@manual{
	titlea = "Prof.",
	vornamea = "Alexander",
	namea = "Popp",
	departmenta = "Fakultät für Bauingenieurwesen und Umweltwissenschaften",
	institutea = "BAU 1 - Institut für Mathematik und Bauinformatik",
	titleb = "",
	vornameb = "",
	nameb = "",
	departmentb = "",
	instituteb = "",
	titlec = "",
	vornamec = "",
	namec = "",
	departmentc = "",
	institutec = "",
	external-funds = "Deutscher Akademischer Austauschdienst (DAAD)",
	company = "",
	project-title = "Multi-Scale Modeling of Friction for Large-Scale Engineering Problems (DAAD ID: 57396900)",
	project-abstract = "The aim of this project is to develop an efficient two-scale numerical scheme integrating implicit finite

element computations at the macro-scale and the boundary element method at the micro-scale for the

accurate solution of frictional contact problems with microscopic interface roughness. The whole range

of sliding regimes, from the full stick to the full slip and also full sliding, will be handled, as well as any

complex loading path. The problem of frictional contact is relevant in many research areas of

engineering and physics. In mechanical engineering, it is important in configurations such as bolted

joints, wheel-rail contact, bearings, brakes or wheel-asphalt contact. It is also of interest for the

interaction between soil and pile foundations in civil and geotechnical engineering applications. In

biomechanics, the relative motion in hip-joint prostheses leading to wear is also ruled by friction. In all

of such fundamental problems, the interface between bodies in contact is not flat and its roughness

presents multiscale features that influence the deformation and the stress states in the material.

In this context, finite element (FE)-based computational methods are very promising for the solution of

the frictional contact problem, due to their capability to deal with complex, realistic model geometries

and with material and geometrical nonlinearities. Among the techniques available in the literature, the

mortar method is considered as one of the most suitable ones for large relative sliding displacements, accommodating also different mesh discretizations of the two bodies in contact along their common

interface. The present project aims at developing a new two-scale computational method to enrich the

interface constitutive model of the basic mortar method, accounting for roughness. As a main

difference from the existing approach where the contact interface is assumed to be nominally flat and

the classical Coulomb friction law is postulated to govern the relative tangential motion, the proposed

approach will allow the simulation of partial slip regimes ranging from full stick to full slip, and then

followed by gross sliding, explicitly considering the effect of microscopical roughness. Previous

attempts to include roughness in the finite element method (FEM) within node-to-surface contact

algorithms have considered FE^2-type approaches where a nested finite element problem with

roughness is solved at each integration point of the macroscopic flat interface. To accelerate

computations, the use of look-up tables collecting contact results obtained from off-line finite element

analyses has been proposed. As compared to these approaches, the proposed multi-scale method will

use boundary element methods (BEM) instead of FEM at the microscale, to reduce the computational

cost. Moreover, for the simulation of any arbitrary loading path, the micro-scale contact response will

be determined by exploiting novel mathematical analogies to derive the solution from the history of the

normal contact problem, with an expected significant speed-up of computations.",
	proj-beginn = "01.04.2018",
	proj-end = "31.03.2020",
	forschungszentrum = ""
}