A Study For Contact About Viscoelastic Bodies Using Finite Element Method And Its Application

A Study for Contact about Viscoelastic Bodies Using Finite Element Method and its Application Abstract In this article a theoretical study of contact problem of viscoelastic bodies has been preceded under the condition of static load, without friction and slippage, small deflection. It has included four contents mainly. Firstly, governing equations about contact are educed by node-to-node model and principle of virtual work. Contact boundary condition is added to the equations directly, which is made up of contact clearance and contact traction according to certain norm. Then, the recurrence formula of viscoelastic integral relaxation constitutive relation is educed and applied to the program. Finite element method software on elastic and viscoelastic contact bodies?displacement and stress under the condition of small deflection is developed. Taking contact problem of two elastic balls and two viscoelastic balls as example, convergence of the program is validated separately. Correctness of the programs dealing with both elastic bodies and viscoelastic bodies under the unilateral stress condition is validated after calculating eight elastic contact examples and one viscoelastic contact example under the given unilateral strain condition. Meanwhile, the program calculates the example in the reference. The results are coincided. The program calculates four axial symmetry viscoelastic examples. Some rules on viscoelastic body are found, the most important of which is: the result of continuous creep is changing pressure distribution, viz, the point of the maximum pressure changing from central parts to boundary, gradually apart from elastic principles. As application, this thesis has analyzed some rules of two apples having different maturity when they contacted and were pressed by static load.