The boundary integral equation method in axisymmetric stress analysis problems

A.A. Bakr

[目次]

  • 1 Introduction and Aims.- 1.1 Introduction.- 1.2 Literature Survey - Axisymmetric Problems.- 1.3 Layout of Notes.- 2 Axisymmetric Potential Problems.- 2.1 Introduction.- 2.2 Analytical Formulation.- 2.2.1 The axisymmetric fundamental solution.- 2.2.2 The boundary integral identity.- 2.2.3 The axisymmetric potential kernels.- 2.2.4 Treatment of the axis of rotational symmetry.- 2.3 Numerical Implementation.- 2.3.1 Isoparametric quadratic elements.- 2.3.2 Numerical integration of the kernels.- 2.3.3 Calculation of the elliptic integrals.- 2.3.4 Solutions at internal points.- 2.3.5 Treatment of non-homogeneous problems.- 2.4 Examples.- 2.4.1 Hollow cylinder.- 2.4.2 Hollow sphere.- 2.4.3 Effect of element curvature.- 2.4.4 Compound sphere.- 2.4.5 Reactor pressure vessel.- 2.4.6 Externally grooved hollow cylinder.- 3 Axisymmetric Elasticity Problems: Formulation.- 3.1 Introduction.- 3.2 Analytical Formulation.- 3.2.1 Basic equations of elasticity.- 3.2.2 Solution of the Navier equations.- 3.2.3 The boundary integral identity.- 3.2.4 Treatment of the axis of rotational symmetry.- 3.2.5 Treatment of non-homogeneous problems.- 3.3 Numerical Implementation.- 3.3.1 Isoparametric quadratic elements.- 3.3.2 Numerical integration of the kernels.- 3.3.3 Surface stresses.- 3.3.4 Solutions at internal points.- 4 Axisymmetric Elasticity Problems: Examples.- 4.1 Introduction.- 4.2 Hollow Cylinder.- 4.3 Hollow Sphere.- 4.4 Thin Sections.- 4.5 Compound Sphere.- 4.6 Spherical Cavity in a Solid Cylinder.- 4.7 Notched Bars.- 4.8 Pressure Vessel with Hemispherical End Closure.- 4.9 Pressure Vessel Clamp.- 4.10 Compression of Rubber Blocks.- 4.11 Externally Grooved Hollow Cylinder.- 4.12 Plain Reducing Socket.- 5 Axisymmetric Thermoelasticity Problems.- 5.1 Introduction.- 5.2 Analytical Formulation.- 5.3 Numerical Implementation.- 5.3.1 Isoparametric quadratic elements.- 5.3.2 Numerical integration of the kernels.- 5.3.3 Solutions at internal points.- 5.4 Examples.- 5.4.1 Hollow cylinder.- 5.4.2 Hollow sphere.- 5.4.3 Compound sphere.- 5.4.4 Comparison with other numerical methods.- 5.4.5 Reactor pressure vessel.- 5.4.6 Externally grooved hollow cylinder.- 6 Axisymmetric Centrifugal Loading Problems.- 6.1 Introduction.- 6.2 Analytical Formulation.- 6.3 Numerical Implementation.- 6.3.1 Isoparametric quadratic elements.- 6.3.2 Numerical integration of the kernels.- 6.4 Examples.- 6.4.1 Rotating disk of uniform thickness.- 6.4.2 Rotating tapered disk.- 6.4.3 Rotating disk of variable thickness.- 7 Axisymmetric Fracture Mechanics Problems.- 7.1 Introduction.- 7.2 Linear Elastic Fracture Mechanics.- 7.3 Numerical Calculation of the Stress Intensity Factor.- 7.3.1 The displacement method.- 7.3.2 The stress method.- 7.3.3 Energy methods.- 7.4 Singularity Elements.- 7.5 Examples.- 7.5.1 Circumferential crack in a round bar.- 7.5.2 Penny-shaped crack in a round bar.- 7.5.3 Internal circumferential crack in a hollow cylinder.- 7.5.4 Flat toroidal crack in a hollow cylinder.- 7.5.5 Pressurised penny-shaped crack in a solid sphere.- 7.5.6 Circumferential cracks in grooved round bars.- 7.5.7 Modelling both faces of the crack.- 8 Conclusions.- References.- Appendix B Numerical Coefficients for the Evaluation of the Elliptical Integrals.- Appendix C Notation for Axisymmetric Vector and Scalar Differentiation.- Appendix D Components of the Traction Kernels.- Appendix E Derivation of the Axisymmetric Displacement Kernels from the Three-Dimensional Fundamental Solution.- Appendix G Differentials of the Displacement and Traction Kernels.- Appendix H The Thermoelastic Kernels.- Appendix I Differentials of the Thermoelastic Kernels.

「Nielsen BookData」より

この本の情報

書名 The boundary integral equation method in axisymmetric stress analysis problems
著作者等 Bakr, A. A.
Bakr Adib A.
Bakr A A
シリーズ名 Lecture notes in engineering
出版元 Springer-Verlag
刊行年月 c1986
版表示 Softcover reprint of the original 1st ed. 1986
ページ数 xi, 213 p.
大きさ 25 cm
ISBN 3540160302
0387160302
NCID BA01066369
※クリックでCiNii Booksを表示
言語 英語
出版国 ドイツ
この本を: 
このエントリーをはてなブックマークに追加

Yahoo!ブックマークに登録
この記事をクリップ!
Clip to Evernote
このページを印刷

外部サイトで検索

この本と繋がる本を検索

ウィキペディアから連想