A three-dimensional ÿnite-volume/Newton method is developed for solving thermal-capillary problems in materials processing. The conductive heat transfer, melt-solid interfaces, the melt-gas free surface, and the shape of grown material are calculated simultaneously. The implementation of interface a
A Newton method for three-dimensional fretting problems
✍ Scribed by Niclas Strömberg
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 894 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0020-7683
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✦ Synopsis
The present paper concerns the numerical treatment of fretting problems using a _nite element analysis[ The governing equations resulting from a formal _nite element discretization of an elastic body with a potential contact surface are considered in a quasi!static setting[ The constitutive equations of the potential contact surface are Signorini|s contact conditions\ Coulomb|s law of friction and Archard|s law of wear[ Using a backward Euler time discretization and an approach based on projections\ the governing equations are written as an augmented Lagrangian formulation which is implemented and solved using a Newton algorithm for three!dimensional fretting problems of didactic nature[ Details concerning the implementation are provided[
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