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This book begins with the fundamentals of the mathematical theory of plasticity. The discussion then turns to the theory of plastic stress and its applications to structural analysis. It concludes with a wide range of topics in dynamic plasticity including wave propagation, armor penetration, and structural impact in the plastic range. In view of the rapidly growing interest in computational methods, an appendix presents the fundamentals of a finite-element analysis of metal-forming problems.
This book begins with the fundamentals of the mathematical theory of plasticity. The discussion then turns to the theory of plastic stress and its applications to structural analysis. It concludes with a wide range of topics in dynamic plasticity including wave propagation, armor penetration, and structural impact in the plastic range. In view of the rapidly growing interest in computational methods, an appendix presents the fundamentals of a finite-element analysis of metal-forming problems.
Mechanical engineering, an engineering discipline forged and shaped by the needs of the industrial revolution, is once again asked to do its substantial share in the call for industrial renewal. The general call is urgent as we face profound issues of productivity and competitiveness that require engineering solutions, among others . The Mechanical Engineering Series features graduate texts and research monographs intended to address the need for information in contemporary areas of mechanical engineering. The series is conceived as a comprehensive one that covers a broad range of c- centrations important to mechanical engineering graduate education and research . We are fortunate to have a distinguished roster of consulting editors on the ad- sory board, each an expert in one of the areas of concentration . The names of the consulting editors are listed on the facing page of this volume . The areas of conc- tration are applied mechanics, biomechanics, computational mechanics, dynamic systems and control, energetics , mechanics of materials, processing, production systems, thermal science, and tribology .
Limit Analysis and Concrete Plasticity, Second Edition covers the most relevant topics related to plastic design methods, providing a reliable and superior alternative to existing empirical methods. Fully updated and containing more extensive coverage, this second edition includes numerical methods and computer code for solving problems, incorporating methods into Eurocode 2 - the common concrete standard for the whole of Europe. This edition: Emphasizes practical design, treating almost all the elementary concrete mechanics problems in such a way that the solutions may be directly applied by the designer Details the fundamental problems associated with so-called effectiveness factors Covers many new solutions to specific problems, including concentrated forces, shear walls and deep beams, beams with normal forces and torsional moments, and solutions dealing with membrane effects in slabs Simplifies the treatment of shear in beams and slabs without shear reinforcement or with a modicum of shear reinforcement Extends the chapters on joints and bond strength, showing how plastic theory offers reasonable solutions for most structural problems in reinforced concrete Limit Analysis and Concrete Plasticity explains the basic principles of plasticity theory and its application to the design of reinforced and prestressed concrete structures, providing a thorough understanding of the subject, rather than simply applying current design codes. This scientific understanding of the subject enables the design student or engineer to solve problems more effectively and safely.
Plasticity is concerned with the mechanics of materials deformed beyond their elastic limit. A strong knowledge of plasticity is essential for engineers dealing with a wide range of engineering problems, such as those encountered in the forming of metals, the design of pressure vessels, the mechanics of impact, civil and structural engineering, as well as the understanding of fatigue and the economical design of structures. Theory of Plasticity is the most comprehensive reference on the subject as well as the most up to date -- no other significant Plasticity reference has been published recently, making this of great interest to academics and professionals. This new edition presents extensive new material on the use of computational methods, plus coverage of important developments in cyclic plasticity and soil plasticity. A complete plasticity reference for graduate students, researchers and practicing engineers; no other book offers such an up to date or comprehensive reference on this key continuum mechanics subject Updates with new material on computational analysis and applications, new end of chapter exercises Plasticity is a key subject in all mechanical engineering disciplines, as well as in manufacturing engineering and civil engineering. Chakrabarty is one of the subject's leading figures.
Focussing on theoretical aspects of the small-strain theory of hardening elastoplasticity, this monograph provides a comprehensive and unified treatment of the mathematical theory and numerical analysis, exploiting in particular the great advantages gained by placing the theory in a convex analytic context. Divided into three parts, the first part of the text provides a detailed introduction to plasticity, in which the mechanics of elastoplastic behaviour is emphasised, while the second part is taken up with mathematical analysis of the elastoplasticity problem. The third part is devoted to error analysis of various semi-discrete and fully discrete approximations for variational formulations of the elastoplasticity.