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"Presents several advanced topics including fourth-order tensors, differentiation of tensors, exponential and logarithmic tensors, and their application to nonlinear elasticity" [Publisher]

Continuum mechanics. --- Tensor algebra. --- Milieux continus, Mécanique des. --- Algèbre tensorielle.

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Collection of selected, peer reviewed papers from the 13 th International Conference on Fracture and Damage Mechanics (FDM 2014), September 23-25, 2014, São Miguel Island, Azores, Portugal.

Fracture mechanics --- Continuum damage mechanics --- CDM (Continuum damage mechanics) --- Damage mechanics, Continuum --- Continuum mechanics

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Continuum mechanics. --- Mechanics, Applied. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics)

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This research monograph discusses novel approaches to geometric continuum mechanics and introduces beams as constraint continuous bodies. In the coordinate free and metric independent geometric formulation of continuum mechanics as well as for beam theories, the principle of virtual work serves as the fundamental principle of mechanics. Based on the perception of analytical mechanics that forces of a mechanical system are defined as dual quantities to the kinematical description, the virtual work approach is a systematic way to treat arbitrary mechanical systems. Whereas this methodology is very convenient to formulate induced beam theories, it is essential in geometric continuum mechanics when the assumptions on the physical space are relaxed and the space is modeled as a smooth manifold. The book addresses researcher and graduate students in engineering and mathematics interested in recent developments of a geometric formulation of continuum mechanics and a hierarchical development of induced beam theories.

Engineering. --- Continuum Mechanics and Mechanics of Materials. --- Classical Continuum Physics. --- Structural Mechanics. --- Materials. --- Mechanical engineering. --- Ingénierie --- Matériaux --- Génie mécanique --- Engineering & Applied Sciences --- Chemical & Materials Engineering --- Materials Science --- Applied Mathematics --- Girders. --- Continuum mechanics. --- Mechanics of continua --- Beams --- Continuum physics. --- Structural mechanics. --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Bars (Engineering) --- Structural frames --- Graphic statics --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Classical and Continuum Physics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Classical field theory --- Continuum physics --- Continuum mechanics

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In this book, we shall consider the kinematics and dynamics of the flows of fluids exhibiting a yield stress. To highlight the principal characteristics of such fluids, the first chapter emphasizes the role played by the yield stress. Next, a careful description of the continuum mechanics behind the constitutive equations for incompressible and compressible viscoplastic fluids is given in Chapters 2–4. In Chapters 5 and 6 analytical solutions to several steady and unsteady flows of Bingham fluids are presented. The subsequent Chapters 7–10 are concerned with the development of variational principles and their numerical solutions, along with perturbation methods which play a significant role in numerical simulations.

Engineering. --- Engineering Fluid Dynamics. --- Fluid- and Aerodynamics. --- Continuum Mechanics and Mechanics of Materials. --- Materials. --- Hydraulic engineering. --- Ingénierie --- Matériaux --- Technologie hydraulique --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Viscoplasticity. --- Fluid mechanics. --- Hydromechanics --- Fluids. --- Continuum mechanics. --- Continuum mechanics --- Plasticity --- Viscosity --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- Mechanics --- Hydrostatics --- Permeability