東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Introduction to the thermomechanics ...

Ruggeri, Tommaso.

Linked to FindBook

Google Book

Amazon

博客來

Introduction to the thermomechanics of continua and hyperbolic systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Introduction to the thermomechanics of continua and hyperbolic systems/ by Tommaso Ruggeri.
Author:	Ruggeri, Tommaso.
Published:	Cham :Springer Nature Switzerland : : 2024.,
Description:	xiv, 189 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	- Matrix Operators on Vectors -- Deformation of a Continuum -- Kinematics of a Continuum -- Forces on a Continuum and Stress Tensor -- Balance Laws in Continuum Mechanics -- Constitutive Equations -- Elasticity and Thermoelasticity -- Fluids -- Rigid Heat Conductor -- Hyperbolic Systems -- Weak Solutions and ShockWaves -- Beyond Classical Thermomechanics.
Contained By:	Springer Nature eBook
Subject:	Continuum mechanics. -
Online resource:	https://doi.org/10.1007/978-3-031-69951-1
ISBN:	9783031699511

Introduction to the thermomechanics of continua and hyperbolic systems
Ruggeri, Tommaso.

Introduction to the thermomechanics of continua and hyperbolic systems[electronic resource] /by Tommaso Ruggeri. - Cham :Springer Nature Switzerland :2024. - xiv, 189 p. :ill. (some col.), digital ;24 cm. - La matematica per il 3+2,v. 1672038-5757 ;. - La matematica per il 3+2 ;v. 167..

- Matrix Operators on Vectors -- Deformation of a Continuum -- Kinematics of a Continuum -- Forces on a Continuum and Stress Tensor -- Balance Laws in Continuum Mechanics -- Constitutive Equations -- Elasticity and Thermoelasticity -- Fluids -- Rigid Heat Conductor -- Hyperbolic Systems -- Weak Solutions and ShockWaves -- Beyond Classical Thermomechanics.

The primary aim of this book is to present a unified treatment of the thermomechanics of continua using the axiomatic approach typical of rational mechanics. While many books on continuum mechanics focus on specific types of continuous bodies, such as deformable solid bodies or fluids, this book adopts a general perspective. It presents the mathematical structure of balance laws and constitutive equations as a cohesive whole, with special attention given to the modern theory of constitutive equations. Notable principles such as the principle of material indifference and the contemporary interpretation of the principle of entropy are emphasized. This book will be beneficial not only to engineering students but also to students from other scientific disciplines where aspects of continuum mechanics are studied. It provides an opportunity to view traditionally distinct topics in a broader, interconnected context. To ensure self-consistency, the first part of the book addresses issues related to linear algebra, with a particular focus on linear operators within finite-dimensional vector spaces. The book then offers a detailed exploration of finite deformations of continua, followed by an overview of kinematics. It characterizes the various forces that can exist in a continuum, introduces the stress tensor, and presents the balance laws in both Eulerian and Lagrangian forms. Next, the modern theory of constitutive equations is defined, emphasizing the role of the general principles of material indifference and entropy as criteria for selecting physically acceptable classes of constitutive equations. The resulting field equations are specialized for various cases, including thermoelasticity, Eulerian fluids, Fourier-Navier-Stokes fluids, and rigid heat conductors. In the final part of the book, partial differential equations in continuum mechanics are discussed, with particular attention given to hyperbolic systems. The method of characteristics is introduced in both linear and nonlinear cases, and the need to expand the class of solutions by introducing weak solutions is discussed, with shock waves being a significant case. As an illustrative example of a weak solution, the Riemann problem is presented for the fluid dynamic model of vehicular traffic, where cars are initially stopped at a red light and then start moving when the light turns green.

ISBN: 9783031699511

Standard No.: 10.1007/978-3-031-69951-1doiSubjects--Topical Terms:

535472
Continuum mechanics.

LC Class. No.: QA808.2

Dewey Class. No.: 531.7

Introduction to the thermomechanics of continua and hyperbolic systems
LDR:03803nmm a2200337 a 4500 001 2375312
003 DE-He213
005 20240928131738.0
006 m d
007 cr nn 008maaau
008 241231s2024 sz s 0 eng d
020 $a 9783031699511 $q (electronic bk.)
020 $a 9783031699504 $q (paper)
024 7 $a 10.1007/978-3-031-69951-1 $2 doi
035 $a 978-3-031-69951-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA808.2
072 7 $a PHD $2 bicssc
072 7 $a SCI065000 $2 bisacsh
072 7 $a PHD $2 thema
082 0 4 $a 531.7 $2 23
090 $a QA808.2 $b .R929 2024
100 1 $a Ruggeri, Tommaso. $3 704976
245 1 0 $a Introduction to the thermomechanics of continua and hyperbolic systems $h [electronic resource] / $c by Tommaso Ruggeri.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2024.
300 $a xiv, 189 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a La matematica per il 3+2, $x 2038-5757 ; $v v. 167
505 0 $a - Matrix Operators on Vectors -- Deformation of a Continuum -- Kinematics of a Continuum -- Forces on a Continuum and Stress Tensor -- Balance Laws in Continuum Mechanics -- Constitutive Equations -- Elasticity and Thermoelasticity -- Fluids -- Rigid Heat Conductor -- Hyperbolic Systems -- Weak Solutions and ShockWaves -- Beyond Classical Thermomechanics.
520 $a The primary aim of this book is to present a unified treatment of the thermomechanics of continua using the axiomatic approach typical of rational mechanics. While many books on continuum mechanics focus on specific types of continuous bodies, such as deformable solid bodies or fluids, this book adopts a general perspective. It presents the mathematical structure of balance laws and constitutive equations as a cohesive whole, with special attention given to the modern theory of constitutive equations. Notable principles such as the principle of material indifference and the contemporary interpretation of the principle of entropy are emphasized. This book will be beneficial not only to engineering students but also to students from other scientific disciplines where aspects of continuum mechanics are studied. It provides an opportunity to view traditionally distinct topics in a broader, interconnected context. To ensure self-consistency, the first part of the book addresses issues related to linear algebra, with a particular focus on linear operators within finite-dimensional vector spaces. The book then offers a detailed exploration of finite deformations of continua, followed by an overview of kinematics. It characterizes the various forces that can exist in a continuum, introduces the stress tensor, and presents the balance laws in both Eulerian and Lagrangian forms. Next, the modern theory of constitutive equations is defined, emphasizing the role of the general principles of material indifference and entropy as criteria for selecting physically acceptable classes of constitutive equations. The resulting field equations are specialized for various cases, including thermoelasticity, Eulerian fluids, Fourier-Navier-Stokes fluids, and rigid heat conductors. In the final part of the book, partial differential equations in continuum mechanics are discussed, with particular attention given to hyperbolic systems. The method of characteristics is introduced in both linear and nonlinear cases, and the need to expand the class of solutions by introducing weak solutions is discussed, with shock waves being a significant case. As an illustrative example of a weak solution, the Riemann problem is presented for the fluid dynamic model of vehicular traffic, where cars are initially stopped at a red light and then start moving when the light turns green.
650 0 $a Continuum mechanics. $3 535472
650 1 4 $a Continuum Mechanics. $3 3538810
650 2 4 $a Mathematics. $3 515831
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a La matematica per il 3+2 ; $v v. 167. $3 3724745
856 4 0 $u https://doi.org/10.1007/978-3-031-69951-1
950 $a Mathematics and Statistics (SpringerNature-11649)