Three Dimensional Contact Problems

Three Dimensional Contact Problems PDF
Author: A.M. Alexandrov
Publisher: Springer Science & Business Media
ISBN: 940109893X
Size: 59.44 MB
Format: PDF, ePub
Category : Science
Languages : en
Pages : 428
View: 2280

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Three Dimensional Contact Problems

by A.M. Alexandrov, Three Dimensional Contact Problems Books available in PDF, EPUB, Mobi Format. Download Three Dimensional Contact Problems book, A systematic treatment, based on Green's functions and integral equations, is given to the analytical and numerical methods and results for a great number of 3-D contact problems for elastic bodies. Semi-bounded elastic bodies (layer, cylinder, space with cylindrical or spherical cavity, 3-D wedge, special cases of which are half- and quarter-spaces, cone) and finite elastic bodies (circular plate, finite cylinder, spherical layer, spherical lens, sphere) are considered. Methods introduced in the book can also be applied in fracture mechanics, hydrodynamics, electrostatics, thermodynamics and diffusion theory, continuum mechanics, and mathematical physics, as well as by engineers and students in mathematics, mechanics, and physics.



A Hybrid Elasticity And Finite Element Method For Three Dimensional Contact Problems With Friction

A Hybrid Elasticity and Finite Element Method for Three dimensional Contact Problems with Friction PDF
Author:
Publisher:
ISBN:
Size: 67.34 MB
Format: PDF, ePub, Mobi
Category :
Languages : en
Pages :
View: 2012

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A Hybrid Elasticity And Finite Element Method For Three Dimensional Contact Problems With Friction

by , A Hybrid Elasticity And Finite Element Method For Three Dimensional Contact Problems With Friction Books available in PDF, EPUB, Mobi Format. Download A Hybrid Elasticity And Finite Element Method For Three Dimensional Contact Problems With Friction book, This dissertation presents a new hybrid elasticity and finite element method for general non-conforming contact problems. It is an iterative numerical procedure, which has distinct advantage over classical theory of contact since general geometrical and loading profiles with friction can be treated. And over the traditional contact solution approach in finite element method, it eliminates the use of gap elements and therefore the non-linearity in the solution enhancing accuracy and efficiency of the solution. For the two dimensional problems the equations were derived for a triangular pressure element. While for three-dimensional problems, the analytical solution was derived from Boussinesq and Cerruti equations for conical pressure elements, from which a semi-analytical approach to three-dimensional contact problems with friction was evolved to find the extent of the contact area and the loading distribution over this area together with the extent of the stick and slip zones. The linear static finite element method was then used to find the displacements and stresses throughout the two bodies in contact, which were analyzed separately with the knowledge of the area of contact and the traction over such an area. The method was used for non-conforming bodies but it can be extended to include different kinds of contact problems. The basic theory was presented for both two and three-dimensional non-conforming contact problem, together with algorithm, and numerical examples that showed the accuracy, efficiency and robustness of the method.



Stress Analysis Of Three Dimensional Contact Problems Without Friction Using The Boundary Element Method

Stress Analysis of Three dimensional Contact Problems Without Friction Using the Boundary Element Method PDF
Author: Dominique Segond
Publisher:
ISBN:
Size: 30.76 MB
Format: PDF, ePub, Docs
Category :
Languages : en
Pages : 176
View: 7575

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Stress Analysis Of Three Dimensional Contact Problems Without Friction Using The Boundary Element Method

by Dominique Segond, Stress Analysis Of Three Dimensional Contact Problems Without Friction Using The Boundary Element Method Books available in PDF, EPUB, Mobi Format. Download Stress Analysis Of Three Dimensional Contact Problems Without Friction Using The Boundary Element Method book,



A Lagrange Multiplier Segment Procedure For Solution Of Three Dimensional Contact Problems

A Lagrange Multiplier segment Procedure for Solution of Three dimensional Contact Problems PDF
Author: A. B. Chaudhary
Publisher:
ISBN:
Size: 23.14 MB
Format: PDF, Mobi
Category :
Languages : en
Pages : 76
View: 7224

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A Lagrange Multiplier Segment Procedure For Solution Of Three Dimensional Contact Problems

by A. B. Chaudhary, A Lagrange Multiplier Segment Procedure For Solution Of Three Dimensional Contact Problems Books available in PDF, EPUB, Mobi Format. Download A Lagrange Multiplier Segment Procedure For Solution Of Three Dimensional Contact Problems book,



