A Survey Of The Literature On The Size Effect On Material Strength

Nearly 500 years ago, Leonardo da Vinci observed that long wires are weaker than short wires of the same diameter. The statistical theory of extreme values (weakest-link theory) plays a very important role in studies of the size effect; competing theories include the energy theory and the technological theory. Summaries are given of relevant publications identified in the course of a literature survey on the size effect. Since this survey was motivated by concern about the reliability of large composite aircraft structures, which are now coming into use, special attention is given to the size effect on composite materials and structures. An attempt is made to summarize the present state of knowledge and to identify unsolved problems requiring further research.

This multiauthor volume provides a useful summary of current knowledge on the application of fracture mechanics to composite materials. It has been written to fill the gap between the literature on fundamental principles of fracture mechanics and the special publications on the fracture properties of conventional materials, such as metals, polymers and ceramics. The data are represented in the form of about 420 figures (including diagrams, schematics and photographs) and 80 tables. The author index covers more than 500 references, and the subject index more than 1000 key words.

The IUTAM Symposium on Probabilistic Methods in the Mechanics of Solids and Structures, dedicated to the memory of Waloddi Weibull, was held in Stockholm, Sweden, June 19-21, 1984, on the initiative of the Swedish National Committee for Mech anics and the Aeronautical Research Institute of Sweden, FFA. The purpose of the symposium was to bring together mathema ticians that develop the theory of stochastic processes and methods for reliability analysis, with engineers that apply these theories and methods to model loads, strengths and structures for the advancement of structural safety. Waloddi Weibull was a pioneer in this field with his many publi cations from the thirties until his death in 1979. He also took an active part in the formation of the International Union of Theoretical and Applied Mechanics during the forties, and subsequently initiated foundation of the Swedish National Committee for Mechanics, through which Sweden joined IUTAM as a member. 116 participants from 21 countries attended the symposium, and 55 invited papers were presented in 7 scientific sessions.

The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. ". . . a goldmine of knowledge on accelerated life testing principles and practices . . . one of the very few capable of advancing the science of reliability. It definitely belongs in every bookshelf on engineering." –Dev G. Raheja, Quality and Reliability Engineering International ". . . an impressive book. The width and number of topics covered, the practical data sets included, the obvious knowledge and understanding of the author and the extent of published materials reviewed combine to ensure that this will be a book used frequently." –Journal of the Royal Statistical Society A benchmark text in the field, Accelerated Testing: Statistical Models, Test Plans, and Data Analysis offers engineers, scientists, and statisticians a reliable resource on the effective use of accelerated life testing to measure and improve product reliability. From simple data plots to advanced computer programs, the text features a wealth of practical applications and a clear, readable style that makes even complicated physical and statistical concepts uniquely accessible. A detailed index adds to its value as a reference source.

Clemens Pirker addresses the frequent doubt among researchers on how to deal with extreme and outlying observations in data analysis. He draws on various scientific domains to explore possible handling alternatives and the relevance of the phenomenon. The dissertation concludes that authors may leverage their insights from given data by reporting those cases and their influence on the results.

Classical Extreme Value Theory-the asymptotic distributional theory for maxima of independent, identically distributed random variables-may be regarded as roughly half a century old, even though its roots reach further back into mathematical antiquity. During this period of time it has found significant application-exemplified best perhaps by the book Statistics of Extremes by E. J. Gumbel-as well as a rather complete theoretical development. More recently, beginning with the work of G. S. Watson, S. M. Berman, R. M. Loynes, and H. Cramer, there has been a developing interest in the extension of the theory to include, first, dependent sequences and then continuous parameter stationary processes. The early activity proceeded in two directions-the extension of general theory to certain dependent sequences (e.g., Watson and Loynes), and the beginning of a detailed theory for stationary sequences (Berman) and continuous parameter processes (Cramer) in the normal case. In recent years both lines of development have been actively pursued.