An incremental relaxation finite element analysis of viscoelastic problems with contact and friction
| Autor: | J.T. Yeh, Wen-Hwa Chen, C.M. Chang |
|---|---|
| Rok vydání: | 1993 |
| Předmět: |
Generalized Maxwell model
Mechanical Engineering Traction (engineering) Mathematical analysis Constitutive equation Computational Mechanics General Physics and Astronomy Viscoelasticity Finite element method Computer Science Applications Exponential function Stress (mechanics) Mechanics of Materials Calculus Relaxation (physics) Mathematics |
| Zdroj: | Computer Methods in Applied Mechanics and Engineering. 109:315-329 |
| ISSN: | 0045-7825 |
| DOI: | 10.1016/0045-7825(93)90084-b |
| Popis: | Based on the principle of virtual work, a general but effective finite element technique associated with an incremental relaxation procedure is established for the analysis of viscoelastic contact problems with friction. A generalized Maxwell model is used to model the viscoelastic constitutive equations of which the relaxation function is represented by the sum of a series of decaying exponential functions of time. The contact behaviors are accurately performed through a transformation matrix method. By the incremental relaxation procedure developed, the stress of each element of the generalized Maxwell model at instant t ( N +1) includes two parts: (1) the part decaying from the stress at instant t ( N ) during the time interval [ t ( N ) , t ( N +1) ], and (2) the incremental stress induced from the incremental strain applied at instant t ( N ) . The total stress at instant t ( N +1) can thus be computed by the sum of the stress of the elements of the generalized Maxwell model and is only dependent on the previous stress level and the incremental strain applied at instant t ( N ) . Hence, both the total strain and displacement at each instant are not used in the total stress calculation. In addition, the numerical errors caused by selecting larger time increments can also be avoided. Finally, the influence of friction on the contact traction distributed on the contact surface at various time instants is presented. |
| Databáze: | OpenAIRE |
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