Modern Trends in Structural and Solid Mechanics 1

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This book – comprised of three separate volumes – presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. <p>This first volume is devoted to the statics and stability of solid and structural members. Modern Trends in Structural and Solid Mechanics 1 has broad scope, covering topics such as: buckling of discrete systems (elastic chains, lattices with short and long range interactions, and discrete arches), buckling of continuous structural elements including beams, arches and plates, static investigation of composite plates, exact solutions of plate problems, elastic and inelastic buckling, dynamic buckling under impulsive loading, buckling and post-buckling investigations, buckling of conservative and non-conservative systems and buckling of micro and macro-systems.</p> <p>This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.</p>

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– “This is a beautiful book …” (Dr. Stephen H. Crandall, Ford Professor of Engineering, M.I.T.).

– “Das Buch ist in seiner Aufmachunghervorragendgestaltet und kannalsäusserstwertvolleErganzung … wäzmstensempfohlenwerden …” [The book’s appearance is perfectly designed and can be highly recommended as a valuable addition.] (Prof. Horst Försching, Institute of Aeroelasticity, Federal Republic of Germany, Zeitschrift für Flugwissenschaften und Weltraumforschung).

– “Because of you, Notre Dame is an even better place, a more distinguished University” (Prof. Rev. Theodore M. Hesburgh, President, University of Notre Dame).

– “It is an impressive volume …” (Prof. Warner T. Koiter, Delft University of Technology, The Netherlands).

– “This extremely well-written text, authored by one of the leaders in the field, incorporates many of these new applications … Professor Elishakoff’s techniques for developing the material are accomplished in a way that illustrates his deep insight into the topic as well as his expertise as an educator … Clearly, the second half of the text provides the basis for an excellent graduate course in random vibrations and buckling … Professor Elishakoff has presented us with an outstanding instrument for teaching” (Prof. Frank Kozin, Polytechnic Institute of New York, American Institute of Aeronautics and Astronautics Journal).

– “By far the best book on the market today …” (Prof. Niels C. Lind, University of Waterloo, Canada).

– “The book develops a novel idea … Elegant, exhaustive discussion … The study can be an inspiration for further research, and provides excellent applications in design …” (Prof. G. A. Nariboli, Applied Mechanics Reviews).

– “This volume is regarded as an advanced encyclopedia on random vibration and serves aeronautical, civil and mechanical engineers …” (Prof. Rauf Ibrahim, Wayne State University, Shock and Vibration Digest).

– “The book deals with a fundamental problem in Applied Mechanics and in Engineering Sciences: How the uncertainties of the data of a problem influence its solution. The authors follow a novel approach for the treatment of these problems … The book is written with clarity and contains original and important results for the engineering sciences …” (Prof. P. D. Panagiotopoulos, University of Thessaloniki, Greece and University of Aachen, Germany, SIAM Review).

– “The content should be of great interest to all engineers involved with vibration problems, placing the book well and truly in the category of an essential reference book …” (Prof. I. Pole, Journal of the British Society for Strain Measurement).

– “A good book; a different book … It is hoped that the success of this book will encourage the author to provide a sequel in due course …” (Prof. John D. Robson, University of Glasgow, Scotland, UK, Journal of Sound and Vibration).

– “The book certainly satisfies the need that now exists for a readable textbook and reference book …” (Prof. Masanobu Shinozuka, Columbia University).

– “[the] author ties together reliability, random vibration and random buckling … Well written … useful book …” (Dr. H. Saunders, Shock and Vibration Digest).

– “A very useful text that includes a broad spectrum of theory and application” (Mechanical Vibration, Prof. Haym Benaroya, Rutgers University).

– “A treatise on random vibration and buckling … The reviewer wishes to compliment the author for the completion of a difficult task in preparing this book on a subject matter, which is still developing on many fronts …” (Prof. James T. P. Yao, Texas A&M University, Journal of Applied Mechanics).

– “It seems to me a hard work with great result …” (Prof. Hans G. Natke, University of Hannover, Federal Republic of Germany).

– “The approach is novel and could dominate the future practice of engineering” (The Structural Engineer).

– “An excellent presentation … well written … all readers, students, and certainly reviewers should read this preface for its excellent presentation of the philosophy and raison d’être for this book. It is well written, with the material presented in an informational fashion as well as to raise questions related to unresolved … challenges; in the vernacular of film critics, ‘thumbs up’” (Dr. R. L. Sierakowski, U.S. Air Force Research Laboratory, AIAA Journal).

– “This substantial and attractive volume is a well-organized and superbly written one that should be warmly welcomed by both theorists and practitioners … Prof. Elishakoff, Li, and Starnes, Jr. have given us a jewel of a book, one done with care and understanding of a complex and essential subject and one that seems to have ably filled a gap existing in the present-day literature and practice” (Current Engineering Practice).

– “Most of the subjects covered in this outstanding book have never been discussed exclusively in the existing treatises … (Ocean Engineering).

– “The treatment is scholarly, having about 900 items in the bibliography and additional contributors in the writing of almost every chapter … This reviewer believes that Non-Classical Problems in the Theory of Elastic Stability should be a useful reference for researchers, engineers, and graduate students in aeronautical, mechanical, civil, nuclear, and marine engineering, and in applied mechanics” (Applied Mechanics Reviews).

– “What more can be said about this monumental work, other than to express admiration? … The study is of great academic interest, and is clearly a labor of love. The author is to be congratulated on this work …” (Prof. H. D. Conway, Department of Theoretical and Applied Mechanics, Cornell University).

– “This book … is prepared by Isaac Elishakoff, one of the eminent solid mechanics experts of the 20th century and the present one, and his distinguished coauthors, will be of enormous use to researchers, graduate students and professionals in the fields of ocean, naval, aerospace and mechanical engineers as well as other fields” (Prof. Patricio A. A. Laura, Prof. Carlos A. Rossit, Prof. Diana V. Bambill, Universidad Nacional del Sur, Argentina, Ocean Engineering).

– “This book is an outstanding research monograph … extremely well written, informative, highly original … great scholarly contribution …. There is no comparable book discussing the combination of optimization and anti-optimization … magnificent monograph …. This book, which certainly is written with love and passion, is the first of its kind in applied mechanics literature, and has the potential of having a revolutionary impact on both uncertainty analysis and optimization” (Prof. Izuru Takewaki, Kyoto University, Engineering Structures).

– “This book is a collection of a surprisingly large number of closed form solutions, by the author and by others, involving the buckling of columns and beams, and the vibration of rods, beams and circular plates. The structures are, in general, inhomogeneous. Many solutions are published here for the first time. The text starts with an instructive review of direct, semi-inverse, and inverse eigenvalue problems. Unusual closed form solutions of column buckling are presented first, followed by closed form solutions of the vibrations of rods. Unusual closed form solutions for vibrating beams follow. The influence of boundary conditions on eigenvalues is discussed. An entire chapter is devoted to boundary conditions involving guided ends. Effects of axial loads and of elastic foundations are presented in two separate chapters. The closed form solutions of circular plates concentrate on axisymmetric vibrations. The scholarly effort that produced this book is remarkable” (Prof. Werner Soedel, then Editor-in-Chief of Journal Sound and Vibration).

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