Method Of Dimensionality Reduction In Contact Mechanics And Friction

Method of Dimensionality Reduction in Contact Mechanics and Friction PDF
Author: Valentin L. Popov
Publisher: Springer
ISBN: 3642538762
Size: 43.71 MB
Format: PDF, Kindle
Category : Technology & Engineering
Languages : en
Pages : 265
View: 2219

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Method Of Dimensionality Reduction In Contact Mechanics And Friction

by Valentin L. Popov, Method Of Dimensionality Reduction In Contact Mechanics And Friction Books available in PDF, EPUB, Mobi Format. Download Method Of Dimensionality Reduction In Contact Mechanics And Friction book, This book describes for the first time a simulation method for the fast calculation of contact properties and friction between rough surfaces in a complete form. In contrast to existing simulation methods, the method of dimensionality reduction (MDR) is based on the exact mapping of various types of three-dimensional contact problems onto contacts of one-dimensional foundations. Within the confines of MDR, not only are three dimensional systems reduced to one-dimensional, but also the resulting degrees of freedom are independent from another. Therefore, MDR results in an enormous reduction of the development time for the numerical implementation of contact problems as well as the direct computation time and can ultimately assume a similar role in tribology as FEM has in structure mechanics or CFD methods, in hydrodynamics. Furthermore, it substantially simplifies analytical calculation and presents a sort of “pocket book edition” of the entirety contact mechanics. Measurements of the rheology of bodies in contact as well as their surface topography and adhesive properties are the inputs of the calculations. In particular, it is possible to capture the entire dynamics of a system – beginning with the macroscopic, dynamic contact calculation all the way down to the influence of roughness – in a single numerical simulation model. Accordingly, MDR allows for the unification of the methods of solving contact problems on different scales. The goals of this book are on the one hand, to prove the applicability and reliability of the method and on the other hand, to explain its extremely simple application to those interested.



Boundary Element Analysis Of Three Dimensional Contact Problems In Cracked Structures

Boundary Element Analysis of Three dimensional Contact Problems in Cracked Structures PDF
Author: Christopher Mark Bainbridge
Publisher:
ISBN:
Size: 60.59 MB
Format: PDF, Docs
Category :
Languages : en
Pages :
View: 3850

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Boundary Element Analysis Of Three Dimensional Contact Problems In Cracked Structures

by Christopher Mark Bainbridge, Boundary Element Analysis Of Three Dimensional Contact Problems In Cracked Structures Books available in PDF, EPUB, Mobi Format. Download Boundary Element Analysis Of Three Dimensional Contact Problems In Cracked Structures book,



Method Of Dimensionality Reduction In Contact Mechanics And Friction

Method of Dimensionality Reduction in Contact Mechanics and Friction PDF
Author: Valentin Popov
Publisher: Springer
ISBN: 9783662442609
Size: 39.57 MB
Format: PDF, ePub, Docs
Category : Technology & Engineering
Languages : en
Pages : 265
View: 2374

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Method Of Dimensionality Reduction In Contact Mechanics And Friction

by Valentin Popov, Method Of Dimensionality Reduction In Contact Mechanics And Friction Books available in PDF, EPUB, Mobi Format. Download Method Of Dimensionality Reduction In Contact Mechanics And Friction book, This book describes for the first time a simulation method for the fast calculation of contact properties and friction between rough surfaces in a complete form. In contrast to existing simulation methods, the method of dimensionality reduction (MDR) is based on the exact mapping of various types of three-dimensional contact problems onto contacts of one-dimensional foundations. Within the confines of MDR, not only are three dimensional systems reduced to one-dimensional, but also the resulting degrees of freedom are independent from another. Therefore, MDR results in an enormous reduction of the development time for the numerical implementation of contact problems as well as the direct computation time and can ultimately assume a similar role in tribology as FEM has in structure mechanics or CFD methods, in hydrodynamics. Furthermore, it substantially simplifies analytical calculation and presents a sort of “pocket book edition” of the entirety contact mechanics. Measurements of the rheology of bodies in contact as well as their surface topography and adhesive properties are the inputs of the calculations. In particular, it is possible to capture the entire dynamics of a system – beginning with the macroscopic, dynamic contact calculation all the way down to the influence of roughness – in a single numerical simulation model. Accordingly, MDR allows for the unification of the methods of solving contact problems on different scales. The goals of this book are on the one hand, to prove the applicability and reliability of the method and on the other hand, to explain its extremely simple application to those interested.