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Can I read Mathematical and Computational Aspects of Nonuniform Frictional Slip Modeling on EtoBox?
Mathematical and Computational Aspects of Nonuniform Frictional Slip Modeling by Larissa Gorbatikh is a Mathematics article available to read on EtoBox.
What is Mathematical and Computational Aspects of Nonuniform Frictional Slip Modeling about?
A mechanics-based model of non-uniform frictional sliding is studied from the mathematical/computational analysis point of view. This problem is of a key importance for a number of applications (particularly geomechanical ones), where materials interfaces undergo partial frictional sliding under compression and shear. We show that the problem is reduced to Dirichlet's problem for monotonic loading and to Riemman's problem for cyclic loading. The problem may look like a traditional crack interaction problem, however, it is confounded by the fact that locations of n sliding intervals are not known. They are to be determined from the condition for the stress intensity factors: K II = 0 at the ends of the sliding zones. Computationally, it reduces to solving a system of 2n coupled non-linear algebraic equations involving singular integrals with unknown limits of integration.
Who reads Mathematical and Computational Aspects of Nonuniform Frictional Slip Modeling?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Larissa Gorbatikh
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0377-0427)
- Published
- 2004
- Language
- EN
- Field
- Mathematics (Physical Sciences)