Nonlinear Continua
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Beschreibung
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.
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.
Modern and rigorous presentation of nonlinear continuum mechanics Intended to provide the basis for Computational Techniques
Autor*in
Eduardo N. Dvorkin
Themen in »Nonlinear Continua«
Solid and Structural Mechanics Tensor computational mechanics continuum mechanics fluid mechanics kinematics mechanics nonlinear analysis stress structures tensor analysis variational principles