Asymptotic methods constitute an important area of both pure and applied mathematics and have applications to a vast array of problems. This collection of papers is devoted to asymptotic methods applied to mechanical problems, primarily thin structure problems. The first section presents a survey of asymptotic methods and a review of the literature, including the considerable body of Russian works in this area. This part may be used as a reference book or as a textbook for advanced undergraduate or graduate students in mathematics or engineering. The second part presents original papers containing new results. Among the key features of the book are its analysis of the general theory of asymptotic integration with applications to the theory of thin shells and plates, and new results about the local forms of vibrations and buckling of thin shells which have not yet made their way into other monographs on this subject.
The first half is a survey of the asymptotic methods applied to the analysis of thin-wall structures, containing only main results and a bibliography. Properties of the asymptotic expansions, including the asymptotic expansions of solutions with a parameter, the Laplace method and the stationary phase and saddle point methods are also discussed. The second half contains original papers on mechanics in which an asymptotic approach is used. Topics include methods in eddy current testing, and thermo-elastic deformation of mirrors. No index. Annotation c. Book News, Inc., Portland, OR booknews.com
Book Details
Published
February 24, 1994
Publisher
Providence, R.I., USA : American Mathematical Society, c1993.
