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

By Arthur S. Lodge

physique Tensor Fields in Continuum Mechanics: With purposes 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 taken care of with house tensor fields. normal tensor research is constructed from first rules, utilizing a unique strategy that still lays the principles for different functions, e.g., to differential geometry and relativity thought. The functions given lie within the box of polymer rheology, handled at the macroscopic point, within which family among rigidity and finite-strain histories are of important curiosity.
The ebook starts off with a assessment of mathematical necessities, particularly primitive innovations, linear areas, matrices and determinants, and functionals. this can be via separate chapters on physique tensor and common area tensor fields; the kinematics of shear circulate and shear-free movement; Cartesian vector and tensor fields; and relative tensors, box move, and the physique tension 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 pressure measurements in unidirectional shear flow.

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