Browse through 14,324,115 journal and book articles on ScienceDirect.com. Please note that Internet Explorer version 8.x will not be supported as of January 1, 2016. Please refer to this blog post for more information. Elsevier Store: Elasticity, 3rd Edition from Martin Sadd. ISBN-9780124104327, Ebook, Release Date: 2014. Key Features Thorough yet concise introduction to linear elasticity theory and applications Only text providing detailed solutions to problems of. New Features To purchase an electronic eBook version of this title, visit www.CourseSmart.com (ISBN 0077345843). Key Features Online Homework features selected problems from the text and algorithmically-generated problems that give the instructor a wide. A set of constitutive equations has been formulated to represent elastic-viscoplastic strain-hardening material behavior for large deformations and arbitrary loading histories. An essential feature of the formulation is that the total deformation rate is considered to be.
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Elasticity, 3rd Edition | Martin Sadd. Key Features. Thorough yet concise introduction to linear elasticity theory and applications. Only text providing detailed solutions to problems of nonhomogeneous/graded materials. New material on stress contours/lines, contact stresses, curvilinear anisotropy applications. Further and new integration of MATLAB software.
Addition of many new exercises. Comparison of elasticity solutions with elementary theory, experimental data, and numerical simulations. Online solutions manual and downloadable MATLAB code. Description. Elasticity: Theory, Applications, and Numerics, Third Edition, continues its market- leading tradition of concisely presenting and developing the linear theory of elasticity, moving from solution methodologies, formulations, and strategies into applications of contemporary interest, such as fracture mechanics, anisotropic and composite materials, micromechanics, nonhomogeneous graded materials, and computational methods. Developed for a one- or two- semester graduate elasticity course, this new edition has been revised with new worked examples and exercises, and new or expanded coverage of areas such as spherical anisotropy, stress contours, isochromatics, isoclinics, and stress trajectories.
Using MATLAB software, numerical activities in the text are integrated with analytical problem solutions. These numerics aid in particular calculations, graphically present stress and displacement solutions to problems of interest, and conduct simple finite element calculations, enabling comparisons with previously studied analytical solutions. Online ancillary support materials for instructors include a solutions manual, image bank, and a set of Power. Point lecture slides. Readership. Graduate students in Mechanical, Civil, Aerospace and Materials Engineering; R& D engineers in structural and mechanical design.
Martin Sadd. Ph. D. Martin H. Sadd is Emeritus Professor of Mechanical Engineering and Applied Mechanics at the University of Rhode Island. He received his Ph. D. in mechanics from the Illinois Institute of Technology and began his academic career at Mississippi State University. In 1. 97. 9 he joined the faculty at Rhode Island and served as department chair from 1. Professor Sadd’s teaching background is in the area of solid mechanics with emphasis in elasticity, continuum mechanics, wave propagation, and computational methods. He has taught elasticity at two academic institutions, in several industries, and at a government laboratory.
Professor Sadd’s research has been in the area of computational modeling of materials under static and dynamic loading conditions using finite, boundary, and discrete element methods. Much of his work has involved micromechanical modeling of geomaterials including granular soil, rock, and concretes. He has authored more than 7.
Affiliations and Expertise. Mechanical Engineering & Applied Mechanics Department, University of Rhode Island, USAElasticity, 3rd Edition. Preface. Acknowledgments. About the Author. PART 1 Foundations and Elementary Applications. Chapter 1. Mathematical Preliminaries.
Scalar, vector, matrix, and tensor definitions. Index notation. 1. Kronecker delta and alternating symbol. Coordinate transformations. Cartesian tensors. Principal values and directions for symmetric second- order tensors.
Vector, matrix, and tensor algebra. Calculus of Cartesian tensors.
Orthogonal curvilinear coordinates. Chapter 2. Deformation. General deformations. Geometric construction of small deformation theory.
Strain transformation. Principal strains. Spherical and deviatoric strains. Strain compatibility. Curvilinear cylindrical and spherical coordinates. Chapter 3. Stress and Equilibrium. Body and surface forces.
