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Continuum mechanics with Eulerian fo...

Rubin, M. B.

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Continuum mechanics with Eulerian formulations of constitutive equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Continuum mechanics with Eulerian formulations of constitutive equations/ by M. B. Rubin.
Author:	Rubin, M. B.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xiii, 277 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Basic tensor analysis -- Kinematics -- Balance laws for the purely mechanical theory -- Purely mechanical constitutive equations -- Thermomechanical Theory -- Eigenvalues, Eigenvectors, and Principal Invariants of a Tensor -- Consequences of Continuity -- Lagrange Multipliers -- Stationary Values of Normal And Shear Stresses -- Isotropic Tensors -- An introduction to tensors with respect to curvilinear coordinates -- Summary of tensor operations in specific coordinate systems.
Contained By:	Springer Nature eBook
Subject:	Continuum mechanics - Mathematics. -
Online resource:	https://doi.org/10.1007/978-3-030-57776-6
ISBN:	9783030577766

Continuum mechanics with Eulerian formulations of constitutive equations
Rubin, M. B.

Continuum mechanics with Eulerian formulations of constitutive equations[electronic resource] /by M. B. Rubin. - Cham :Springer International Publishing :2021. - xiii, 277 p. :ill., digital ;24 cm. - Solid mechanics and its applications,v.2650925-0042 ;. - Solid mechanics and its applications ;v.265..

Introduction -- Basic tensor analysis -- Kinematics -- Balance laws for the purely mechanical theory -- Purely mechanical constitutive equations -- Thermomechanical Theory -- Eigenvalues, Eigenvectors, and Principal Invariants of a Tensor -- Consequences of Continuity -- Lagrange Multipliers -- Stationary Values of Normal And Shear Stresses -- Isotropic Tensors -- An introduction to tensors with respect to curvilinear coordinates -- Summary of tensor operations in specific coordinate systems.

This book focuses on the need for an Eulerian formulation of constitutive equations. After introducing tensor analysis using both index and direct notation, nonlinear kinematics of continua is presented. The balance laws of the purely mechanical theory are discussed along with restrictions on constitutive equations due to superposed rigid body motion. The balance laws of the thermomechanical theory are discussed and specific constitutive equations are presented for: hyperelastic materials; elastic-inelastic materials; thermoelastic-inelastic materials with application to shock waves; thermoelastic-inelastic porous materials; and thermoelastic-inelastic growing biological tissues.

ISBN: 9783030577766

Standard No.: 10.1007/978-3-030-57776-6doiSubjects--Topical Terms:

1015241
Continuum mechanics
--Mathematics.

LC Class. No.: QA808.2 / .R83 2021

Dewey Class. No.: 531.7

Continuum mechanics with Eulerian formulations of constitutive equations
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100 1 $a Rubin, M. B. $3 3486986
245 1 0 $a Continuum mechanics with Eulerian formulations of constitutive equations $h [electronic resource] / $c by M. B. Rubin.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xiii, 277 p. : $b ill., digital ; $c 24 cm.
490 1 $a Solid mechanics and its applications, $x 0925-0042 ; $v v.265
505 0 $a Introduction -- Basic tensor analysis -- Kinematics -- Balance laws for the purely mechanical theory -- Purely mechanical constitutive equations -- Thermomechanical Theory -- Eigenvalues, Eigenvectors, and Principal Invariants of a Tensor -- Consequences of Continuity -- Lagrange Multipliers -- Stationary Values of Normal And Shear Stresses -- Isotropic Tensors -- An introduction to tensors with respect to curvilinear coordinates -- Summary of tensor operations in specific coordinate systems.
520 $a This book focuses on the need for an Eulerian formulation of constitutive equations. After introducing tensor analysis using both index and direct notation, nonlinear kinematics of continua is presented. The balance laws of the purely mechanical theory are discussed along with restrictions on constitutive equations due to superposed rigid body motion. The balance laws of the thermomechanical theory are discussed and specific constitutive equations are presented for: hyperelastic materials; elastic-inelastic materials; thermoelastic-inelastic materials with application to shock waves; thermoelastic-inelastic porous materials; and thermoelastic-inelastic growing biological tissues.
650 0 $a Continuum mechanics $x Mathematics. $3 1015241
650 0 $a Eulerian graph theory. $3 703734
650 1 4 $a Solid Mechanics. $3 3381524
650 2 4 $a Classical Mechanics. $3 3216970
650 2 4 $a Biomechanics. $3 548685
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Solid mechanics and its applications ; $v v.265. $3 3486987
856 4 0 $u https://doi.org/10.1007/978-3-030-57776-6
950 $a Engineering (SpringerNature-11647)