Precursors of Isogeometric Analysis | Buch

Cover: 9783030038885 | Precursors of Isogeometric Analysis | Christopher G. Provatidis | Buch

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Sprache: Englisch

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Beschreibung

This self-contained book addresses the three most popular computational methods in CAE (finite elements, boundary elements, collocation methods) in a unified way, bridging the gap between CAD and CAE.

It includes applications to a broad spectrum of engineering (benchmark) application problems, such as elasto-statics/dynamics and potential problems (thermal, acoustics, electrostatics). It also provides a large number of test cases, with full documentation of original sources, making it a valuable resource for any student or researcher in FEA-related areas.

The book, which assumes readers have a basic knowledge of FEA, can be used as additional reading for engineering courses as well as for other interdepartmental MSc courses.

Zusammenfassung

Offers an instructive and comprehensive presentation of the basics of CAD (Computer-Aided Design) interpolation formulas to enable readers to obtain a solid background for further reading

Discusses CAD/CAE integration in detail

Provides access to numerous full MATLAB codes with step-by-step tutorials

Inhaltsverzeichnis

1 Initial Attempts on CAD/CAE Integration.- 2 Elements of Arroximation and Computational Geometry.- 3 Coons Interpolation as a Vehicle to Derive Isoparametric Elements.- 4 Gordon's Transfinite Macroelements.- 5 Barnhill Interpolation and Relevant Isoparametric Elements.- 6 Bezier Interpolation and Relevant Isoparametric Elements.- 7: B-Splines Interpolation and Relevant Isoparametric Elements.- 8 Rational B-Spline (Nurbs-Based) Macroelements.- 9 Plate Bending Macroelements.- 10: Three-dimensional macroelements.- 11 Global Collocation Using Macroelements.- 12 Global Boundary Elements Using Macroelements.- 13 Mortality Issues.- 14 Global Review-Epilogue.- Appendix A: Green's Theorem.- Appendix B: Numerical Integration.- Appendix C: Chebyshev Polynomials.

Details

Erscheinungsjahr:	2019
Fachbereich:	Fertigungstechnik
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xx 587 S. 105 s/w Illustr. 150 farbige Illustr. 587 p. 255 illus. 150 illus. in color.
ISBN-13:	9783030038885
ISBN-10:	3030038882
Sprache:	Englisch
Herstellernummer:	978-3-030-03888-5
Einband:	Gebunden
Autor:	Provatidis, Christopher G.
Auflage:	1st edition 2019
Hersteller:	Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 38 mm
Von/Mit:	Christopher G. Provatidis
Erscheinungsdatum:	14.01.2019
Gewicht:	1,068 kg