Traction vector and stress tensor. Stress transformation. Principal stresses. Spherical, deviatoric, octahedral, and von mises stresses.
Stress distributions and contour lines. Equilibrium equations. Relations in curvilinear cylindrical and spherical coordinates. Chapter 4. Material Behavior—Linear Elastic Solids. Material characterization. Linear elastic materials—Hooke’s law. Physical meaning of elastic moduli.
Thermoelastic constitutive relations. Chapter 5. Formulation and Solution Strategies. Review of field equations. Boundary conditions and fundamental problem classifications. Stress formulation. Displacement formulation. Principle of superposition.
Saint- Venant’s principle. General solution strategies.
Chapter 6. Strain Energy and Related Principles. Strain energy. 6.
Uniqueness of the elasticity boundary- value problem. Bounds on the elastic constants. Related integral theorems. Principle of virtual work. Principles of minimum potential and complementary energy. Rayleigh–Ritz method. Chapter 7. Two- Dimensional Formulation.
Plane strain. 7. 2 Plane stress. Generalized plane stress. Antiplane strain. Airy stress function. Polar coordinate formulation. Chapter 8. Two- Dimensional Problem Solution.
Cartesian coordinate solutions using polynomials. Cartesian coordinate solutions using Fourier methods.
General solutions in polar coordinates. Example polar coordinate solutions. Simple plane contact problems. Chapter 9. Extension, Torsion, and Flexure of Elastic Cylinders.
General formulation. Extension formulation. Torsion formulation.
Torsion solutions derived from boundary equation. Torsion solutions using Fourier methods.
Torsion of cylinders with hollow sections. Torsion of circular shafts of variable diameter. Flexure formulation. Flexure problems without twist.
PART 2 Advanced Applications. Chapter 1. 0. Complex Variable Methods. Review of complex variable theory. Complex formulation of the plane elasticity problem. Resultant boundary conditions. General structure of the complex potentials.
Circular domain examples. Plane and half- plane problems. Applications using the method of conformal mapping. Applications to fracture mechanics. Westergaard method for crack analysis. Chapter 1. 1. Anisotropic Elasticity. Basic concepts. 11.
Material symmetry. Restrictions on elastic moduli. Torsion of a solid possessing a plane of material symmetry. Plane deformation problems. Applications to fracture mechanics. Curvilinear anisotropic problems. Chapter 1. 2. Thermoelasticity.
Heat conduction and the energy equation. General uncoupled formulation. Two- dimensional formulation. Displacement potential solution. Stress function formulation. Polar coordinate formulation. Radially symmetric problems.
Complex variable methods for plane problems. Chapter 1. 3. Displacement Potentials and Stress Functions. Helmholtz displacement vector representation. Lamé’s strain potential. Galerkin vector representation. Papkovich–Neuber representation.
Spherical coordinate formulations. Stress functions. Chapter 1. 4. Nonhomogeneous Elasticity. Basic concepts. 14. Plane problem of a hollow cylindrical domain under uniform pressure. Rotating disk problem. Point force on the free surface of a half- space.
Antiplane strain problems. Torsion problem. Chapter 1. Micromechanics Applications. Dislocation modeling. Singular stress states. Elasticity theory with distributed cracks.
Micropolar/couple- stress elasticity. Elasticity theory with voids. Doublet mechanics.
Chapter 1. 6. Numerical Finite and Boundary Element Methods. Basics of the finite element method. Approximating functions for two- dimensional linear triangular elements. Virtual work formulation for plane elasticity. FEM problem application. FEM code applications.
Boundary element formulation. Appendix A. Basic Field Equations in Cartesian, Cylindrical, and Spherical Coordinates.
Appendix B. Transformation of Field Variables between Cartesian, Cylindrical, and Spherical Components. Appendix C. MATLAB® Primer. Appendix D. Review of Mechanics of Materials.