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Ebook Introduction to continuum mechanics

Ebook Introduction to continuum mechanics has contents: Introduction, the notion of stress; budgets, fluxes, and the equations of motion; kinematics in continuum mechanics; elastic bodies; waves in an elastic medium, statics of elastic media, newtonian fluids, creeping flow, high reynolds number flow. | Introduction to Continuum Mechanics David J. Raymond Physics Department New Mexico Tech Socorro, NM Copyright C David J. Raymond 1994, 1999 -2- Table of Contents Chapter Chapter Chapter Chapter Chapter Chapter Chapter Chapter Chapter Chapter 1 -- Introduction . . . . . . . . . . . 2 -- The Notion of Stress . . . . . . . . 3 -- Budgets, Fluxes, and the Equations of Motion 4 -- Kinematics in Continuum Mechanics . . . 5 -- Elastic Bodies . . . . . . . . . . . 6 -- Waves in an Elastic Medium . . . . . . 7 -- Statics of Elastic Media . . . . . . . 8 -- Newtonian Fluids . . . . . . . . . 9 -- Creeping Flow . . . . . . . . . . 10 -- High Reynolds Number Flow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 . 5 . 32 . 48 . 59 . 70 . 80 . 95 . 113 . 122 -3- Chapter 1 -- Introduction Continuum mechanics is a theory of the kinematics and dynamics of material bodies in the limit in which matter can be assumed to be infinitely subdividable. Scientists have long struggled with the question as to whether matter consisted ultimately of an aggregate of indivisible ‘‘atoms’’, or whether any small parcel of material could be subdivided indefinitely into smaller and smaller pieces. As we all now realize, ordinary matter does indeed consist of atoms. However, far from being indivisible, these atoms split into a staggering array of other particles under sufficient application of energy -- indeed, much of modern physics is the study of the structure of atoms and their constituent particles. Previous to the advent of quantum mechanics and the associated experimental techniques for studying atoms, physicists tried to understand every aspect of the behavior of matter and energy in terms of continuum mechanics. For instance, attempts were made to characterize electromagnetic waves as .