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Titlebook: Mathematical Modelling of Continuum Physics; Angelo Morro,Claudio Giorgi Book 2023 The Editor(s) (if applicable) and The Author(s), under

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書(shū)目名稱Mathematical Modelling of Continuum Physics
編輯Angelo Morro,Claudio Giorgi
視頻videohttp://file.papertrans.cn/627/626402/626402.mp4
概述Presents a unified treatment of the key points of continuum physics.Develops a new approach to hysteresis and phase transitions.Explores a wide range of constitutive models for non-simple materials
叢書(shū)名稱Modeling and Simulation in Science, Engineering and Technology
圖書(shū)封面Titlebook: Mathematical Modelling of Continuum Physics;  Angelo Morro,Claudio Giorgi Book 2023 The Editor(s) (if applicable) and The Author(s), under
描述This monograph provides a comprehensive and self-contained treatment of continuum physics, illustrating a systematic approach to the constitutive equations for wide-ranging classes of materials.? Derivations of results are detailed through careful proofs, and the contents have been developed to ensure a self-contained and consistent presentation..Part I reviews the kinematics of continuous bodies and illustrates the general setting of balance laws.? Essential preliminaries to continuum physics – such as reference and current configurations, transport relations, singular surfaces, objectivity, and objective time derivatives – are covered in detail.? A chapter on balance equations then develops the balance laws of mass, linear momentum, angular momentum, energy, and entropy, as well as the balance laws in electromagnetism..Part II is devoted to the general requirements on constitutive models, emphasizing the application of objectivity and consistency with the second law of thermodynamics.? Common models of simple materials are then reviewed, and in this framework, detailed descriptions are given of solids (thermoelastic, elastic, and dissipative) and fluids (elastic, thermoelastic, v
出版日期Book 2023
關(guān)鍵詞Continuum Mechanics; Electromagnetism of Continua; Constitutive equations; Non-simple materials; Hystere
版次1
doihttps://doi.org/10.1007/978-3-031-20814-0
isbn_softcover978-3-031-20816-4
isbn_ebook978-3-031-20814-0Series ISSN 2164-3679 Series E-ISSN 2164-3725
issn_series 2164-3679
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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978-3-031-20816-4The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Mixturesematical model, each point in the mixture may be occupied by all of the substances simultaneously. If the chemical structure of a substance changes when it enters the mixture then the mixture is said to be chemically reacting.
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2164-3679 ide range of constitutive models for non-simple materialsThis monograph provides a comprehensive and self-contained treatment of continuum physics, illustrating a systematic approach to the constitutive equations for wide-ranging classes of materials.? Derivations of results are detailed through car
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Kinematicshe description of material properties in terms of time derivatives. Transport relations are obtained for convecting (or non-convecting) sets and hence basic properties are established for the derivation of local balance equations and jump conditions for discontinuous fields.
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Balance Equationsharacter. The balance of entropy is made formal by assuming that the entropy rate, deprived of the divergence of an entropy flux and of an entropy supply, is non-negative. Next, balance equations are established for electromagnetism in deformable bodies. Jump relations are derived for balance properties across singular surfaces.
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