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Introduction to the Variational Formulation in Mechanics: Fundamentals and Applications free ebook download

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Mathematics

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Author(s):	Edgardo O. Taroco, Pablo J. Blanco, RaГєl A. FeijГіo

Date:	2020-02-10	Format:	pdf	Language:	English	ISBN/ASIN:	1119600901
Pages:	608	OCR:		Quality:		ISBN13:
Uploader:	maveriks	Upload Date:	12/15/2019 6:27:39 PM

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1119600901 pdf
Introduces readers to the fundamentals and applications of variational formulations in mechanics Nearly 40 years in the making, this book provides students with the foundation material of mechanics using a variational tapestry. It is centered around the variational structure underlying the Method of Virtual Power (MVP). The variational approach to the modeling of physical systems is the preferred approach to address complex mathematical modeling of both continuum and discrete media. This book provides a unified theoretical framework for the construction of a wide range of multiscale models. Introduction to the Variational Formulation in Mechanics: Fundamentals and Applications enables readers to develop, on top of solid mathematical (variational) bases, and following clear and precise systematic steps, several models of physical systems, including problems involving multiple scales. It covers: Vector and Tensor Algebra  Vector and Tensor Analysis  Mechanics of Continua  Hyperelastic Materials  Materials Exhibiting Creep  Materials Exhibiting Plasticity  Bending of Beams  Torsion of Bars  Plates and Shells  Heat Transfer  Incompressible Fluid Flow  Multiscale Modeling  and more. A self-contained reader-friendly approach to the variational formulation in the mechanics Examines development of advanced variational formulations in different areas within the field of mechanics using rather simple arguments and explanations Illustrates application of the variational modeling to address hot topics such as the multiscale modeling of complex material behavior Presentation of the Method of Virtual Power as a systematic tool to construct mathematical models of physical systems gives readers a fundamental asset towards the architecture of even more complex (or open) problems Introduction to the Variational Formulation in Mechanics: Fundamentals and Applications is a ideal book for advanced courses in engineering and mathematics, and an excellent resource for researchers in engineering, computational modeling, and scientific computing.

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Tags: Applications Formulation Fundamentals Introduction Mechanics Variational

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Introduction to the Variational Formulation in Mechanics: Fundamentals and Applications free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics