Nonlinear Continua [electronic resource] / by Eduardo N. Dvorkin, Marcela B. Goldschmit.Material type: TextLanguage: English Series: Computational Fluid and Solid Mechanics: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005Description: XII, 260 p. 30 illus. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540292647Subject(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 PhenomenaAdditional physical formats: Printed edition:: No titleDDC classification: 620.1 LOC classification: TA405-409.3QA808.2Online resources: Click here to access online
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.