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This book presents the mathematics behind the formulation, approximation, and numerical analysis of contact and friction problems. It also provides a survey of recent developments in the numerical approximation of such problems as well as several remaining unsolved issues. Particular focus is placed on the Signorini problem and on frictionless unilateral contact in small strain. The final chapters cover more complex, applications-oriented problems, such as frictional contact, multi-body contact, and large strain. Finite Element Approximation of Contact and Friction in Elasticity will be a valuable resource for researchers in the area. It may also be of interest to those studying scientific computing and computational mechanics.
Numerical analysis. --- Mathematics—Data processing. --- Continuum mechanics. --- Mechanics, Applied. --- Solids. --- Numerical Analysis. --- Computational Mathematics and Numerical Analysis. --- Continuum Mechanics. --- Solid Mechanics. --- Solid state physics --- Transparent solids --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Mathematical analysis --- Mètode dels elements finits --- Elasticitat --- Anàlisi numèrica --- Fricció --- Mecànica aplicada
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This book presents the mathematics behind the formulation, approximation, and numerical analysis of contact and friction problems. It also provides a survey of recent developments in the numerical approximation of such problems as well as several remaining unsolved issues. Particular focus is placed on the Signorini problem and on frictionless unilateral contact in small strain. The final chapters cover more complex, applications-oriented problems, such as frictional contact, multi-body contact, and large strain. Finite Element Approximation of Contact and Friction in Elasticity will be a valuable resource for researchers in the area. It may also be of interest to those studying scientific computing and computational mechanics.
Numerical analysis --- Fluid mechanics --- Solid state physics --- Applied physical engineering --- Computer. Automation --- toegepaste mechanica --- informatica --- wiskunde --- mechanica --- numerieke analyse
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