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Boundary value problems. --- Green's functions. --- Mechanics, Applied --- Mathematics.
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Materials --- Mechanics, Applied. --- Mechanical properties. --- Materials. --- Materials - Mechanical properties. --- Mechanical properties
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Chaotic behavior in systems --- Mechanics, Applied --- Nonlinear theories --- Congresses --- Congresses --- Congresses
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The theory of elastoplastic media is now a mature branch of solid and structural mechanics, having experienced significant development during the latter half of this century. This monograph focuses on theoretical aspects of the small-strain theory of hardening elastoplasticity. It is intended to provide a reasonably comprehensive and unified treatment of the mathematical theory and numerical analysis, exploiting in particular the great advantages to be gained by placing the theory in a convex analytic context. The book is divided into three parts. The first part provides a detailed introduction to plasticity, in which the mechanics of elastoplastic behavior is emphasized. 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. The work is intended for a wide audience: this would include specialists in plasticity who wish to know more about the mathematical theory, as well as those with a background in the mathematical sciences who seek a self-contained account of the mechanics and mathematics of plasticity theory.
Plasticity. --- Numerical analysis. --- Plasticité --- Analyse numérique --- Plasticity --- Numerical analysis --- Engineering & Applied Sciences --- Applied Mathematics --- Engineering. --- Mechanics. --- Mechanics, Applied. --- Theoretical and Applied Mechanics. --- Mechanics, applied. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Mathematical analysis --- Cohesion --- Deformations (Mechanics) --- Elasticity --- Plastics --- Rheology
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This book presents rigorous treatment of boundary value problems in nonlinear theory of shallow shells. The consideration of the problems is carried out using methods of nonlinear functional analysis.
Shells (Engineering) --- Nonlinear theories. --- Boundary value problems. --- Coques (Ingénierie) --- Théories non linéaires --- Problèmes aux limites --- Nonlinear theories --- Shells (Engineering). --- Boundary value problems --- Mathematics --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Civil Engineering --- Mathematical Theory --- Engineering. --- Mechanics. --- Mechanics, Applied. --- Theoretical and Applied Mechanics. --- Mechanics, applied. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Boundary conditions (Differential equations) --- Differential equations --- Functions of complex variables --- Mathematical physics --- Initial value problems --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Structural shells --- Elastic plates and shells --- Structural analysis (Engineering) --- Plates (Engineering)
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Mechanical Engineering, an engineering discipline borne of the needs of the in dustrial 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 pro ductivity and competitiveness that require engineering solutions, among others. The Mechanical Engineering Series features graduate texts and research mono graphs intended to address the need for information in contemporary areas ofme chanical engineering. The series is conceived as a comprehensive one that covers a broad range of concentrations important to mechanical engineering graduate education and re search. We are fortunate to have a distinguished roster ofconsulting editors on the advisory board, each an expert in one ofthe areas ofconcentration. The names of the consulting editors are listed on the next page of this volume. The areas of concentration are applied mechanics, biomechanics, computational mechanics, dynamic systems and control, energetics, mechanics ofmaterials, processing, ther mal science, and tribology. Frederick A. Leckie,the series editor for applied mechanics, and I are pleased to presentthis volume in the Series: Nonlinear Computational Structural Mechan ics: New Approaches and Non-Incremental Methods of Calculation, by Pierre Ladeveze. The selection of this volume underscores again the interest of the Me chanical Engineering series to provide our readers with topical monographs as well as graduate texts in a wide variety of fields.
Nonlinear mechanics --- Structural analysis (Engineering) --- Mathematical models. --- Structural analysis (Engineering). --- Mechanics. --- Mechanics, Applied. --- Theoretical and Applied Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Architectural engineering --- Engineering, Architectural --- Structural mechanics --- Structures, Theory of --- Structural engineering
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Materials --- Thermoelasticity --- Micromechanics --- Continuum mechanics --- Thermal properties --- Mathematical models --- Mechanics. --- Mechanics, Applied. --- Surfaces (Physics). --- Solid Mechanics. --- Classical Mechanics. --- Characterization and Evaluation of Materials. --- Materials science. --- Material science --- Physical sciences --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Elastic solids --- Elasticity --- Thermodynamics --- Engineering --- Engineering materials --- Industrial materials --- Engineering design --- Manufacturing processes
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Smart (intelligent) structures have been the focus of a great deal of recent research interest. In this book, leading researchers report the state of the art and discuss new ideas, results and trends in 43 contributions, covering fundamental research issues, the role of intelligent monitoring in structural identification and damage assessment, the potential of automatic control systems in achieving a desired structural behaviour, and a number of practical issues in the analysis and design of smart structures in mechanical and civil engineering applications. Audience: A multidisciplinary reference for materials scientists and engineers in such areas as mechanical, civil, aeronautical, electrical, control, and computer engineering.
Mechanics. --- Mechanics, Applied. --- Mechanical engineering. --- Materials science. --- Classical Mechanics. --- Solid Mechanics. --- Mechanical Engineering. --- Characterization and Evaluation of Materials. --- Material science --- Physical sciences --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Applied mechanics --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Smart materials. --- Adaptive materials --- Intelligent materials --- Sense-able materials --- Materials
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