عنوان

Contact modeling for solids and particles /

(Number (ISBN

3319901559

(Number (ISBN

9783319901558

Erroneous ISBN

3319901540

Erroneous ISBN

9783319901541

Title Proper

Contact modeling for solids and particles /

General Material Designation

[Book]

First Statement of Responsibility

Alexander Popp, Peter Wriggers, editors.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

2018.

Specific Material Designation and Extent of Item

1 online resource (vii, 228 pages) :

Other Physical Details

illustrations (some color)

Series Title

CISM International Centre for Mechanical Sciences, Courses and lectures,

Volume Designation

volume 585

ISSN of Series

0254-1971 ;

Text of Note

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.

Text of Note

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.

Text of Note

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.

Text of Note

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.

Text of Note

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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Text of Note

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.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783319901558

International Standard Book Number

9783319901541

Contact mechanics.

Condensed matter physics (liquid state & solid state physics)

Contact mechanics.

Materials science.

Mathematical modelling.

Mechanics of solids.

TECHNOLOGY & ENGINEERING-- Engineering (General)

TECHNOLOGY & ENGINEERING-- Reference.

TEC-- 009000

TEC-- 035000

TG

Number

Edition

Class number

Popp, Alexander

Wriggers, P.

Date of Transaction

20200823115255.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y