Continuum mechanics with Eulerian formulations of constitutive equations /
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Author / Creator: | Rubin, M. B. |
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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 |
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100 | 1 | |a Rubin, M. B. |0 http://id.loc.gov/authorities/names/n00012310 | |
245 | 1 | 0 | |a Continuum mechanics with Eulerian formulations of constitutive equations / |c M.B. Rubin. |
264 | 1 | |a Cham : |b Springer, |c 2021. | |
300 | |a 1 online resource (284 pages) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file | ||
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490 | 1 | |a Solid Mechanics and Its Applications ; |v v. 265 | |
504 | |a Includes bibliographical references and index. | ||
588 | 0 | |a Print version record. | |
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. | |
776 | 0 | 8 | |i Print version: |a Rubin, M.B. |t Continuum Mechanics with Eulerian Formulations of Constitutive Equations. |d Cham : Springer International Publishing AG, ©2020 |z 9783030577759 |
830 | 0 | |a Solid mechanics and its applications ; |v v. 265. |0 http://id.loc.gov/authorities/names/n90638234 | |
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928 | |t Library of Congress classification |a QA808.2 |l Online |c UC-FullText |u https://link.springer.com/10.1007/978-3-030-57776-6 |z Springer Nature |g ebooks |i 12624823 |