عنوان

The Linearized Theory of Elasticity

شابک

9781461200932

شابک

9781461266082

شماره

b402631

عنوان اصلي

The Linearized Theory of Elasticity

نام عام مواد

[Book]

نام نخستين پديدآور

by William S. Slaughter.

محل نشرو پخش و غیره

Boston, MA :

نام ناشر، پخش کننده و غيره

Imprint: Birkhäuser,

تاریخ نشرو بخش و غیره

2002.

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

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.

شماره استاندارد بين المللي کتاب و موسيقي

9781461266082

عنوان

Springer eBooks

موضوع مستند نشده

Materials.

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

Mechanics, applied.

مستند نام اشخاص تاييد نشده

Slaughter, William S.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190307155000.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y