Cosserat Theories: Shells, Rods and Points

M.B. Rubin (Autor)

Buch | Softcover

488 Seiten

2010 | Softcover reprint of hardcover 1st ed. 2000
Springer (Verlag)
978-90-481-5531-6 (ISBN)

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Continuum Continuum mechanics mechanics provides provides a a theoretical theoretical structure structure for for analyzing analyzing the the response response of of materials materials to to mechanical mechanical and and thermal thermal loads. loads. One One of of the the beauties beauties of of continuum continuum mechanics mechanics is is that that the the fundamental fundamental balance balance laws laws (conservation (conservation of of mass mass and and balances balances of of linear linear momentum, momentum, angular angular momentum, momentum, energy energy and and entropy) entropy) are are valid valid for for all all simple simple materials. materials. Most Most of of the the modern modern research research in in continuum continuum mechanics mechanics focuses focuses on on the the development development of of constitutive constitutive equations equations which which are are used used to to characterize characterize the the response response of of a a particular particular class class of of materials materials (e.g. (e.g. invisicid invisicid fluids, fluids, viscous viscous fluids, fluids, elastic elastic solids, solids, viscoelastic viscoelastic solids, solids, elastic elastic plastic solids, elastic-viscoplastic solids, etc.). plastic solids, elastic-viscoplastic solids, etc.).

1 Introduction.- 2 Basic Tensor Operations in Curvilinear Coordinates.- 3 Three-Dimensional Continua.- 4 Cosserat Shells.- 5 Cosserat Rods.- 6 Cosserat Points.- 7 Numerical Solutions using Cosserat Theories.- Appendix A Tensors, Tensor Products and Tensor Operations in Three Dimensions.- A.1 Vectors and vector operations.- A.2 Tensors as linear operators.- A.3 Tensor products (special case).- A.4 Indicial notation.- A.5 Tensor products (general case).- A.6 Tensor transformation relations.- A.7 Additional definitions and results.- Appendix B Summary of Tensor Operations in Specific Coordinate Systems.- B.1 Cylindrical polar coordinates.- B 2 Spherical polar coordinates.- Exercises.- Acknowledgments.- References.

Erscheint lt. Verlag	7.12.2010
Reihe/Serie	Solid Mechanics and Its Applications ; 79
Zusatzinfo	XVI, 488 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Weitere Themen ► CAD-Programme
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Technik ► Maschinenbau
ISBN-10	90-481-5531-2 / 9048155312
ISBN-13	978-90-481-5531-6 / 9789048155316
Zustand	Neuware