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Contact modeling for solids and particles

Author: Alexander Popp; P Wriggers
Publisher: Cham, Switzerland : Springer, 2018.
Series: Courses and lectures, no. 585.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Alexander Popp; P Wriggers
ISBN: 9783319901558 3319901559
OCLC Number: 1036987306
Description: 1 online resource (vii, 228 pages) : illustrations (some color).
Contents: Intro; Preface; Contents; State-of-the-Art Computational Methods for Finite Deformation Contact Modeling of Solids and Structures; 1 Introduction and Motivation; 2 Contact Mechanics and FEM; 3 Overview of Nonlinear Continuum Mechanics; 3.1 Kinematics; 3.2 Stresses and Constitutive Laws; 3.3 Initial Boundary Value Problem; 3.4 Contact Kinematics; 3.5 Tied Contact Constraints; 3.6 Normal Contact Constraints; 3.7 Frictional Contact Constraints; 4 Overview of Nonlinear FEM; 4.1 From Strong Formulation to Weak Formulation; 4.2 Space Discretization; 4.3 Time Discretization 4.4 Linearization and Solution Techniques for Nonlinear Equations5 Mortar Methods for Tied Contact; 5.1 Strong Formulation; 5.2 Weak Formulation; 5.3 Finite Element Discretization; 5.4 Evaluation of Mortar Integrals in 3D; 5.5 Solution Methods; 5.6 Numerical Example; 6 Mortar Methods for Unilateral Contact; 6.1 Strong Formulation; 6.2 Weak Formulation; 6.3 Finite Element Discretization; 6.4 Active Set Strategy and Semi-smooth Newton Methods; 6.5 Solution Methods; 6.6 Numerical Example; 7 Algorithmic Aspects and Extensions; 7.1 Discrete Lagrange Multipliers; 7.2 Parallel Computing 7.3 Numerical Integration7.4 Isogeometric Analysis (IGA); 8 Interface Modeling --
Wear and Thermomechanics; 8.1 Wear Modeling; 8.2 Thermomechanics Modeling; 9 Summary and Outlook; References; Advanced Discretization Methods for Contact Mechanics; 1 Theoretical Background for Contact Mechanics; 1.1 Contact Geometry; 1.2 Contact Contribution to the Variational Form; 1.3 Frictional Contact; 2 Isogeometric Contact Formulations; 2.1 Isogeometric Treatment of Contact; 2.2 Knot-to-Surface Contact Algorithm; 2.3 Relaxation of Contact Constraints: Mortar KTS; 3 Virtual Element Method for Contact 3.1 Formulation of the Virtual Element Method3.2 Contact Approach Using VEM; 3.3 Numerical Examples; 4 Contact Domain and Third Media Approaches; 4.1 Continuum Mechanics Background; 4.2 Continuum Formulation for the Medium; 4.3 Kinematics at the Interface; 4.4 Comparison to a Standard Contact Formulation; References; Finite Wear and Soft Elasto-Hydrodynamic Lubrication: Beyond the Classical Frictional Contact of Soft Solids; 1 Introduction; 2 Finite-Deformation Frictional Contact Problem; 3 Archard-Type Wear Law; 3.1 Nominal and Spatial Wear Rate; 3.2 Archard Wear Law at Finite Deformation 4 Finite-Wear Problem4.1 Finite-Wear Kinematics: Three Configurations; 4.2 Separation of Time Scales; 4.3 Quasi-steady-state Wear Problems; 4.4 Time Integration of Shape Evolution Problem; 4.5 Shape Update Strategies: Discussion; 5 Finite Wear: Illustrative Examples; 5.1 Reciprocating Pin-on-flat Problem; 5.2 Elastic Ball-Rigid Flat Problem; 5.3 Rigid Ball Sliding Against Elastic Half-Space; 5.4 Finite Wear: Summary; 6 Hydrodynamic Lubrication; 6.1 Introduction to Soft-EHL; 6.2 Lubrication Surface and Film Thickness; 6.3 Reynolds Equation; 6.4 Weak Form of the Reynolds Equation
Series Title: Courses and lectures, no. 585.
Responsibility: Alexander Popp, Peter Wriggers, editors.

Abstract:

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  Read more...

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