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|a 0080875416
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|z (OCoLC)808733756
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| 037 |
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|a 129372:129623
|b Elsevier Science & Technology
|n http://www.sciencedirect.com
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|a QA931
|b .C59 1988eb
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|a TXAM
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| 100 |
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|a Ciarlet, Philippe G.
|1 https://id.oclc.org/worldcat/entity/E39PBJfh43CjH3HPGJrXJJXjmd
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| 245 |
1 |
0 |
|a Mathematical elasticity.
|n Volume I,
|p Three-dimensional elasticity /
|c Philippe G. Ciarlet.
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| 246 |
3 |
0 |
|a Three-dimensional elasticity
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| 260 |
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|a Amsterdam ;
|a New York :
|b North-Holland ;
|a New York, N.Y., U.S.A. :
|b Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
|c 1988.
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| 300 |
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|a 1 online resource :
|b illustrations
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a Studies in mathematics and its applications ;
|v v. 20
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| 520 |
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|a This volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two competing mathematical models of three-dimensional elasticity, together with a mathematical analysis of these models. The book is as self-contained as possible.
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| 504 |
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|a Includes bibliographical references and indexes.
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| 588 |
0 |
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|a Print version record.
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| 505 |
0 |
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|a Front Cover; Studies in Mathematics and Its Applications; Copyright Page; Contents; General plan; Preface; Main Notation, Definitions, and Formulas; PART A: DESCRIPTION OF THREE-DIMENSIONAL ELASTICITY; Chapter 1. Geometrical, and other preliminaries; Introduction; 1.1. The cofactor matrix; 1.2. The Frèchet derivative; 1.3. Higher-order derivatives; 1.4. Deformations in R3; 1.5. Volume element in the deformed configuration; 1.6. Surface integrals; Green's formulas; 1.7. The Piola transform; area element in the deformed configuration; 1.8. Length element in the deformed configuration
|
| 505 |
8 |
|
|a Strain tensorsExercises; Chapter 2. The equations of equilibrium and the principle of virtual work; Introduction; 2.1. Applied forces; 2.2. The stress principle of Euler and Cauchy; 2.3. Cauchy's theorem; the Cauchy stress tensor; 2.4. The equations of equilibrium and the principle of virtual work in the deformed configuration; 2.5. The Piola-Kirchhoff stress tensors; 2.6. The equations of equilibrium and the principle of virtual work in the reference configuration; 2.7. Examples of applied forces; conservative forces; Exercises
|
| 505 |
8 |
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|a Chapter 3. Elastic materials and their constitutive equationsIntroduction; 3.1. Elastic materials; 3.2. The polar factorization and the singular values of a matrix; 3.3. Material frame-indifference; 3.4. Isotropic elastic materials; 3.5. Principal invariants of a matrix of order three; 3.6. The response function of an isotropic elastic material; 3.7. The constitutive equation near the reference configuration; 3.8. The Lamè constants of a homogeneous isotropic elastic material whose reference configuration is a natural state; 3.9. St Venant-Kirchhoff materials; Exercises
|
| 505 |
8 |
|
|a Chapter 4. HyperelasticityIntroduction; 4.1. Hyperelastic materials; 4.2. Material frame-indifference for hyperelastic materials; 4.3. Isotropic hyperelastic materials; 4.4. The stored energy function of an isotropic hyperelastic material; 4.5. The stored energy function near a natural state; 4.6. Behavior of the stored energy function for large strains; 4.7. Convex sets and convex functions; 4.8. Nonconvexity of the stored energy function; 4.9. John Ball's polyconvex stored energy functions; 4.10. Examples of Ogden's and other hyperelastic materials; Exercises
|
| 505 |
8 |
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|a Chapter 5. The boundary value problems of three-dimensional elasticityIntroduction; 5.1. Displacement-traction problems; 5.2. Other examples of boundary conditions; 5.3. Unilateral boundary conditions of place in hyperelasticity; 5.4. The topological degree in Rn; 5.5. Orientation-preserving character and injectivity of mappings; 5.6. Interior injectivity, self-contact, and noninterpenetration in hyperelasticity; 5.7. Internal and external geometrical constraints on the admissible deformations; 5.8. Physical examples of nonuniqueness; 5.9. The nonlinearities in three-dimensional elasticity
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| 650 |
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0 |
|a Elasticity.
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| 650 |
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2 |
|a Elasticity
|
| 650 |
|
6 |
|a Élasticité.
|
| 650 |
|
7 |
|a SCIENCE
|x Mechanics
|x General.
|2 bisacsh
|
| 650 |
|
7 |
|a SCIENCE
|x Mechanics
|x Solids.
|2 bisacsh
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| 650 |
|
7 |
|a Elasticity
|2 fast
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| 650 |
1 |
7 |
|a Elasticiteit.
|2 gtt
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| 653 |
|
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|a Elasticity
|a Mathematics
|
| 655 |
|
7 |
|a Electronic books.
|2 local
|
| 710 |
2 |
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|a ScienceDirect (Online service)
|
| 758 |
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|i has work:
|a Three-dimensional elasticity Mathematical elasticity Volume I (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGFfTb78rgtGBmx8DmkrC3
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 776 |
0 |
8 |
|i Print version:
|z 0444702598
|z 9780444702593
|w (DLC) 87023741
|w (OCoLC)16684938
|
| 830 |
|
0 |
|a Studies in mathematics and its applications ;
|v v. 20.
|
| 856 |
4 |
0 |
|u http://proxy.library.tamu.edu/login?url=https://www.sciencedirect.com/science/bookseries/01682024/20
|z Connect to the full text of this electronic book
|t 0
|
| 955 |
|
|
|a Elsevier ScienceDirect 2026-2027
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| 994 |
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|a 92
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| 999 |
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| 952 |
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f |
|a Texas A&M University
|b College Station
|c Electronic Resources
|s www_evans
|d Available Online
|t 0
|e QA931 .C59 1988eb
|h Library of Congress classification
|
| 998 |
f |
f |
|a QA931 .C59 1988eb
|t 0
|l Available Online
|