Inelastic Analysis of Structures


Author: Milan Jirasek,Zdenek P. Bazant
Publisher: John Wiley & Sons
ISBN: 9780471987161
Category: Technology & Engineering
Page: 758
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The modeling of mechanical properties of materials and structures is a complex and wide-ranging subject. In some applications, it is sufficient to assume that the material remains elastic, i.e. that the deformation process is fully reversible and the stress is a unique function of strain. However, such a simplified assumption is appropriate only within a limited range, and in general must be replaced by a more realistic approach that takes into account the inelastic processes such as plastic yielding or cracking. This book presents a comprehensive treatment of the most important areas of plasticity and of time-dependent inelastic behavior (viscoplasticity of metals, and creep and shrinkage of concrete). It covers structural aspects such as: * incremental analysis * limit analysis * shakedown analysis * optimal design * beam structures subjected to bending and torsion * yield line theory of plates * slip line theory * size effect in structures * creep and shrinkage effects in concrete structures. The following aspects of the advanced material modeling are presented: * yield surfaces for metals and plastic-frictional materials * hardening and softening * stress-return algorithms * large-strain formulations * thermodynamic framework * microplane models * localization of plastic strain. Inelastic Analysis of Structures is a textbook for basic and advanced courses on plasticity, with a slight emphasis on structural engineering applications, but with a wealth of material for geotechnical, mechanical, aerospace, naval, petroleum and nuclear engineers. The text is constructed in a very didactical way, while the mathematics has been kept rigorous.

Twelve Landmarks of Twentieth-Century Analysis


Author: D. Choimet,H. Queffélec
Publisher: Cambridge University Press
ISBN: 1107059453
Category: Mathematics
Page: 521
View: 8066

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This book combines rigorous proofs with commentary on the underlying ideas to provide a rich insight into these mathematical landmarks.

Recent Trends in Ergodic Theory and Dynamical Systems


Author: Siddhartha Bhattacharya,Tarun Das,Anish Ghosh,Riddhi Shah
Publisher: American Mathematical Soc.
ISBN: 1470409313
Category: Mathematics
Page: 258
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This volume contains the proceedings of the International Conference on Recent Trends in Ergodic Theory and Dynamical Systems, in honor of S. G. Dani's 65th Birthday, held December 26-29, 2012, in Vadodara, India. This volume covers many topics of ergodic theory, dynamical systems, number theory and probability measures on groups. Included are papers on Teichmüller dynamics, Diophantine approximation, iterated function systems, random walks and algebraic dynamical systems, as well as two surveys on the work of S. G. Dani.

The General Theory of Dirichlet's Series


Author: G. H. Hardy,Marcel Riesz
Publisher: Cambridge University Press
ISBN: 1107493870
Category: Mathematics
Page: 88
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Originally published in 1915 as number eighteen in the Cambridge Tracts in Mathematics and Mathematical Physics series, and here reissued in its 1952 reprinted form, this book contains a condensed account of Dirichlet's Series, which relates to number theory. This tract will be of value to anyone with an interest in the history of mathematics or in the work of G. H. Hardy.

Advanced Analytic Number Theory

L-Functions
Author: Carlos J. Moreno
Publisher: American Mathematical Soc.
ISBN: 0821842668
Category: Mathematics
Page: 291
View: 5092

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Since the pioneering work of Euler, Dirichlet, and Riemann, the analytic properties of L-functions have been used to study the distribution of prime numbers. With the advent of the Langlands Program, L-functions have assumed a greater role in the study of the interplay between Diophantine questions about primes and representation theoretic properties of Galois representations. The present book provides a complete introduction to the most significant class of L-functions: the Artin-Hecke L-functions associated to finite-dimensional representations of Weil groups and to automorphic L-functions of principal type on the general linear group. In addition to establishing functional equations, growth estimates, and non-vanishing theorems, a thorough presentation of the explicit formulas of Riemann type in the context of Artin-Hecke and automorphic L-functions is also given. The survey is aimed at mathematicians and graduate students who want to learn about the modern analytic theory of L-functions and their applications in number theory and in the theory of automorphic representations. The requirements for a profitable study of this monograph are a knowledge of basic number theory and the rudiments of abstract harmonic analysis on locally compact abelian groups.

Mathematical modeling of creep and shrinkage of concrete


Author: Z. P. Bažant,Robert L'Hermite,International Union of Testing and Research Laboratories for Materials and Structures,National Science Foundation (U.S.)
Publisher: John Wiley & Sons
ISBN: 9780471920571
Category: Technology & Engineering
Page: 459
View: 5370

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Based on the proceedings of the Fourth International Union of Testing and Research Laboratories in Materials and Structures (RILEM) Symposium held at Northwestern University, August 1986. Contributions reflect the state of the art and address the major concerns related to long-term serviceability of concrete construction.