| Description |
1 online resource (vii, 228 pages) : illustrations (some color) |
| Series |
CISM International Centre for Mechanical Sciences, Courses and lectures, 0254-1971 ; volume 585 |
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Courses and lectures ; no. 585. 0254-1971
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| 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 |
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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 |
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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 |
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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 |
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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 |
| 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 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 |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed May 21, 2018) |
| Subject |
Contact mechanics.
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Mathematical modelling.
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Condensed matter physics (liquid state & solid state physics)
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Materials science.
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Mechanics of solids.
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TECHNOLOGY & ENGINEERING -- Engineering (General)
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TECHNOLOGY & ENGINEERING -- Reference.
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Contact mechanics
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| Form |
Electronic book
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| Author |
Popp, Alexander, editor
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Wriggers, P., editor.
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| ISBN |
9783319901558 |
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3319901559 |
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