Introduction to Computational Contact Mechanics

Beschreibung

Introduction to Computational Contact Mechanics: A GeometricalApproach covers the fundamentals of computational contactmechanics and focuses on its practical implementation. Part one ofthis textbook focuses on the underlying theory and covers essentialinformation about differential geometry and mathematical methodswhich are necessary to build the computational algorithmindependently from other courses in mechanics. The geometricallyexact theory for the computational contact mechanics is describedin step-by-step manner, using examples of strict derivation from amathematical point of view. The final goal of the theory is toconstruct in the independent approximation form /so-calledcovariant form, including application to high-order andisogeometric finite elements. The second part of a book is a practical guide for programming ofcontact elements and is written in such a way that makes it easyfor a programmer to implement using any programming language. Allprogramming examples are accompanied by a set of verificationexamples allowing the user to learn the research verificationtechnique, essential for the computational contact analysis. Key features: * Covers the fundamentals of computational contact mechanics * Covers practical programming, verification and analysis ofcontact problems * Presents the geometrically exact theory for computationalcontact mechanics * Describes algorithms used in well-known finite element softwarepackages * Describes modeling of forces as an inverse contactalgorithm * Includes practical exercises * Contains unique verification examples such as the generalizedEuler formula for a rope on a surface, and the impact problem andverification of thå percussion center * Accompanied by a website hosting software Introduction to Computational Contact Mechanics: A GeometricalApproach is an ideal textbook for graduates and seniorundergraduates, and is also a useful reference for researchers andpractitioners working in computational mechanics.

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Alexander Konyukhov

Themen in »Introduction to Computational Contact Mechanics«

Computational / Numerical Methods Festkörpermechanik Kontaktmechanik Maschinenbau Mathematics Mathematik Mechanical Engineering Numerical Methods Numerische Methoden Rechnergestützte / Numerische Verfahren im Maschinenbau Solid Mechanics

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