Fundamentals of the Mechanics of Solids

Nonfiction, Science & Nature, Science, Physics, Mechanics, Mathematics, Applied
Cover of the book Fundamentals of the Mechanics of Solids by Paolo Maria Mariano, Luciano Galano, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Paolo Maria Mariano, Luciano Galano ISBN: 9781493931330
Publisher: Springer New York Publication: November 30, 2015
Imprint: Birkhäuser Language: English
Author: Paolo Maria Mariano, Luciano Galano
ISBN: 9781493931330
Publisher: Springer New York
Publication: November 30, 2015
Imprint: Birkhäuser
Language: English

This distinctive textbook aims to introduce readers to the basic structures of the mechanics of deformable bodies, with a special emphasis on the description of the elastic behavior of simple materials and structures composed by elastic beams.  The authors take a deductive rather than inductive approach and start from a few first, foundational principles.  A wide selection of exercises, many with hints and solutions, are provided throughout and organized in a way that will allow readers to form a link between abstract mathematical concepts and real-world applications.

The text begins with the definition of bodies and deformations, keeping the kinematics of rigid bodies as a special case; the authors also distinguish between material and spatial metrics, defining each one in the pertinent space.  Subsequent chapters cover observers and classes of possible changes; forces, torques, and related balances, which are derived from the invariance under classical changes in observers of the power of the external actions over a body, rather than postulated a priori; constitutive structures; variational principles in linear elasticity; the de Saint-Venant problem; yield criteria and a discussion of their role in the representation of material behavior; and an overview of some bifurcation phenomena, focusing on the Euler rod.  An appendix on tensor algebra and tensor calculus is included for readers who need a brief refresher on these topics.

Fundamentals of the Mechanics of Solids is primarily intended for graduate and advanced undergraduate students in various fields of engineering and applied mathematics.  Prerequisites include basic courses in calculus, mathematical analysis, and classical mechanics.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This distinctive textbook aims to introduce readers to the basic structures of the mechanics of deformable bodies, with a special emphasis on the description of the elastic behavior of simple materials and structures composed by elastic beams.  The authors take a deductive rather than inductive approach and start from a few first, foundational principles.  A wide selection of exercises, many with hints and solutions, are provided throughout and organized in a way that will allow readers to form a link between abstract mathematical concepts and real-world applications.

The text begins with the definition of bodies and deformations, keeping the kinematics of rigid bodies as a special case; the authors also distinguish between material and spatial metrics, defining each one in the pertinent space.  Subsequent chapters cover observers and classes of possible changes; forces, torques, and related balances, which are derived from the invariance under classical changes in observers of the power of the external actions over a body, rather than postulated a priori; constitutive structures; variational principles in linear elasticity; the de Saint-Venant problem; yield criteria and a discussion of their role in the representation of material behavior; and an overview of some bifurcation phenomena, focusing on the Euler rod.  An appendix on tensor algebra and tensor calculus is included for readers who need a brief refresher on these topics.

Fundamentals of the Mechanics of Solids is primarily intended for graduate and advanced undergraduate students in various fields of engineering and applied mathematics.  Prerequisites include basic courses in calculus, mathematical analysis, and classical mechanics.

More books from Springer New York

Cover of the book Normal and Abnormal Swallowing by Paolo Maria Mariano, Luciano Galano
Cover of the book Plant Acclimation to Environmental Stress by Paolo Maria Mariano, Luciano Galano
Cover of the book Policy Initiatives Towards the Third Sector in International Perspective by Paolo Maria Mariano, Luciano Galano
Cover of the book A Textbook of Graph Theory by Paolo Maria Mariano, Luciano Galano
Cover of the book The Vitreous and Vitreoretinal Interface by Paolo Maria Mariano, Luciano Galano
Cover of the book Embryology by Paolo Maria Mariano, Luciano Galano
Cover of the book Problem Solving Courts by Paolo Maria Mariano, Luciano Galano
Cover of the book Telephone and Helpdesk Skills by Paolo Maria Mariano, Luciano Galano
Cover of the book Disease, Diagnoses, and Dollars by Paolo Maria Mariano, Luciano Galano
Cover of the book The Care and Management of Spinal Cord Injuries by Paolo Maria Mariano, Luciano Galano
Cover of the book Einstein's Theory by Paolo Maria Mariano, Luciano Galano
Cover of the book The ASCRS Manual of Colon and Rectal Surgery by Paolo Maria Mariano, Luciano Galano
Cover of the book The Genetics and Development of Scoliosis by Paolo Maria Mariano, Luciano Galano
Cover of the book Intimate Violence Across the Lifespan by Paolo Maria Mariano, Luciano Galano
Cover of the book Fire Safety Challenges of Green Buildings by Paolo Maria Mariano, Luciano Galano
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy