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|a 10.1007/978-1-4612-0093-2
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|a Slaughter, William S.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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| 245 |
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|a The Linearized Theory of Elasticity
|h [electronic resource] /
|c by William S. Slaughter.
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| 250 |
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|a 1st ed. 2002.
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| 264 |
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1 |
|a Boston, MA :
|b Birkhäuser Boston :
|b Imprint: Birkhäuser,
|c 2002.
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| 300 |
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|a XXV, 543 p.
|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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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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| 347 |
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|a text file
|b PDF
|2 rda
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| 490 |
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|a Springer eBook Collection
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|a 1 Review of Mechanics of Materials -- 1.1 Forces and Stress -- 1.2 Stress and Strain -- 1.3 Torsion of Circular Cylinders -- 1.4 Bending of Prismatic Beams -- Problems -- 2 Mathematical Preliminaries -- 2.1 Scalars and Vectors -- 2.2 Indicial Notation -- 2.3 Tensors -- 2.4 Tensor Calculus -- 2.5 Cylindrical and Spherical Coordinates -- Problems -- 3 Kinematics -- 3.1 Configurations -- 3.2 Strain Tensors: Referential Formulation -- 3.3 Strain Tensors: Spatial Formulation -- 3.4 Kinematic Linearization -- 3.5 Cylindrical and Spherical Coordinates -- Problems -- 4 Forces and Stress -- 4.1 Stress Tensors: Referential Formulation -- 4.2 Stress Tensors: Spatial Formulation -- 4.3 Kinematic Linearization -- 4.4 Cylindrical and Spherical Coordinates -- Problems -- 5 Constitutive Equations -- 5.1 Elasticity -- 5.2 Constitutive Linearization -- 5.3 Material Symmetry -- 5.4 Isotropic Materials -- 5.5 Cylindrical and Spherical Coordinates -- Problems -- 6 Linearized Elasticity Problems -- 6.1 Field Equations -- 6.2 Boundary Conditions -- 6.3 Useful Consequences of Linearity -- 6.4 Solution Methods -- Problems -- 7 Two-Dimensional Problems -- 7.1 Antiplane Strain -- 7.2 Plane Strain -- 7.3 Plane Stress -- 7.4 Airy Stress Function -- Problems -- 8 Torsion of Noncircular Cylinders -- 8.1 Warping Function -- 8.2 Prandtl Stress Function -- Problems -- 9 Three-Dimensional Problems -- 9.1 Field Theory Results -- 9.2 Potentials in Elasticity -- 9.3 Dislocation Surface -- 9.4 Eshelby’s Inclusion Problems -- Problems -- 10 Variational Methods -- 10.1 Calculus of Variations -- 10.2 Energy Theorems in Elasticity -- 10.3 Approximate Solutions -- Problems -- 11 Complex Variable Methods -- 11.1 Functions of a Complex Variable -- 11.2 Antiplane Strain -- 11.3 Plane Strain/Stress -- Problems -- Appendix: General Curvilinear Coordinates -- A.l General Vector Bases -- A.1.1 Covariant and Contravariant Components -- A.1.2 Reciprocal Bases -- A.l.3 Higher-Order Tensors -- A.2 Curvilinear Coordinates -- A.2.1 Cartesian Coordinates -- A.2.2 Cylindrical Coordinates -- A.2.3 Spherical Coordinates -- A.2.4 Metric Tensor in a Natural Vector Basis -- A.2.5 Transformation Rule for Change of Coordinates -- A.3 Tensor Calculus -- A.3.l Gradient -- References.
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| 520 |
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|a This book is derived from notes used in teaching a first-year graduate-level course in elasticity in the Department of Mechanical Engineering at the University of Pittsburgh. This is a modern treatment of the linearized theory of elasticity, which is presented as a specialization of the general theory of continuum mechanics. It includes a comprehensive introduction to tensor analysis, a rigorous development of the governing field equations with an emphasis on recognizing the assumptions and approximations in herent in the linearized theory, specification of boundary conditions, and a survey of solution methods for important classes of problems. Two- and three-dimensional problems, torsion of noncircular cylinders, variational methods, and complex variable methods are covered. This book is intended as the text for a first-year graduate course in me chanical or civil engineering. Sufficient depth is provided such that the text can be used without a prerequisite course in continuum mechanics, and the material is presented in such a way as to prepare students for subsequent courses in nonlinear elasticity, inelasticity, and fracture mechanics. Alter natively, for a course that is preceded by a course in continuum mechanics, there is enough additional content for a full semester of linearized elasticity.
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| 590 |
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|a Loaded electronically.
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| 590 |
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|a Electronic access restricted to members of the Holy Cross Community.
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| 650 |
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0 |
|a Mechanics.
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| 650 |
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|a Mechanics, Applied.
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| 650 |
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|a Mechanical engineering.
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| 650 |
|
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|a Applied mathematics.
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| 650 |
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|a Engineering mathematics.
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| 690 |
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|a Electronic resources (E-books)
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
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|t Springer eBooks
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| 830 |
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|a Springer eBook Collection.
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| 856 |
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|u https://holycross.idm.oclc.org/login?auth=cas&url=https://doi.org/10.1007/978-1-4612-0093-2
|3 Click to view e-book
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