Continuum mechanics with Eulerian formulations of constitutive equations /

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Bibliographic Details
Author / Creator:Rubin, M. B.
Imprint:Cham : Springer, 2021.
Description:1 online resource (284 pages)
Language:English
Series:Solid Mechanics and Its Applications ; v. 265
Solid mechanics and its applications ; v. 265.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12609215
Hidden Bibliographic Details
ISBN:9783030577766
3030577767
9783030577759
3030577759
Digital file characteristics:text file
PDF
Language / Script:Current copyright fee: GBP19.00 42\0.
Notes:Includes bibliographical references and index.
Print version record.
Summary: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.
Other form:Print version: Rubin, M.B. Continuum Mechanics with Eulerian Formulations of Constitutive Equations. Cham : Springer International Publishing AG, ©2020 9783030577759
Standard no.:10.1007/978-3-030-57776-6

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490 1 |a Solid Mechanics and Its Applications ;  |v v. 265 
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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. 
540 |a Current copyright fee: GBP19.00  |c 42\0.  |5 Uk 
650 0 |a Continuum mechanics  |x Mathematics. 
650 0 |a Eulerian graph theory.  |0 http://id.loc.gov/authorities/subjects/sh90001786 
650 7 |a Eulerian graph theory.  |2 fast  |0 (OCoLC)fst00916472 
650 7 |a Biomechanics.  |2 fast  |0 (OCoLC)fst00832558 
650 7 |a Mechanics.  |2 fast  |0 (OCoLC)fst01013446 
650 7 |a Mechanics, Applied.  |2 fast  |0 (OCoLC)fst01013489 
655 4 |a Electronic books. 
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