國立高雄大學圖資館 |

Language: English

Back to Search results for [ subject:"Computational Materials Science." ]

Mechanics and geometry of enriched continua

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mechanics and geometry of enriched continuaby Luis Espath.
Author:	Espath, Luis.
Published:	Cham :Springer International Publishing :2023.
Description:	xi, 159 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Continuum mechanics.
Online resource:	https://doi.org/10.1007/978-3-031-28934-7
ISBN:	9783031289347$q(electronic bk.)

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$q(electronic bk.)

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

190274
Continuum mechanics.

LC Class. No.: QA808.2

Dewey Class. No.: 531.7

Mechanics and geometry of enriched continua
LDR:02846nmm a2200325 a 4500 001 648914
003 DE-He213
005 20230704114733.0
006 m d
007 cr nn 008maaau
008 240116s2023 sz s 0 eng d
020 $a 9783031289347$q(electronic bk.)
020 $a 9783031289330$q(paper)
024 7 $a 10.1007/978-3-031-28934-7 $2 doi
035 $a 978-3-031-28934-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA808.2
072 7 $a PHD $2 bicssc
072 7 $a SCI041000 $2 bisacsh
072 7 $a PHD $2 thema
082 0 4 $a 531.7 $2 23
090 $a QA808.2 $b .E77 2023
100 1 $a Espath, Luis. $3 958806
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 190274
650 0 $a Continuum mechanics $x Mathematics. $3 376796
650 1 4 $a Continuum Mechanics. $3 913390
650 2 4 $a Computational Physics and Simulations. $3 913439
650 2 4 $a Thermodynamics. $3 183038
650 2 4 $a Computational Materials Science. $3 924046
650 2 4 $a Optical Materials. $3 913121
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-28934-7
950 $a Physics and Astronomy (SpringerNature-11651)

based on 0 review(s)

Multimedia

Multimedia file
https://doi.org/10.1007/978-3-031-28934-7

Reviews

Add a review and share your thoughts with other readers

Export

pickup library