| 書目名稱 | Mechanics and Geometry of Enriched Continua | | 編輯 | Luis Espath | | 視頻video | http://file.papertrans.cn/629/628406/628406.mp4 | | 概述 | Presents a powerful new continuum theory for enriched continua.Clear and systematic presentation including background and introduction.Takes a rigorous approach both to modelling and mathematical deri | | 圖書封面 |  | | 描述 | This monograph presents a comprehensive and rigorous new framework for the theoretical description and modelling of enriched continua. In other words, continua that exhibit more complex behaviour than their conventional counterparts and, in particular, multicomponent systems.?.It employs?gradient theories, exhibiting multiple transition layers described by phase fields. As a point of departure, we account for multiple continuum kinematic processes, including motion and various phase fields. These gradient theories arise by considering various kinematic processes which are tightly linked to the level of the arbitrariness of the?Euler–Cauchy?cuts. The surface defining the?Euler–Cauchy?cut may lose its smoothness along a curve, and the curve may also lose its smoothness at a point. Additionally, we postulate the principle of virtual power on surfaces. Then, the first and second laws of thermodynamics with the power balance provide suitable and consistent choices for the constitutive equations. Finally, the complementary balances, namely the balances on surfaces, are tailored to coincide with different parts of the boundaries of the body. These surface balances are then called environm | | 出版日期 | Book 2023 | | 關(guān)鍵詞 | Enriched Continua; Computational Materials Science; modern continuum mechanics; transition layers; phase | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-28934-7 | | isbn_softcover | 978-3-031-28936-1 | | isbn_ebook | 978-3-031-28934-7 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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