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531 --- General mechanics. Mechanics of solid and rigid bodies --- 531 General mechanics. Mechanics of solid and rigid bodies --- Contact mechanics --- Contact problems (Mechanics) --- Mechanics, Contact --- Mechanics, Applied --- Mathematical models --- Contact mechanics - mathematical models

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Plate structures are used in almost every area of engineering, including aerospace and naval architecture, civil engineering, and electronics. These structures have diverse geometries and have to withstand a wide range of loading conditions. This book provides the theoretical foundations of the theories of plates manufactured from various materials, outlines and illustrates the methods used for the analysis of these structures, and emphasizes designs and solution techniques available to an engineer.  The book is written for engineers working in industry, graduate students at aerospace, mechanical, civil engineering and naval architecture departments, and investigators interested in the development of the theory of plates and related subjects. While the mathematical modeling employed in the book is understandable to both engineers and graduate students, the book also provides insight into relevant phenomena and theories underlying plate structures. Thus, the reader is equipped with a thorough understanding of the problems and appropriate assumptions, even if the analysis is conducted using commercially available software codes. In addition, the book includes numerous analytical solutions that can confidently be used in the design of plate structures. The combination of theoretical insight and references to practical problems makes the book equally attractive to academia and industry.

Contact mechanics -- Mathematical models. --- Mechanics, Applied. --- Mechanics. --- Plates. --- Plates (Engineering) --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Disks (Mechanics) --- Panels --- Structural plates --- Engineering. --- Continuum mechanics. --- Structural mechanics. --- Mechanical engineering. --- Engineering design. --- Theoretical and Applied Mechanics. --- Continuum Mechanics and Mechanics of Materials. --- Structural Mechanics. --- Mechanical Engineering. --- Engineering Design. --- Elastic plates and shells --- Structural analysis (Engineering) --- Shells (Engineering) --- Mechanics, applied. --- Solid Mechanics. --- Design, Engineering --- Engineering --- Industrial design --- Strains and stresses --- Engineering, Mechanical --- Machinery --- Steam engineering --- Applied mechanics --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Design

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This book is especially suited for people both in research and industry who are interested in the numerical simulation of mechanical systems with unilateral contacts and friction. Such systems can be found in various fields of technical application; consider for example contacts between wheels and ground in vehicle dynamics, walking machines, limit stops and friction in arbitrary kind of mechanisms or contacts between thousands of grains in granular mechanics. The book focuses mainly on rigid multibody systems dynamics with unilateral contacts and friction, however, the proposed non-smooth modeling approach is much more general and also well suited for non-rigid applications. Four main topics are addressed: Non-smooth modeling of unilateral contacts and friction by set valued force laws, Mathematical evaluation of these laws using normal cone inclusions with associated projective equations, Numerical time-stepping integration methods for non-smooth systems, Implementation in a software code. The book closes the gap between highly specialized mathematical literature and engineering application, gives an excellent overview on well established methods in non-smooth mechanics and opens new perspectives for the future development in this promising field of active research.

Applications of Mathematics. --- Contact mechanics -- Mathematical models. --- Friction -- Mathematical models. --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Nonlinear systems. --- Dynamics. --- Dynamical systems --- Kinetics --- Systems, Nonlinear --- Engineering. --- Algebra. --- Applied mathematics. --- Engineering mathematics. --- Mechanics. --- Structural mechanics. --- Vibration. --- Dynamical systems. --- Mechanical engineering. --- Mechanical Engineering. --- Vibration, Dynamical Systems, Control. --- Structural Mechanics. --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Cycles --- Sound --- Architectural engineering --- Engineering, Architectural --- Structural mechanics --- Structures, Theory of --- Structural engineering --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Engineering analysis --- Mathematical analysis --- Construction --- Industrial arts --- Technology --- System theory --- Mechanics, Applied. --- Mathematics. --- Classical Mechanics. --- Solid Mechanics. --- Math --- Science --- Applied mechanics --- Engineering mathematics