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Saturday, July 25, 2020 | History

1 edition of The Boundary Integral Equation Method in Axisymmetric Stress Analysis Problems found in the catalog.

The Boundary Integral Equation Method in Axisymmetric Stress Analysis Problems

by A. A. Bakr

  • 223 Want to read
  • 20 Currently reading

Published by Springer Berlin Heidelberg in Berlin, Heidelberg .
Written in English

    Subjects:
  • Mechanics,
  • Engineering,
  • Physics

  • Edition Notes

    Statementby A.A. Bakr
    SeriesLecture Notes in Engineering -- 14, Lecture notes in engineering -- 14.
    Classifications
    LC ClassificationsQC120-168.85, QA808.2
    The Physical Object
    Format[electronic resource] /
    Pagination1 online resource (xi, 213 pages).
    Number of Pages213
    ID Numbers
    Open LibraryOL27022028M
    ISBN 103540160302, 364282644X
    ISBN 109783540160304, 9783642826443
    OCLC/WorldCa851372742

    On the Solution of Some Axisymmetric Boundary Value Problems by Means of Integral Equations III. Some Electrostatic and Hydrodynamic Problems for Two Spherical CapsCited by: @article{osti_, title = {Analysis of three-dimensional inhomogeneous composite bodies using the boundary integral method}, author = {Murray, C.E. and Sipcic, S.}, abstractNote = {A formulation of the Boundary Integral Method was developed for the elastostatic analysis of composite inhomogeneous bodies, those in which the material properties vary as a function of .

    Axisymmetric Stress Analysis of Internally Pressurized Rotating Cylinder using Finite Element Method A Project Report Submitted in partial fulfillment for the award of the degree Of . numerical problems. The boundary element method formulation used to illustrated and tested by applying the in nite axisymmetric cylindrical duct in a subsonic uniform ow. Keywords: Convected Helmholtz equation, modal Green’s function, axisymmetric boundary element method, singular integrals, axisymmetric duct. 1. IntroductionCited by: 2.

    The problem is adapted from case study E on page of the textbook Practical Stress Analysis with Finite Elements (2nd Ed) by Bryan J. Mac Donald. You will determine the principal stresses in the pressure vessel due to the applied loading and boundary conditions. An axisymmetric solid element will be used for this analysis. During the last few decades, the boundary element method, also known as the boundary integral equation method or boundary integral method, has gradually evolved to become one of the few widely used numerical techniques for solving boundary value problems in engineering and physical sciences. In implementing the method, only the boundary of the.


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The Boundary Integral Equation Method in Axisymmetric Stress Analysis Problems by A. A. Bakr Download PDF EPUB FB2

The Boundary Integral Equation (BIE) or the Boundary Element Method is now well established as an efficient and accurate numerical technique for engineering problems. This book presents the application of this technique to axisymmetric engineering problems, where the geometry and applied loads are symmetrical about an axis of rotation.

Get this from a library. The Boundary Integral Equation Method in Axisymmetric Stress Analysis Problems. [A A Bakr] -- The Boundary Integral Equation (BIE) or the Boundary Element Method is now well established as an efficient and accurate numerical technique for engineering problems.

This book presents the. The boundary integral equation method in axisymmetric stress analysis problems. [A A Bakr] The Boundary Integral Equation (BIE) or the Boundary Element Method is now well established as an efficient and accurate numerical technique for engineering problems.

Bakr A.A. () Axisymmetric Potential Problems. In: The Boundary Integral Equation Method in Axisymmetric Stress Analysis Problems. Lecture Notes in Engineering, vol Cited by: The Boundary Integral Equation Method in Axisymmetric Stress Analysis Problems. by A.A. Bakr. No Customer Reviews.

Gordon & Breach, New York (). [II] F. RIZZO and D. SHIPPY, A boundary element method for axisymmetric elastic bodies. In Developments in Boundary Element Methods-4 (Edited by Banerjee and Watson). Eisevier, Amsterdam (). [12] A. BAKR, The boundary integral equation method for axisymmetric stress analysis by: 9.

