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This book comprehensively treats the formulation and finite element approximation of contact and impact problems in nonlinear mechanics. Intended for students, researchers and practitioners interested in numerical solid and structural analysis, as well as for engineers and scientists dealing with technologies in which tribological response must be characterized, the book includes an introductory but detailed overview of nonlinear finite element formulations before dealing with contact and impact specifically. Topics encompassed include the continuum mechanics, mathematical structure, variational framework, and finite element implementations associated with contact/impact interaction. Additionally, important and currently emerging research topics in computational contact mechanics are introduced, encompassing such topics as tribological complexity, conservative treatment of inelastic impact interaction, and novel spatial discretization strategies.
Mechanics. --- Mechanics, Applied. --- Computational intelligence. --- Classical Mechanics. --- Solid Mechanics. --- Computational Intelligence. --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Mecanique des corps elastiques --- Mecanique des corps solids
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Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems. Furthermore, solution algorithms for single- and multi-processor computing environments, enabling methods that span from multi-contact to multi-scale approaches are discussed together with numerical experiments related to soil mechanics using discontinuous deformation analysis.
Engineering. --- Computer mathematics. --- Mechanics. --- Computational intelligence. --- Continuum mechanics. --- Continuum Mechanics and Mechanics of Materials. --- Computational Intelligence. --- Computational Science and Engineering. --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Construction --- Industrial arts --- Technology --- Mathematics --- Contact mechanics --- Mechanics, Applied. --- Mathematical models. --- Contact problems (Mechanics) --- Mechanics, Contact --- Mechanics, Applied --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Computer science. --- Solid Mechanics. --- Classical Mechanics. --- Informatics --- Science
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Classical mechanics. Field theory --- Fluid mechanics --- Computer science --- Computer. Automation --- informatica --- algoritmen --- informaticaonderzoek --- mechanica --- numerieke analyse
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Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems. Furthermore, solution algorithms for single- and multi-processor computing environments, enabling methods that span from multi-contact to multi-scale approaches are discussed together with numerical experiments related to soil mechanics using discontinuous deformation analysis.
Classical mechanics. Field theory --- Fluid mechanics --- Computer science --- Computer. Automation --- informatica --- algoritmen --- informaticaonderzoek --- mechanica --- numerieke analyse
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