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

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 handled with house tensor fields. common tensor research is constructed from first ideas, utilizing a unique method that still lays the rules for different purposes, e.g., to differential geometry and relativity concept. The functions given lie within the box of polymer rheology, taken care of at the macroscopic point, during which relatives among rigidity and finite-strain histories are of significant curiosity.
The ebook starts with a evaluate of mathematical must haves, particularly primitive innovations, linear areas, matrices and determinants, and functionals. this is often via separate chapters on physique tensor and basic area tensor fields; the kinematics of shear stream and shear-free movement; Cartesian vector and tensor fields; and relative tensors, box move, and the physique rigidity tensor box. next chapters care for constitutive equations for viscoelastic fabrics; decreased constitutive equations for shear circulation and shear-free movement; covariant differentiation and the strain equations of movement; and pressure measurements in unidirectional shear flow.

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