𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.

✦ 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[


📜 SIMILAR VOLUMES


A THREE-DIMENSIONAL FINITE-VOLUME/NEWTON
✍ C. W. LAN; M. C. LIANG 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 238 KB 👁 3 views

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

Smoothing Newton method for solving two-
✍ A. Y. T. Leung; Chen Guoqing; Chen Wanji 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 297 KB 👁 1 views

Two-and three-dimensional frictional contact problems are uniformly formulated as a system of nondifferentiable equations based on variational inequality theory. Through constructing a simple continuously differentiable approximation function to the non-differentiable one, the smoothing Newton metho

A nonsmooth Newton method for elastoplas
✍ Peter W. Christensen 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 441 KB

In this work we reformulate the incremental, small strain, J 2 -plasticity problem with linear kinematic and nonlinear isotropic hardening as a set of unconstrained, nonsmooth equations. The reformulation is done using the minimum function. The system of equations obtained is piecewise smooth which