A variable stiffness parameters method for a quasi-steady rolling problem

作者：Angelov T A^*

来源：Zeitschrift fur Angewandte Mathematik und Physik, 2007, 58(5): 889-903.

DOI：10.1007/s00033-006-6068-5

• quasi-steady rolling problem with friction
• existence and uniqueness results
• variable stiffness parameters method (VSPM)

In this work a variable stiffness parameters method (VSPM) is proposed to a quasisteady rolling problem with slightly compressible, rigid-viscoplastic and isotropic hardening material model and nonlinear Coulomb friction law. The problem is stated in the form of a variational inequality, containing nonlinear and nondifferentiable terms. Under certain restrictions on the material characteristics, the convergence of the VSPM is proved and existence and uniqueness results are obtained. The applicability of the VSPM, combined with the finite element method, is shown, as an example problem is solved numerically.

• 出版日期2007-9