We first show how the displacement-traction problem of nonlinear three-dimensional elasticity can be recast either as a boundary value problem or as a minimization problem over a Banach manifold, where the unknown is the Cauchy-Green strain tensor instead of the deformation as is customary. We then consider the pure displacement problem, and we show that, under appropriate smoothness assumption...

Often, calculi for manipulating and reasoning about programs can be recast as calculi for synthesizing programs. The diier-ence involves often only a slight shift of perspective: admitting metavari-ables into proofs. We propose that such calculi should be implemented in logical frameworks that support this kind of proof construction and that such an implementation can unify program veriication ...

Ti-6Al-4 V alloy is widely used in many fields due to its excellent properties. However, further applications are limited by low hardness and poor wear resistance. In this paper, gas–liquid mixed electrical discharge machining (G-LEDM) process was applied investigate the performance surface modification alloy. The effect of peak current pulse duration on morphology, roughness, cross section mic...

Abstract Aluminum hybrid composites have the potential to satisfy emerging demands of lightweight materials with enhanced mechanical properties and lower manufacturing costs. There is an inclusion reinforcing variable concentrations for preparation metal matrix attain customized properties. Hence, it obligatory investigate impact different machining conditions selection optimum parameter settin...

This research investigates the effect of machining parameters on material removal rate, electrode wear ratio, and gap clearance macro deep holes with a depth-to-diameter ratio over four. The experiments were carried out using electrical discharge side flushing multi-aperture to improve performance surface integrity. pulse on-time, off-time, current, rotation. Response methodology desirability f...

Ti-6Al-4V alloy has been widely used in industrial fields. Electrical discharge machining (EDM) is a commonly technology for alloy. During EDM of alloy, the thermal and physical characteristics tool electrode have an important influence on processing characteristics. In order to study different materials brass electrode, copper tungsten were perform this paper, electrodes with V-groove array st...