technique and correspondence principle in terms of Mittag-Leffler function. Finally these displacement, stresses and strains are numerically computed with suitable values of the model parameters and the results thus obtained are presented graphically . A detailed study of these expressions can focus some light on the nature of the stress accumulation near the fault and the study of such earthquake fault dynamical models helps us to understand mechanism of the lithosphere-asthenosphere system.

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The growing demand of miniaturized products is tremendously influencing the progress of micro-forming technologies. The implementations of micro technologies in the field of microelectronics, sensors, and medical equipment necessitate versatile micro-forming processes. These processes facilitate the bulk production of micro parts with higher precision, minimum material waste, and better surface finish. However, micro-forming technologies are still expensive due to the limitations of traditional materials and stringent size requirements. Finite element simulations are being widely used to analyze the manufacturing process parameters before going into production. In this research, a backward micro-extrusion process is simulated for annealed copper by using commercial Finite element simulation software. The effects of different punch diameters, friction coefficients, punch velocities on the load-displacement curves and the resulting strain distributions are investigated. To overcome limitations of the post-yield hardening data from the uniaxial compression test, the Ramberg-Osgood model is proposed to predict the responses at the higher plastic strain.