Theory of Elasticity for Scientists and EngineersThis book is intended to be an introduction to elasticity theory. It is as sumed that the student, before reading this book, has had courses in me chanics (statics, dynamics) and strength of materials (mechanics of mate rials). It is written at a level for undergraduate and beginning graduate engineering students in mechanical, civil, or aerospace engineering. As a background in mathematics, readers are expected to have had courses in ad vanced calculus, linear algebra, and differential equations. Our experience in teaching elasticity theory to engineering students leads us to believe that the course must be problem-solving oriented. We believe that formulation and solution of the problems is at the heart of elasticity theory. 1 Of course orientation to problem-solving philosophy does not exclude the need to study fundamentals. By fundamentals we mean both mechanical concepts such as stress, deformation and strain, compatibility conditions, constitu tive relations, energy of deformation, and mathematical methods, such as partial differential equations, complex variable and variational methods, and numerical techniques. We are aware of many excellent books on elasticity, some of which are listed in the References. If we are to state what differentiates our book from other similar texts we could, besides the already stated problem-solving ori entation, list the following: study of deformations that are not necessarily small, selection of problems that we treat, and the use of Cartesian tensors only. |
Contents
43 | 26 |
Problems | 79 |
Problems | 109 |
Solutions for Some Problems of Elasticity Theory | 143 |
thermoelastic body | 207 |
Plane State of Strain and Plane State of Stress | 222 |
Hookes | 263 |
Other editions - View all
Theory of Elasticity for Scientists and Engineers Teodor M. Atanackovic,Ardeshir Guran Limited preview - 2000 |
Theory of Elasticity for Scientists and Engineers Teodor M. Atanackovic,Ardeshir Guran No preview available - 2000 |
Theory of Elasticity for Scientists and Engineers Teodor M. Atanackovic,Ardeshir Guran No preview available - 2012 |
Common terms and phrases
arbitrary assume axis becomes body forces boundary conditions boundary value problem C₁ Cartesian coordinate system concentrated force conclude Consider const constants corresponding cross-section cylindrical coordinate system defined deformation denote determine displacement field displacement vector e₁ elastic body elasticity theory equal to zero equilibrium configuration equilibrium equations expression Əxi Əxj F₁ Figure follows force F fundamental boundary value given Hooke's law Lamé equations linear loaded method nonlinear normal obtain plate principal psin radius resultant Saint-Venant satisfy Section shear stress shown in Fig solution solve spherical coordinate system strain tensor stress field stress function stress tensor stress vector Suppose surface symmetric theorem thermoelastic torsion u₁ unit vector waves x₁ θρ μθ σρρ ди диг дио მე მთვ მი მუ ալ աշ