Download e-book for iPad: Body Tensor Fields in Continuum Mechanics: With Applications by Arthur S. Lodge

By Arthur S. Lodge

physique Tensor Fields in Continuum Mechanics: With functions to Polymer Rheology goals to outline physique tensor fields and to teach how they are often used to virtue in continuum mechanics, which has hitherto been handled with house tensor fields. basic tensor research is built from first rules, utilizing a unique strategy that still lays the principles for different functions, e.g., to differential geometry and relativity concept. The purposes given lie within the box of polymer rheology, handled at the macroscopic point, during which kinfolk among tension and finite-strain histories are of vital curiosity.
The booklet starts off with a overview of mathematical necessities, specifically primitive options, linear areas, matrices and determinants, and functionals. this can be by way of separate chapters on physique tensor and basic house tensor fields; the kinematics of shear stream and shear-free move; Cartesian vector and tensor fields; and relative tensors, box move, and the physique pressure tensor box. next chapters take care of constitutive equations for viscoelastic fabrics; decreased constitutive equations for shear circulate and shear-free movement; covariant differentiation and the strain equations of movement; and tension measurements in unidirectional shear flow.

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Body Tensor Fields in Continuum Mechanics: With Applications to Polymer Rheology by Arthur S. Lodge

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