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Nonlinear Continua [electronic resource] /by Eduardo N. Dvorkin, Marcela B. Goldschmit.

by Dvorkin, Eduardo N [author.]; Goldschmit, Marcela B [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Computational Fluid and Solid Mechanics: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.Description: XII, 260 p. 30 illus. online resource.ISBN: 9783540292647.Subject(s): Engineering | Global differential geometry | Mechanics | Materials | Hydraulic engineering | Engineering | Continuum Mechanics and Mechanics of Materials | Differential Geometry | Mechanics | Engineering Fluid Dynamics | Engineering Thermodynamics, Transport PhenomenaDDC classification: 620.1 Online resources: Click here to access online
Contents:
Kinematics of the continuous media -- Stress Tensor -- Balance principles -- Constitutive relations -- Variational methods.
In: Springer eBooksSummary: 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.
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Kinematics of the continuous media -- Stress Tensor -- Balance principles -- Constitutive relations -- Variational methods.

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.

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