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Elastic Contact Analysis by Boundary Elements

Author: Susumu Takahashi

Publisher: Springer Science & Business Media

Published: 2013-03-08

Total Pages: 227

ISBN-13: 3642845029

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This book presents a new formulation of the boundary element method for two-dimensional and axisymmetric contact problems. The solution procedure includes the effects of non-frictional as well as frictional contact between elastic bodies. Following a literature survey of various experimental and analytical approaches for solving elastic contact problems, a comprehensive review of numerical techniques used for analyses of contact problems is presented. The boundary element formulations for two-, three-dimensional and axisymmetric problems in elasticity are derived and numerical implementation using constant and linear elements is described. For analysis of contact problems, boundary elements are employed to compute flexibility matrices representing the relationship between tractions and displacements only at nodes coming into contact. The contact analysis is performed using the flexibility matrices in conjunction with contact boundary conditions. In this approach, only equations corresponding to the node coming into contact are required and consequently very efficient computation is achieved. Furthermore, the boundary element analysis and the contact analysis are performed separately, which makes it easy to implement the contact analysis procedure into boundary element codes. A new contact criterion for nodes coming into contact is proposed. Load incremental and iterative schemes are used to obtain accurate solutions. Some classical Hertz and non-Hertz contact problems are studied and results are found to be in good agreement with analytical and other numerical solutions.

Book Synopsis Elastic Contact Analysis by Boundary Elements by : Susumu Takahashi

Download or read book Elastic Contact Analysis by Boundary Elements written by Susumu Takahashi and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new formulation of the boundary element method for two-dimensional and axisymmetric contact problems. The solution procedure includes the effects of non-frictional as well as frictional contact between elastic bodies. Following a literature survey of various experimental and analytical approaches for solving elastic contact problems, a comprehensive review of numerical techniques used for analyses of contact problems is presented. The boundary element formulations for two-, three-dimensional and axisymmetric problems in elasticity are derived and numerical implementation using constant and linear elements is described. For analysis of contact problems, boundary elements are employed to compute flexibility matrices representing the relationship between tractions and displacements only at nodes coming into contact. The contact analysis is performed using the flexibility matrices in conjunction with contact boundary conditions. In this approach, only equations corresponding to the node coming into contact are required and consequently very efficient computation is achieved. Furthermore, the boundary element analysis and the contact analysis are performed separately, which makes it easy to implement the contact analysis procedure into boundary element codes. A new contact criterion for nodes coming into contact is proposed. Load incremental and iterative schemes are used to obtain accurate solutions. Some classical Hertz and non-Hertz contact problems are studied and results are found to be in good agreement with analytical and other numerical solutions.

Elastic and Elastoplastic Contact Analysis

Author: A. Faraji

Publisher: WIT Press (UK)

Published: 2005

Total Pages: 152

ISBN-13:

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Presents a general elastic and elastoplastic analysis method for the treatment of two- and three-dimensional contact problems between two deformable bodies undergoing small displacements with and without friction. The author's approach uses the Boundary Element Method (BEM) and Mathematical Programming (MP).

Book Synopsis Elastic and Elastoplastic Contact Analysis by : A. Faraji

Download or read book Elastic and Elastoplastic Contact Analysis written by A. Faraji and published by WIT Press (UK). This book was released on 2005 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a general elastic and elastoplastic analysis method for the treatment of two- and three-dimensional contact problems between two deformable bodies undergoing small displacements with and without friction. The author's approach uses the Boundary Element Method (BEM) and Mathematical Programming (MP).

