Ebook: Nonlinear Continua
- Tags: Continuum Mechanics and Mechanics of Materials, Differential Geometry, Mechanics, Engineering Fluid Dynamics, Engineering Thermodynamics Transport Phenomena
- Series: Computational Fluid and Solid Mechanics
- Year: 2005
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
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 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 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.
Content:
Front Matter....Pages I-XII
Introduction....Pages 1-5
Kinematics of the continuous media....Pages 7-66
Stress Tensor....Pages 67-84
Balance principles....Pages 85-113
Constitutive relations....Pages 115-181
Variational methods....Pages 183-212
Back Matter....Pages 213-259
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.
Content:
Front Matter....Pages I-XII
Introduction....Pages 1-5
Kinematics of the continuous media....Pages 7-66
Stress Tensor....Pages 67-84
Balance principles....Pages 85-113
Constitutive relations....Pages 115-181
Variational methods....Pages 183-212
Back Matter....Pages 213-259
....