{"product_id":"continuum-thermodynamics-von-paolo-podio-guidugli","title":"Continuum Thermodynamics","description":"\n                                \n                \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\n                                \n                \n                \u003cp\u003e\n                                        Modern 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 \n                    \n                    \u003ci\u003eheat conduction\u003c\/i\u003e\n                                        , 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. \n                    \n                    \u003ci\u003eThermomechanics\u003c\/i\u003e\n                                         comes next, a slightly more complex paradigmatic example of a field theory where microscopic and macroscopic manifestations of motion become intertwined. Finally, a \n                    \n                    \u003ci\u003evirtual power format for thermomechanics\u003c\/i\u003e\n                                         is proposed, whose formulation requires that temperature is regarded formally as the time derivative of \n                    \n                    \u003ci\u003ethermal displacement\u003c\/i\u003e\n                                        . 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.\n                \n                \u003c\/p\u003e\n                                \n                \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\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783030111564\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Hardcover - 9783030111564","offer_id":39522092777565,"sku":"9783030111564","price":96.29,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/79d111c7-1bdb-4bda-b917-2b9a023ee516.jpg?v=1772170533","url":"https:\/\/shop.autorenwelt.de\/en\/products\/continuum-thermodynamics-von-paolo-podio-guidugli","provider":"Autorenwelt Shop","version":"1.0","type":"link"}