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Precursors of Isogeometric Analysis: Finite Elements, Boundary Elements, and Collocation Methods de Christopher G. Provatidis

Precursors of Isogeometric Analysis: Finite Elements, Boundary Elements, and Collocation Methods: Solid Mechanics and Its Applications, cartea 256

Autor Christopher G. Provatidis
en Limba Engleză Hardback – 14 ian 2019
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.
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Specificații

ISBN-13: 9783030038885
ISBN-10: 3030038882
Pagini: 330
Ilustrații: XX, 587 p. 255 illus., 150 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 1.02 kg
Ediția:1st ed. 2019
Editura: Springer International Publishing
Colecția Springer
Seria Solid Mechanics and Its Applications

Locul publicării:Cham, Switzerland

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

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