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Three Dimensional Contact Problems


Three Dimensional Contact Problems
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Three Dimensional Contact Problems


Three Dimensional Contact Problems
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Author : A M Alexandrov
language : en
Publisher:
Release Date : 2001-11-30

Three Dimensional Contact Problems written by A M Alexandrov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-30 with categories.




Three Dimensional Contact Problems


Three Dimensional Contact Problems
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Author : A.M. Alexandrov
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-08-31

Three Dimensional Contact Problems written by A.M. Alexandrov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-08-31 with Science categories.


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.



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
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Author : Dominique Segond
language : en
Publisher:
Release Date : 1996

Stress Analysis Of Three Dimensional Contact Problems Without Friction Using The Boundary Element Method written by Dominique Segond and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.




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
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Author :
language : en
Publisher:
Release Date : 2003

A Hybrid Elasticity And Finite Element Method For Three Dimensional Contact Problems With Friction written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.


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.



Applications Of Higher Special Functions To Some Three Dimensional Contact Problems In The Classical Theory Of Elasticity


Applications Of Higher Special Functions To Some Three Dimensional Contact Problems In The Classical Theory Of Elasticity
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Author : Abdollah Darai
language : en
Publisher:
Release Date : 2014

Applications Of Higher Special Functions To Some Three Dimensional Contact Problems In The Classical Theory Of Elasticity written by Abdollah Darai and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.




Method Of Dimensionality Reduction In Contact Mechanics And Friction


Method Of Dimensionality Reduction In Contact Mechanics And Friction
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Author : Valentin L. Popov
language : en
Publisher: Springer
Release Date : 2014-08-19

Method Of Dimensionality Reduction In Contact Mechanics And Friction written by Valentin L. Popov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-19 with Science categories.


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.



Three Dimensional Contact Problems


Three Dimensional Contact Problems
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Author : A.M. Alexandrov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Three Dimensional Contact Problems written by A.M. Alexandrov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


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 Lagrange Multiplier Segment Procedure For Solution Of Three Dimensional Contact Problems


A Lagrange Multiplier Segment Procedure For Solution Of Three Dimensional Contact Problems
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Author : A. B. Chaudhary
language : en
Publisher:
Release Date : 1985

A Lagrange Multiplier Segment Procedure For Solution Of Three Dimensional Contact Problems written by A. B. Chaudhary and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.




Boundary Element Analysis Of Three Dimensional Contact Problems In Cracked Structures


Boundary Element Analysis Of Three Dimensional Contact Problems In Cracked Structures
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Author : Christopher Mark Bainbridge
language : en
Publisher:
Release Date : 1998

Boundary Element Analysis Of Three Dimensional Contact Problems In Cracked Structures written by Christopher Mark Bainbridge and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.




A Solution Method For Two And Three Dimensional Contact Problems


A Solution Method For Two And Three Dimensional Contact Problems
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Author : Anil Bhaskar Chaudhary
language : en
Publisher:
Release Date : 1985

A Solution Method For Two And Three Dimensional Contact Problems written by Anil Bhaskar Chaudhary and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.