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Mechanics and geometry of enriched c...

Espath, Luis.

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Mechanics and geometry of enriched continua

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mechanics and geometry of enriched continua/ by Luis Espath.
Author:	Espath, Luis.
Published:	Cham :Springer International Publishing : : 2023.,
Description:	xi, 159 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Integro-differential machinery -- Power balance, fields and hyperfields -- Complementary balances, jump conditions and couple fields -- Thermodynamics -- Coupling -- Environmental surface balances and imbalances -- Boundary conditions -- Final remarks.
Contained By:	Springer Nature eBook
Subject:	Continuum mechanics. -
Online resource:	https://doi.org/10.1007/978-3-031-28934-7
ISBN:	9783031289347

Mechanics and geometry of enriched continua
Espath, Luis.

Mechanics and geometry of enriched continua[electronic resource] /by Luis Espath. - Cham :Springer International Publishing :2023. - xi, 159 p. :ill., digital ;24 cm.

Introduction -- Integro-differential machinery -- Power balance, fields and hyperfields -- Complementary balances, jump conditions and couple fields -- Thermodynamics -- Coupling -- Environmental surface balances and imbalances -- Boundary conditions -- Final remarks.

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 environmental surface balances and aid in determining suitable and consistent boundary conditions. Ultimately, the environmental surface power balance is relaxed to yield an environmental surface imbalance of powers, rendering a more general type of boundary condition. A detailed introduction sets the scene for the mathematical chapters that follow, ensuring that graduate students and newcomers can profit from the material presented.

ISBN: 9783031289347

Standard No.: 10.1007/978-3-031-28934-7doiSubjects--Topical Terms:

535472
Continuum mechanics.

LC Class. No.: QA808.2

Dewey Class. No.: 531.7

Mechanics and geometry of enriched continua
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100 1 $a Espath, Luis. $3 3663965
245 1 0 $a Mechanics and geometry of enriched continua $h [electronic resource] / $c by Luis Espath.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2023.
300 $a xi, 159 p. : $b ill., digital ; $c 24 cm.
505 0 $a Introduction -- Integro-differential machinery -- Power balance, fields and hyperfields -- Complementary balances, jump conditions and couple fields -- Thermodynamics -- Coupling -- Environmental surface balances and imbalances -- Boundary conditions -- Final remarks.
520 $a 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 environmental surface balances and aid in determining suitable and consistent boundary conditions. Ultimately, the environmental surface power balance is relaxed to yield an environmental surface imbalance of powers, rendering a more general type of boundary condition. A detailed introduction sets the scene for the mathematical chapters that follow, ensuring that graduate students and newcomers can profit from the material presented.
650 0 $a Continuum mechanics. $3 535472
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650 2 4 $a Computational Physics and Simulations. $3 3538874
650 2 4 $a Thermodynamics. $3 517304
650 2 4 $a Computational Materials Science. $3 3594455
650 2 4 $a Optical Materials. $3 3538499
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