Contact Mechanics Using Boundary Elements

Author: K. W. Man

Publisher:

Published: 1994

Total Pages: 216

ISBN-13:

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Book Synopsis Contact Mechanics Using Boundary Elements by : K. W. Man

Download or read book Contact Mechanics Using Boundary Elements written by K. W. Man and published by . This book was released on 1994 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stress Analysis of Elastic Contact Problems by the Boundary Element Method

Author: S. Takahashi

Publisher:

Published: 1989

Total Pages: 0

ISBN-13:

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Book Synopsis Stress Analysis of Elastic Contact Problems by the Boundary Element Method by : S. Takahashi

Download or read book Stress Analysis of Elastic Contact Problems by the Boundary Element Method written by S. Takahashi and published by . This book was released on 1989 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lecture Notes in Engineering

Author: Ghodratollah Karami

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 256

ISBN-13: 3642838979

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The Boundary Element Method (BEM) has been established as a powerful numerical tool for the analysis of continua in recent years. The method is based on an attempt to transfer the governing differential equations into integral equations over the boundary. Thus, the discretization scheme or the intro duction of any approximations must be done over the boundary. This book presents a BEM for two-dimensional elastic, thermo -elastic and body-force contact problems. The formulation is implemented for the general case of contact with various fric tional conditions. The analysis is limited to linear elasto statics and small strain theory. Following a review of the basic nature of contact problems, the analytical basis of the direct formulation of the BEM method is described. The numerical implementation employs three-noded isoparametric line elements for the representa tion of the boundary of the bodies in contact. Opposite nodal points in equi-Iength element-pairs are defined on the two surfaces in the area which is expected to come into contact under an increasing load. The use of appropriate contact IV conditions enables the integral equations for the two bodies to be coupled together. To find the proper contact dimensions and the contact load a combined incremental and iterative approach is utilised. With this approach, the loads are applied progressively, and the sliding and adhering portion of the contact region is established for each load increment using an iterative procedure. A coulomb type of friction law is assumed.

Book Synopsis Lecture Notes in Engineering by : Ghodratollah Karami

Download or read book Lecture Notes in Engineering written by Ghodratollah Karami and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Boundary Element Method (BEM) has been established as a powerful numerical tool for the analysis of continua in recent years. The method is based on an attempt to transfer the governing differential equations into integral equations over the boundary. Thus, the discretization scheme or the intro duction of any approximations must be done over the boundary. This book presents a BEM for two-dimensional elastic, thermo -elastic and body-force contact problems. The formulation is implemented for the general case of contact with various fric tional conditions. The analysis is limited to linear elasto statics and small strain theory. Following a review of the basic nature of contact problems, the analytical basis of the direct formulation of the BEM method is described. The numerical implementation employs three-noded isoparametric line elements for the representa tion of the boundary of the bodies in contact. Opposite nodal points in equi-Iength element-pairs are defined on the two surfaces in the area which is expected to come into contact under an increasing load. The use of appropriate contact IV conditions enables the integral equations for the two bodies to be coupled together. To find the proper contact dimensions and the contact load a combined incremental and iterative approach is utilised. With this approach, the loads are applied progressively, and the sliding and adhering portion of the contact region is established for each load increment using an iterative procedure. A coulomb type of friction law is assumed.

Spatial Contact Problems in Geotechnics

Author: Sergey Aleynikov

Publisher: Springer Science & Business Media

Published: 2010-11-10

Total Pages: 655

ISBN-13: 3540447768

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This book presents a systematic approach to numerical solution for a wide range of spatial contact problems of geotechnics. On the basis of the boundary element method new techniques and effective computing algorithms are considered. Special attention is given to the formulation and analysis of the spatial contact models for elastic bases. Besides the classical schemes of contact deformation, new contact models are discussed for spatially nonhomogeneous and nonlinearly elastic media properly describing soil properties.

Book Synopsis Spatial Contact Problems in Geotechnics by : Sergey Aleynikov

Download or read book Spatial Contact Problems in Geotechnics written by Sergey Aleynikov and published by Springer Science & Business Media. This book was released on 2010-11-10 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic approach to numerical solution for a wide range of spatial contact problems of geotechnics. On the basis of the boundary element method new techniques and effective computing algorithms are considered. Special attention is given to the formulation and analysis of the spatial contact models for elastic bases. Besides the classical schemes of contact deformation, new contact models are discussed for spatially nonhomogeneous and nonlinearly elastic media properly describing soil properties.

