Introduction to the Variational Formulation in Mechanics: Fundamentals and Applications - Rilegato

Taroco, Edgardo O.; Blanco, Pablo J.; Feijo, Ral A.

Rilegato

ISBN 10: 1119600901 ISBN 13: 9781119600909

Casa editrice: John Wiley & Sons Inc, 2019

Riassunto

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.

Su questo libro

Informazioni sull?autore

EDGARDO OMAR TAROCO, PHD, was a Full Researcher at the National Laboratory for Scientific Computing (LNCC/MCTIC) and at the National Institute of Science and Technology in Medicine Assisted by Scientific Computing (INCT-MACC), Petrópolis, Brazil.

PABLO JAVIER BLANCO, PHD, is a Full Researcher at the National Laboratory for Scientific Computing (LNCC/MCTIC) and at the National Institute of Science and Technology in Medicine Assisted by Scientific Computing (INCT-MACC), Petrópolis, Brazil, and Associate Professor at the Catholic University of Petrópolis, Brazil.

RAŚL ANTONINO FEIJÓO, is a Full Researcher at the National Laboratory for Scientific Computing (LNCC/MCTIC) and at the National Institute of Science and Technology in Medicine Assisted by Scientific Computing (INCT-MACC), Petrópolis, Brazil.

Dalla quarta di copertina

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.

Dettagli dell'edizione

• Editore: John Wiley & Sons Inc
• Data di pubblicazione: 2019
• Lingua: Inglese
• ISBN 10: 1119600901
• ISBN 13: 9781119600909
• Rilegatura: Copertina rigida
• Numero di pagine: 588
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile