The Boundary Integral Equation Method in Axisymmetric Stress Analysis Problems (Lecture Notes in Engineering, 14, Band 14) - Softcover

Bakr, A. A.

 
9783540160304: The Boundary Integral Equation Method in Axisymmetric Stress Analysis Problems (Lecture Notes in Engineering, 14, Band 14)
Softcover
ISBN 10: 3540160302 ISBN 13: 9783540160304
Verlag: Springer-Verlag, 1986

Inhaltsangabe

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. Emphasis is placed on using isoparametric quadratic elements which exhibit excellent modelling capabilities. Efficient numerical integration schemes are also presented in detail. Unlike the Finite Element Method (FEM), the BIE adaptation to axisymmetric problems is not a straightforward modification of the two­ or three-dimensional formulations. Two approaches can be used; either a purely axisymmetric approach based on assuming a ring of load, or, alternatively, integrating the three-dimensional fundamental solution of a point load around the axis of rotational symmetry. Throughout this ~ook, both approaches are used and are shown to arrive at identi­ cal solutions. The book starts with axisymmetric potential problems and extends the formulation to elasticity, thermoelasticity, centrifugal and fracture mechanics problems. The accuracy of the formulation is demonstrated by solving several practical engineering problems and comparing the BIE solution to analytical or other numerical methods such as the FEM. This book provides a foundation for further research into axisymmetric prob­ lems, such as elastoplasticity, contact, time-dependent and creep prob­ lems.

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Verlag
Springer-Verlag
Erscheinungsdatum
1986
Sprache
Englisch
ISBN 10 
3540160302
ISBN 13 
9783540160304
Einband
Taschenbuch
Anzahl der Seiten
232
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9780387160306: The Boundary Integral Equation Method in Axisymmetric Stress Analysis Problems (Lecture Notes in Engineering)

Vorgestellte Ausgabe

ISBN 10:  0387160302 ISBN 13:  9780387160306
Softcover