A Boundary Element Method for Two-dimensional Contact Problems

Author: Ghodratollah Karami

Publisher:

Published: 1989

Total Pages: 264

ISBN-13:

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Book Synopsis A Boundary Element Method for Two-dimensional Contact Problems by : Ghodratollah Karami

Download or read book A Boundary Element Method for Two-dimensional Contact Problems written by Ghodratollah Karami and published by . This book was released on 1989 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stress Analysis by Boundary Element Methods

Author: J. Balaš

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 699

ISBN-13: 148329174X

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The boundary element method is an extremely versatile and powerful tool of computational mechanics which has already become a popular alternative to the well established finite element method. This book presents a comprehensive and up-to-date treatise on the boundary element method (BEM) in its applications to various fields of continuum mechanics such as: elastostatics, elastodynamics, thermoelasticity, micropolar elasticity, elastoplasticity, viscoelasticity, theory of plates and stress analysis by hybrid methods. The fundamental solution of governing differential equations, integral representations of the displacement and temperature fields, regularized integral representations of the stress field and heat flux, boundary integral equations and boundary integro-differential equations are derived. Besides the mathematical foundations of the boundary integral method, the book deals with practical applications of this method. Most of the applications concentrate mainly on the computational problems of fracture mechanics. The method has been found to be very efficient in stress-intensity factor computations. Also included are developments made by the authors in the boundary integral formulation of thermoelasticity, micropolar elasticity, viscoelasticity, plate theory, hybrid method in elasticity and solution of crack problems. The solution of boundary-value problems of thermoelasticity and micropolar thermoelasticity is formulated for the first time as the solution of pure boundary problems. A new unified formulation of general crack problems is presented by integro-differential equations.

Book Synopsis Stress Analysis by Boundary Element Methods by : J. Balaš

Download or read book Stress Analysis by Boundary Element Methods written by J. Balaš and published by Elsevier. This book was released on 2013-10-22 with total page 699 pages. Available in PDF, EPUB and Kindle. Book excerpt: The boundary element method is an extremely versatile and powerful tool of computational mechanics which has already become a popular alternative to the well established finite element method. This book presents a comprehensive and up-to-date treatise on the boundary element method (BEM) in its applications to various fields of continuum mechanics such as: elastostatics, elastodynamics, thermoelasticity, micropolar elasticity, elastoplasticity, viscoelasticity, theory of plates and stress analysis by hybrid methods. The fundamental solution of governing differential equations, integral representations of the displacement and temperature fields, regularized integral representations of the stress field and heat flux, boundary integral equations and boundary integro-differential equations are derived. Besides the mathematical foundations of the boundary integral method, the book deals with practical applications of this method. Most of the applications concentrate mainly on the computational problems of fracture mechanics. The method has been found to be very efficient in stress-intensity factor computations. Also included are developments made by the authors in the boundary integral formulation of thermoelasticity, micropolar elasticity, viscoelasticity, plate theory, hybrid method in elasticity and solution of crack problems. The solution of boundary-value problems of thermoelasticity and micropolar thermoelasticity is formulated for the first time as the solution of pure boundary problems. A new unified formulation of general crack problems is presented by integro-differential equations.

Advances in Boundary Elements

Author: C. A. Brebbia

Publisher:

Published: 1989

Total Pages: 472

ISBN-13: 9781853120268

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Book Synopsis Advances in Boundary Elements by : C. A. Brebbia

Download or read book Advances in Boundary Elements written by C. A. Brebbia and published by . This book was released on 1989 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Three-dimensional Elastic and Elastoplastic Frictional Contact Problems Analysis Using the Boundary Element Method & Mathematical Programming

Author: Ali Faraji

Publisher:

Published: 2003

Total Pages: 372

ISBN-13:

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Book Synopsis Three-dimensional Elastic and Elastoplastic Frictional Contact Problems Analysis Using the Boundary Element Method & Mathematical Programming by : Ali Faraji

Download or read book Three-dimensional Elastic and Elastoplastic Frictional Contact Problems Analysis Using the Boundary Element Method & Mathematical Programming written by Ali Faraji and published by . This book was released on 2003 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: