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2018 | Buch

Contact Modeling for Solids and Particles

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Über dieses Buch

The book conveys modern techniques and the latest state-of-the-art with regard to the most fundamental aspects of computational contact mechanics. However, since contact can readily be interpreted as a special type of interface problem, it seems advisable not to isolate contact mechanics, but rather to address it in the context of a broader class of problems denoted as computational interface mechanics. The book gives a clear understanding of the underlying physics of interfaces, and a comprehensive insight into the current state-of-the-art and selected cutting-edge research directions in the computational treatment of interface effects. It focuses on the modeling of friction, wear, lubrication, cohesive interfaces, grain boundaries, phase boundaries, fracture, thermo-mechanics and particulate contact (e.g. granular media). Also the most important computational aspects are addressed, including discretization techniques for finite deformations, solution algorithms for single- and multi-processor computing environments, multi-scale approaches, discrete element models and multi-physics problems including contact and interface constraints. Among the computational techniques covered in this book are finite element (FEM) and boundary element (BEM) methods, atomistic models, molecular dynamics (MD), discrete element methods (DEM), coupling approaches for multi-scale simulations, and tools for an efficient automated FEM code generation.

Inhaltsverzeichnis

Frontmatter
State-of-the-Art Computational Methods for Finite Deformation Contact Modeling of Solids and Structures
Abstract
In this contribution, we review mortar finite element methods (FEM), which are nowadays the most well-established computational technique for contact modeling of solids and structures in the context of finite deformations and frictional sliding. Based on some concepts of nonlinear continuum mechanics, the mortar approach is first presented for the more accessible case of mesh tying (also referred to as tied contact). Mortar methods for unilateral contact then follow in a rather straightforward manner, despite the fact that several complexities, such as inequality constraints, are added to the problem formulation. A special focus is set on practical aspects of the implementation of mortar methods within a fully nonlinear, 3D finite element environment. Specifically, the choice of suitable discrete Lagrange multiplier bases, aspects of high performance computing (HPC), numerical integration procedures and new discretization techniques such as isogeometric analysis (IGA) using NURBS are discussed. Eventually, the great potential of mortar methods in the more general field of computational interface mechanics is exemplified through applications such as wear modeling and coupled thermo-mechanical interfaces.
Alexander Popp
Advanced Discretization Methods for Contact Mechanics
Abstract
Modeling of contact problems is essential for many problems in engineering in order to predict the behaviour and response of various systems. One can think of pile driving, complex bearings, connections in Civil Engineering, of vehicle road interaction, machines and forming processes in Mechanical Engineering and of MEMS and electrical circuits in Electrical Engineering. All these systems need predictions of the behaviour, durability and efficiency. Hence models are needed that have to be solved by numerical methods due to their complexity. This contribution is aimed at modeling of contact in solid mechanics. Due to the necessity to use numerical methods for the solution of most contact applications this paper will focus mainly on numerical simulation models. Here especially new methodologies are considered that are non-standard and open the possibility for more general application ranges when compared to conventional approaches.
Peter Wriggers
Finite Wear and Soft Elasto-Hydrodynamic Lubrication: Beyond the Classical Frictional Contact of Soft Solids
Abstract
Two classes of contact problems are discussed, namely finite-wear and soft-EHL problems, which go beyond the classical framework of frictional contact problems. The focus is on the finite-deformation effects and on the computational strategies adequate for the modelling of those problems. By finite wear we mean here the class of contact and wear problems in which finite deformations and finite shape changes due to wear are allowed. The soft-EHL regime of hydrodynamic lubrication is encountered in the case of lubricated contact of compliant solids, such as elastomers or soft tissues, when a relatively low hydrodynamic pressure suffices to significantly deform the solid. In each case, the respective continuum formulation is first introduced, followed by the description of the finite-element treatment and by representative numerical examples.
Stanisław Stupkiewicz
Contact Modeling in the Discrete Element Method
Abstract
The discrete element method (DEM) is a wide family of numerical methods for discrete and discontinuous modelling of materials and systems which can be represented by a large collection of particles (discrete elements). The DEM assumes that the discrete elements interact with one another by contact forces. This chapter presents basic aspects of contact modeling in the DEM. The main assumptions, theoretical formulation and numerical algorithm of the DEM are presented. In this work, the DEM formulation employing spherical particles and the soft-contact approach is considered. Basic contact models for the particle interaction are reviewed. Elementary contact mechanisms, including elasticity, plasticity, damping, friction and cohesion are discussed. Selected contact models combining these effects are described. Their performance in modelling single dynamic or quasi-static contact events is analysed. The analysis is focused on the evolution of contact forces during single collisions. Although the force-type interaction is mainly discussed, the moment-type interaction is also introduced. Formulation of the DEM contact taking into account thermal effects as well as thermomechanical coupling finishes this review.
Jerzy Rojek
Metadaten
Titel
Contact Modeling for Solids and Particles
herausgegeben von
Dr. Alexander Popp
Prof. Dr. Peter Wriggers
Copyright-Jahr
2018
Electronic ISBN
978-3-319-90155-8
Print ISBN
978-3-319-90154-1
DOI
https://doi.org/10.1007/978-3-319-90155-8

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