Automatic path planning has many applications in robotics, computer-aided design(CAD) and industrial manipulation. The property of safety is vital but seldom taken into consideraion by typical path planning. In this paper, collision probability is introduced as an evaluation of crowd degree of environments to get a safer path. The smaller collision probability a node has, the more possibly the ...

A new population balance model is introduced, in which a pair of particles can coagulate into larger one if their encounter completely inelastic collision; otherwise, them breaks multiple fragments (two or more) due to the elastic collision. Mathematically, coagulation and breakage models both manifest nonlinearity behavior. We prove global existence uniqueness solution this for compactly suppo...

We investigate the fragmentation process of solid materials with crystalline and amorphous phases using the the discrete element method. Damage initiates inside spherical samples above the contact zone in a region where the circumferential stress field is tensile. Cracks initiated in this region grow to form meridional planes. If the collision energy exceeds a critical value which depends on th...

We study the mechanisms of damage production during ion irradiation using molecular dynamics simulations of 400 eV 10 keV collision cascades in four different materials. The materials Al, Si, Cu and Ge are contrasted to each other with respect to the mass, melting temperature and crystal structure. The results show that the crystal structure clearly has the strongest effect on the nature of the...

This paper presents a methodology called SHARC developed for the simulation and analysis of ship's damage stability ULS conditions following collision. combines three types methods: advanced nonlinear finite element simulations that simulate collision scenario, dynamic tool SIMCAP, modified Smith method collision-damaged ship structure. The novelty presented is it can be used real-time to study...

Treatment of diseases with natural remedies is gaining popularity because of its fewer side effects.   A systemic and scientific investigation of aqueous extract of Euphorbia tirucalli for its antioxidant and hepatoprotective potential against carbon-tetrachloride-induced hepatic damage in rats was carried out . Antioxidant property was assessed by using reducing property, superoxide a...

A hash function is an algorithm that compresses messages of arbitrary length into short digests of fixed length. If the function additionally satisfies certain security properties, it becomes a powerful tool in the design of cryptographic protocols. The most important property is collision-resistance, which requires that it should be hard to find two distinct messages that evaluate to the same ...