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Titlebook: Mechanics and Geometry of Enriched Continua; Luis Espath Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusive licens

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发表于 2025-3-21 18:32:13 | 显示全部楼层 |阅读模式
书目名称Mechanics and Geometry of Enriched Continua
编辑Luis Espath
视频video
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
图书封面Titlebook: Mechanics and Geometry of Enriched Continua;  Luis Espath Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusive licens
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
关键词Enriched Continua; Computational Materials Science; modern continuum mechanics; transition layers; phase
版次1
doihttps://doi.org/10.1007/978-3-031-28934-7
isbn_softcover978-3-031-28936-1
isbn_ebook978-3-031-28934-7
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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978-3-031-28936-1The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Integro-Differential Machineryody ., a surface ., and an edge .. With these differential relations, we present integro-differential relations on a part ., on smooth and nonsmooth surfaces ., and on smooth and nonsmooth curves .. We conclude this chapter with the transport theorem and the mass balance equation.
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Boundary Conditionss. We consider that there may exist three types of boundaries that compose .. Here, ., ., and . are the boundaries where the natural, essential, and mixed boundary conditions are prescribed, respectively. Additionally, we assume that . where .. Lastly, the following treatment is independent of constitutive equations.
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