{"product_id":"continuum-thermodynamics-paolo-podio-guidugli-9783030111564","title":"Continuum Thermodynamics","description":"\u003cp\u003eThis book deals with an important topic in rational continuum physics, thermodynamics.Although slim, it is fairly well self-contained; some basic notions in continuum mechanics, which a well-intentioned reader should but may not be familiar with, are collected in a final appendix.\u003c\/p\u003e \u003cp\u003eModern continuum thermodynamics is a field theory devised to handle a large class of processes that typically are neither spatially homogeneous nor sequences of equilibrium states. The most basic chapter addresses the continuum theory of \u003ci\u003eheat conduction\u003c\/i\u003e, in which the constitutive laws furnish a mathematical characterization of the macroscopic manifestations of those fluctuations in position and velocity of the microscopic matter constituents that statistical thermodynamics considers collectively. In addition to a nonstandard exposition of the conceptual steps leading to the classical heat equation, the crucial assumption that energy and entropy inflows should be proportional is discussed and a hyperbolic version of that prototypical parabolic PDE is presented. \u003ci\u003eThermomechanics\u003c\/i\u003e comes next, a slightly more complex paradigmatic example of a field theory where microscopic and macroscopic manifestations of motion become intertwined. Finally, a \u003ci\u003evirtual power format for thermomechanics\u003c\/i\u003e is proposed, whose formulation requires that temperature is regarded formally as the time derivative of \u003ci\u003ethermal displacement\u003c\/i\u003e. It is shown that this format permits an alternative formulation of the theory of heat conduction, and a physical interpretation of the notion of thermal displacement is given.\u003c\/p\u003e\u003cp\u003eIt is addressed to mathematical modelers - or mathematical modelers to be - of continuous material bodies, be they mathematicians, physicists, or mathematically versed engineers.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Paolo Podio-Guidugli\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3030111563\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783030111564\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 03\/19\/2019\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 76\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.60lbs","brand":"Paolo Podio-Guidugli","offers":[{"title":"Hardcover","offer_id":44149082423551,"sku":"9783030111564","price":99.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_5eecc5cc-0b8e-4505-a542-3a2346ae9627.jpg?v=1688454746","url":"https:\/\/www.whiterainbookhouse.com\/products\/continuum-thermodynamics-paolo-podio-guidugli-9783030111564","provider":"WR Book House","version":"1.0","type":"link"}