| 书目名称 | Thermodynamics of Materials with Memory | | 副标题 | Theory and Applicati | | 编辑 | Giovambattista Amendola,Mauro Fabrizio,John Murrou | | 视频video | | | 概述 | This is the first comprehensive treatment in book form of free energies of materials with memory.This is the first systematic presentation in book form of a new method of analysis of the evolution equ | | 图书封面 |  | | 描述 | This monograph deals with the mechanics and thermodynamics of materials with memory, including properties of the dynamical equations that describe their evolution in time under varying loads. A work in four parts, the first is an introduction to continuum mechanics, including classical fluid mechanics, linear and non-linear elasticity. The second part considers continuum thermodynamics and its use to derive constitutive equations of materials with memory, including viscoelastic solids, fluids, heat conductors and some examples of non-simple materials. In the third part, free energies for materials with linear memory constitutive relations are discussed. The concept of a minimal state is introduced. Explicit formulae are presented for the minimum and related free energies. The final part deals with existence, uniqueness, and stability results for the integrodifferential equations describing the dynamical evolution of viscoelastic materials, including a new approach based on minimal states rather than histories. There are also chapters on the controllability of thermoelastic systems with memory, the Saint-Venant problem for viscoelastic materials and on the theory of inverse problem | | 出版日期 | Book 2021Latest edition | | 关键词 | Continuum Thermodynamics; Thermoelectromagnetism; Fading memory; Free energy; Minimal state; Nonlocal mat | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-030-80534-0 | | isbn_softcover | 978-3-030-80536-4 | | isbn_ebook | 978-3-030-80534-0 | | copyright | Springer Nature Switzerland AG 2021 |
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发表于 2025-3-21 17:38:41
