Stress analysis of notch problems : stress solutions to a variety of notch geometries used in engineering design
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書誌事項
Stress analysis of notch problems : stress solutions to a variety of notch geometries used in engineering design
（Mechanics of fracture / edited by George C. Sih, v. 5）
Sijthoff & Noordhoff International Publishers, c1978
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Includes bibliographical references and indexes
内容説明・目次
内容説明
The magnification of stresses at geometric stress concentrations is of great importance in engineering design. In particular, problems of frac- ture are all the result of local concentrations of stresses arising from abrupt changes of shape or geometrical discontinuities. Typical exam- ples are notches, grooves, fillets, flaws and cracks. Their shape and degree of sharpness can greatly influence the load bearing capacity of structural members. From the designer's point of view, a fracture analysis will involve two major concerns: (1) a stress analysis of the geometrical disturbance, and (2) a postulate predicting the event of fracture itself. Comprehensive treatments of the elastic stress dis- tributions around a wide variety of geometric cavities are available in the open literature and will not be repeated in this volume. The number of proposed failure criteria is equally exhaustive. However, there is still no coherent treatment of failure for all geometric cavities regardless of their shapes and sizes.
This fifth volume of the series on Mechanics of Fracture attempts to join the behavior of sharp discontinuities such as cracks to that of notches or cavities and to provide a few typical analytical methods of stress solutions. The finite element method has been purposely left out, for it is now becoming common procedure in cases too complex for analysis. One of the major applications for fracture mechanics analyses is an assessment of the influence of defects on the strength of structural components.
目次
- 1 Solutions of notch problems by body force method.- 1.1 Introduction.- 1.2 Principle of the body force method.- 1.3 Influence coefficients and fundamental stress fields.- 1.4 Fundamental stress field in problems of an infinite plate.- 1.5 Fundamental stress field in problems of a semi-infinite plate.- 1.6 Fundamental stress field of the strip problem.- 1.7 Fundamental stress field of the round bar problem.- 1.8 Appendix: Stress concentration factor and stress intensity factor solutions for notches and cracks.- References.- 2 Analysis of notches using conformai mapping.- 2.1 Introduction.- 2.2 Basic preliminaries.- 2.3 Approximating polynomial mapping functions.- 2.4 The MMC plus partitioning plan.- 2.5 Semi-elliptical notch in a semi-infinite sheet.- 2.6 Several notch solutions.- 2.7 Observations.- 2.8 Appendix.- References.- 3 Stress analysis of edge notches.- 3.1 Introduction.- 3.2 General solution of a single edge notch.- 3.3 Solution of set of equations.- 3.4 The symmetrical case.- 3.5 Mapping functions in symmetrical case.- 3.6 The semicircular notch.- 3.7 The circular notch in general.- 3.8 Solution of circular notch in bipolar coordinates.- 3.9 The semi-elliptic notch.- 3.10 The U-type notch.- 3.11 The V-type notch.- 3.12 A single notch in a strip.- 3.13 A pair of symmetrical notches in a strip.- 3.14 A pair of staggered notches in a strip.- 3.15 Multiple edge notches.- References.- 4 Three dimensional notch problems.- 4.1 Introduction.- 4.2 Ellipsoidal inclusions and inhomogeneities.- 4.3 Relations between ? and local coordinates.- 4.4 Expansion of the displacement field.- 4.5 Local stress distribution.- 4.6 Appendix A: Derivatives of f(x, y, z
- ?).- 4.7 Appendix B: Limiting forms of some expressions in terms of local coordinates.- References.- Author's index.
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