Nonlinear Continua

This book develops a modern presentation of Continuum Mechanics, oriented towards numerical applications in the fields of nonlinear analysis of solids, structures and fluid mechanics. The kinematics of the continuum deformation, including pull-back / push-forward transformations between different configurations, stress and strain measures, balance principles, constitutive relations and variational principles are developed using general curvilinear coordinates. Even though the mathematical presentation of the different topics is quite rigorous, an effort is made to link formal developments with engineering physical intuition.

List of contents

Kinematics of the continuous media.- Stress Tensor.- Balance principles.- Constitutive relations.- Variational methods.

Summary

This book offers a modern presentation of Continuum Mechanics, oriented towards numerical applications in the nonlinear analysis of solids, structures and fluid mechanics. General curvilinear coordinator kinematics of the continuum deformation, including pull-back / push-forward transformations between different configurations, stress and strain measures, balance principles, constitutive relations and variational principles are developed using general curvilinear coordinates. Although the mathematical presentation is quite rigorous; an effort is made to link formal developments with engineering physical intuition.

Product details

• Authors: Eduardo Dvorkin, Eduardo N Dvorkin, Eduardo N. Dvorkin, Marcela B Goldschmit, Marcela B. Goldschmit
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 11.10.2010
• EAN: 9783642063978
• ISBN: 978-3-642-06397-8
• No. of pages: 260
• Dimensions: 156 mm x 14 mm x 234 mm
• Weight: 417 g
• Illustrations: XII, 260 p. 30 illus.
• Series: Computational Fluid and Solid Mechanics; Computational Fluid and Solid Mechanics
• Subjects: Natural sciences, medicine, IT, technology > Technology > Mechanical engineering, production engineering; C, Klassische Mechanik, Maschinenbau: Strömungsmechanik, Technische Thermodynamik, engineering, Classical mechanics, Thermodynamics, Engineering Thermodynamics, Heat and Mass Transfer, Solid Mechanics, Differential Geometry, Mechanics, Fluid mechanics, Mechanics, Applied, Engineering Fluid Dynamics, Mechanics of fluids, Engineering thermodynamics, Heat engineering, Heat transfer, Mass transfer, Differential & Riemannian geometry