Thick Obstacle Problems with Dynamic Adhesive Contact
نویسندگان
چکیده
In this work, we consider dynamic frictionless contact with adhesion between a viscoelastic body of the Kelvin-Voigt type and a stationary rigid obstacle, based on the Signorini’s contact conditions. Including the adhesion processes modeled by the bonding field, a new version of energy function is defined. We use the energy function to derive a new form of energy balance which is supported by numerical results. Employing the time-discretization, we establish a numerical formulation and investigate the convergence of numerical trajectories. The fully discrete approximation which satisfies the complementarity conditions is computed by using the nonsmooth Newton’s method with the Kanzow-Kleinmichel function. Numerical simulations of a viscoelastic beam clamped at two ends are presented. Mathematics Subject Classification. 74M20, 74M15, 74K10, 35L85. Received October 4, 2007. Revised April 2nd, 2008. Published online September 25, 2008.
منابع مشابه
Adhesive Contact of Membranes and Beams
We describe models for the process of adhesive contact between a membrane or a beam and a rigid or deformable obstacle. Both quasistatic and the dynamic models are presented and the relevant existence and uniqueness results quoted. Adhesion is described by the introduction of the surface active bonds density function, which measures the fraction of active bonds between the two contacting object...
متن کاملEnergy Balance for Viscoelastic Bodies in Frictionless Contact
In this paper it is shown that the change in the energy for a linearly viscoelastic body (with Kelvin–Voigt type viscosity) in frictionless contact with a rigid obstacle can be accounted for by viscous losses and the work done by external forces. Thus there is no change in the energy due to impacts, unlike the case of rigid-body dynamics. The result can be extended to a wide class of dynamic vi...
متن کاملDynamic Obstacle Avoidance by Distributed Algorithm based on Reinforcement Learning (RESEARCH NOTE)
In this paper we focus on the application of reinforcement learning to obstacle avoidance in dynamic Environments in wireless sensor networks. A distributed algorithm based on reinforcement learning is developed for sensor networks to guide mobile robot through the dynamic obstacles. The sensor network models the danger of the area under coverage as obstacles, and has the property of adoption o...
متن کاملAn easy-to-implement numerical simulation method for adhesive contact problems involving asymmetric adhesive contact
A novel numerical method to solve asymmetric adhesive contact problems in rectangular coordinates has been developed. Surface interaction is modelled using an interface potential, deformation is coupled using Green’s functions for a half space, and the resulting system of equations is solved by a relaxation technique. The method can handle arbitrary surface topography and properties. Compared w...
متن کاملIdentification of Dynamic Damping Properties of a Flexible Structural Adhesive
In this paper dynamic damping properties of a nominated flexible structural adhesive have been identified using an extended-direct modal based joint identification method. It has been revealed that damping characteristics of adhesive are correlated to both frequency and mode shape. Young’s and shear moduli increase with frequency but damping on the other hand, decrease. The results showed that ...
متن کامل