Tag: Deformations

Mechanics of Fluid Deformations Rigid Body Rotations and Plane Channel Flow Stability (World Scientific)


Free Download Mechanics of Fluid Deformations: Rigid Body Rotations and Plane Channel Flow Stability (World Scientific) by Oleg V Troshkin
English | April 8, 2021 | ISBN: 981123051X | 284 pages | MOBI | 11 Mb
This book covers a new approach to analyzing hydrodynamic stability.With the use of standard remedies of functional analysis, theory of boundary value problems and infinitesimal Lie algebras, it is shown in the book that large vortex mushrooms of an ideal incompressible fluid in a vertical strip behind a water hammer proves to be 2D (plane-parallel) nonlinear (for arbitrary disturbances of initial velocities) and long wave stable. It is one of the many examples provided in the book discussing hydrodynamic stability.

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Mechanics of Fluid Deformations Rigid Body Rotations and Plane Channel Flow Stability (World Scientific)


Free Download Mechanics of Fluid Deformations: Rigid Body Rotations and Plane Channel Flow Stability (World Scientific) by Oleg V Troshkin
English | April 8, 2021 | ISBN: 981123051X | 284 pages | MOBI | 11 Mb
This book covers a new approach to analyzing hydrodynamic stability.With the use of standard remedies of functional analysis, theory of boundary value problems and infinitesimal Lie algebras, it is shown in the book that large vortex mushrooms of an ideal incompressible fluid in a vertical strip behind a water hammer proves to be 2D (plane-parallel) nonlinear (for arbitrary disturbances of initial velocities) and long wave stable. It is one of the many examples provided in the book discussing hydrodynamic stability.

(more…)

Geometry of Incompatible Deformations Differential Geometry in Continuum Mechanics


Free Download Sergey Lychev, "Geometry of Incompatible Deformations: Differential Geometry in Continuum Mechanics "
English | ISBN: 3110562014 | 2018 | 408 pages | EPUB | 31 MB
This monograph provides a systematic treatment of differential geometry in modeling of incompatible fiite deformations in solids. Included are discussions of generalized deformations and stress measures on smooth manifolds, geometrical formalizations for structurally inhomogeneous bodies, representations for configurational forces, and evolution equations.

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