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Author: UNITED STATES. DEPARTMENT OF THE ARMY. MATHEMATICS RESEARCH CENTER.
Publisher:
ISBN:
Category :
Languages : en
Pages : 39
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Author: UNITED STATES. DEPARTMENT OF THE ARMY. MATHEMATICS RESEARCH CENTER.
Publisher:
ISBN:
Category :
Languages : en
Pages : 39
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Author: Louis Melville Milne-Thomson
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 41
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Author: Louis M. Milne-Thomson
Publisher: Springer Science & Business Media
ISBN: 3642878709
Category : Mathematics
Languages : en
Pages : 220
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In an epoch-making paper entitled "On an approximate solution for the bending of a beam of rectangular cross-section under any system of load with special reference to points of concentrated or discontinuous loading", received by the Royal Society on June 12, 1902, L. N. G. FlLON introduced the notion of what was subsequently called by LovE "general ized plane stress". In the same paper FlLO~ also gave the fundamental equations which express the displacement (u, v) in terms of the complex variable. The three basic equations of the theory of KoLOsov (1909) which was subsequently developed and improved by MUSKHELISHVILI (1915 and onwards) can be derived directly from Filon's equations. The derivation is indicated by FlLO)!E~KO-BoRODICH. Although FILO)! proceeded at once to the real variable, historically he is the founder of the modern theory of the application of the complex variable to plane elastic problems. The method was developed independently by A. C. STEVEXSOX in a paper received by the Royal Society in 1940 but which was not published, for security reasons, until 1945.
Author: R.M. Latanision
Publisher: Springer Science & Business Media
ISBN: 9400936656
Category : Technology & Engineering
Languages : en
Pages : 726
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For many years it has been recognized that engineering materials that are-tough and ductile can be rendered susceptible to premature fracture through their reaction with the environment. Over 100 years ago, Reynolds associated hydrogen with detrimental effects on the ductility of iron. The "season cracking" of brass has been a known problem for dec ades, but the mechanisms for this stress-corrosion process are only today being elucidated. In more recent times, the mechanical properties of most engineering materials have been shown to be adversely affected by hydrogen embrittlement or stress-corrosion cracking. Early studies of environmental effects on crack growth attempted to identify a unified theory to explain the crack growth behavior of groups of materials in a variety of environments. It is currently understood that there are numerous stress-corrosion processes some of which may be common to several materials, but that the crack growth behavior of a given material is dependent on microstructure, microchemistry, mechanics, surface chemistry, and solution chemistry. Although the mechanism by which various chemical species in the environment may cause cracks to propagate in some materials but not in others is very complex, the net result of all environmentally induced fracture is the reduction in the force and energy associated with the tensile or shear separation of atoms at the crack tip.
Author: Jian-Ke Lu
Publisher:
ISBN: 9789812831347
Category : Mathematics
Languages : en
Pages : 0
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Ch. I. General theory. 1. Basic concepts and formulas -- 2. Stress functions -- 3. The stresses and displacements under transformation of coordinate system -- 4. Complex expressions for certain mechanical quantities -- 5. Boundary conditions of fundamental problems: the case of bounded and simply connected regions -- 6. The case of bounded and multi-connected regions -- 7. The case of unbounded regions -- 8. Modified second fundamental problems under general relative displacements -- ch. II. General methods of solution for fundamental problems. 9. First fundamental problems for bounded and simply connected regions -- 10. First fundamental problems for the infinite plane with a hole -- 11. First fundamental problems for multi-connected regions -- 12. The general method of solution for second fundamental problems -- 13. The method of solution for modified second fundamental problems -- ch. III. Methods of solution for various particular problems. 14. The case of circular region -- 15. The case of infinite plane with a circular hole -- 16. The case of circular ring region -- 17. Applications of conformal mapping -- 18. The case of half-plane -- 19. The case of cyclic symmetry -- 20. The methods of solution for cyclically symmetric problems -- ch. IV. Problems with compound boundary conditions. 21. Mixed boundary problems -- 22. First fundamental problems of welding -- 23. Second fundamental problems of welding -- 24. Welding in the whole plane, some examples -- ch. V. Fundamental crack problems. 25. General expressions of complex stress functions -- 26. First fundamental problems for the infinite plane with cracks -- 27. Second fundamental problems for the infinite plane with cracks -- 28. Collinear or co-circular cracks in the infinite plane -- 29. Crack problems for bounded regions -- 30. Simplification of the method of solution for first fundamental problems -- ch. VI. Fundamental crack problems of composite materials. 31. Fundamental crack problems of composite materials in the infinite plane -- 32. The welding problem for a circular plate with a straight crack -- 33. The welding problem for two half-planes with cracks -- 34. Fundamental crack problems of composite materials for a bounded region
Author: Hai-Tao Cai
Publisher: CRC Press
ISBN: 9789056992422
Category : Mathematics
Languages : en
Pages : 170
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Presenting the mathematical theory of period problems in plane elasticity by methods of complex variables. The most general formulations of such problems are proposed under the assumption that the stresses are periodic and the displacements are quasi-periodic. The general expression of complex displacements are illustrated. Periodic welding problems are studied by reducing them to periodic Riemann boundary value problems. Various periodic problems of the elastic half-plane (fundamental problems, contact problems) are treated and solved by reduction to Riemann-Hilbert boundary value problems with discontinuous coefficient. Periodic crack problems are investigated which are transferred to singular integral equations whose unique solvability is guaranteed.
Author: D. Dowson
Publisher: Elsevier
ISBN: 0080875815
Category : Technology & Engineering
Languages : en
Pages : 511
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Mechanics of Coatings was chosen as the topic for the 16th Leeds-Lyon Symposium, as it was decided to be a timely opportunity to bring together experts of many disciplines connected with coatings to find ways of extending the industrial use of these coatings particularly in the field of tribology. The volume contains 51 papers divided into 20 sessions.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 772
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Author: G. Sih
Publisher: Springer Science & Business Media
ISBN: 9400968213
Category : Science
Languages : en
Pages : 480
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Book Description
The Second International Symposium on Defects, Fracture and Fatigue took place at Mont Gabriel, Quebec, Canada, May 30 to June 5, 1982, and was organized by the Mechanical Engineering Department of McGill University and Institute of Fracture and Solid Mechanics, Lehigh University. The Co-Chairmen of the Sympo sium were Professor G.C. Sih of Lehigh University and Professor J.W. Provan of McGill University. Among those who served on the Organizing Committee were G.C. Sih (Co-Chairman), J.W. Provan (Co-Chairman), H. Mughrabi, H. Zorski, R. Bullough, M. Matczynski, G. Barenblatt and G. Caglioti. As a result of the interest expressed at the First Symposium that was held in October 1980, in Po land, the need for a follow-up meeting to further explore the phenomena of mate rial damage became apparent. Among the areas considered were dislocations, per sistent-slip-bands, void creation, microcracking, microstructure effects, micro/ macro fracture mechanics, ductile fracture criteria, fatigue crack initiation and propagation, stress and failure analysis, deterministic and statistical crack models, and fracture control. This wide spectrum of topics attracted researchers and engineers in solid state physics, continuum mechanics, applied mathematics, metallurgy and fracture mechanics from many different countries. This spectrum is also indicative of the interdisciplinary character of material damage that must be addressed at the atomic, microscopic and macroscopic scale level.
Author:
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 1654
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