A numerical method for the solution of axisymmetric contact problems has been developed using the Boundary Integral Equation (BIE) technique. An autom Cited by: The boundary integral equation for the axisymmetric Laplace equation is solved by employing modified Galerkin weight functions.

The alternative weights smooth out the singularity of. Figure stress components in plane axisymmetric problems Plane Stress and Plane Strain Two cases arise with plane axisymmetric problems: in the plane stress problem, the feature is very thin and unloaded on its larger free-surfaces, for example a thin disk under external pressure, as shown in Fig.

File Size: KB. In this work we utilize the boundary integral equation and the Dual Reciprocity Boundary Element Method (DRBEM) for the solution of the steady state convection-diffusion-reaction equations with.

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 : J., V.

An Axisymmetric Boundary Integral Model for Assessing Elastic Cell Properties in the Micropipette Aspiration Contact Problem The Boundary Integral Equation Method in Axisymmetric Stress Analysis Problems, Springer-Verlag.

Stroud, A. H., and Secrest, D., Cited by: N. Nishimura and S. Kobayashi, A boundary integral equation method for consolidation problems, International Journal of Solids and Structures, 25, 1, (1), (). Crossref G.F. Dargush and P.K.

Banerjee, Development of a boundary element method for time-dependent planar thermoelasticity, International Journal of Solids and Structures, 25, 9. In this paper the two‐dimensional boundary integral equation method (BIEM) is extended to problems of axisymmetric flow governed by Laplace's equation.

An ‘axisymmetric’ Green's function is defined which leads to a calculation procedure that Cited by: The dual BEM is an elegant approach for the analysis of crack problems [9, 10].

Its application to axisymmetric problems requires a stress (hypersingular) boundary integral equation together with the displacement (standard) boundary integral equation, one applied to each side of the crack.

Axisymmetric describes the rotational symmetry referring to an object being symmetrical and cylindrical on an axis. For example, a cone. The indirect boundary element method for the axisymmetric free surface Stokes flow M. Ponomareva & V. Yakutenok National Research Tomsk State University, Russia Abstract The authors present the formulation of the indirect boundary element method (IBEM) for an axisymmetric Stokes flow with a free surface in the presence of gravity.

Chapter 9 – Axisymmetric Elements Learning Objectives • To review the basic concepts and theory of elasticity equations for axisymmetric behavior. • To derive the axisymmetric element stiffness matrix, body force, and surface traction equations.

• To demonstrate the solution of an axisymmetric pressure vessel using the stiffness Size: 1MB. An Axisymmetric Boundary Integral Model for Incompressible Linear Viscoelasticity: Application to the Micropipette Aspiration Contact Problem The Boundary Integral Equation Method in Axisymmetric Stress Analysis Problems, Springer-Verlag.

Stroud, A. H., and Secrest, D., Cited by: 3 Concepts of Stress Analysis Modern structural analysis relies extensively on the finite element method.

The most popular integral Basically, it states that the displacement field that satisfies the essential displacement boundary conditions and minimizes the total potential energy is the one that corresponds to the state of static.

Axisymmetric Finite Element Modeling for the Design and Analysis of Cylindrical Adhesive Joints based on Dimensional Stability by Paul E.

Lyon, Master of Science Utah State University, Major Professor: Dr. Thomas H. Fronk Department: Mechanical and Aerospace EngineeringCited by: 5.integral boundary equation. 1 Introduction an approximate method for the axisymmetric thermal stress analysis under steady state is shown.

Using this method, the solution of high accuracy can Generally, the polyharmonic function T f in axisymmetric problems is given by" sn ^ (16).Going far beyond the standard texts, this book extensively covers boundary integral equation (BIE) formulations and the boundary element method (BEM).

The first section introduces BIE formulations for potential and elasticity problems, following the modern regularization approach- the fundamental starting point for research in this field.