Cargando…
Stability of structures : elastic, inelastic, fracture and damage theories /
A crucial element of structural and continuum mechanics, stability theory has limitless applications in civil, mechanical, aerospace, naval and nuclear engineering. This text of unparalleled scope presents a comprehensive exposition of the principles and applications of stability analysis. It has be...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Hackensack, NJ :
World Scientific,
2010.
|
| Edición: | World Scientific ed. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1. Buckling of elastic columns by equilibrium analysis. 1.1. Theory of bending. 1.2 Euler load, adjacent equilibrium, and bifurcation. 1.3. Differential equations of beam-columns. 1.4. Critical loads of perfect columns with various end restraints. 1.5. Imperfect columns and the Southwell plot. 1.6. Code specifications for beam-columns. 1.7. Effect of shear and sandwich beams. 1.8. Pressurized pipes and prestressed columns. 1.9. Large deflections. 1.10. Spatial buckling of beams under torque and axial force
- 2. Buckling of elastic frames by equilibrium analysis. 2.1. Stiffness and flexibility matrices of beam-columns. 2.2. Critical loads of frames and continuous beams. 2.3. Buckling as a matrix eigenvalue problem and use of finite elements. 2.4. Large regular frames. 2.5. Postcritical reserve in redundant trusses. 2.6. Postcritical behavior of frames. 2.7. Built-up columns and regular frames as columns with shear. 2.8. High arches. 2.9. Long-wave buckling of regular frames. 2.10. Continuum approximation for large regular frames
- 3. Dynamic analysis of stability. 3.1. Vibration of columns or frames and divergence. 3.2. Nonconservative loads and flutter. 3.3. Pulsating loads and parametric resonance. 3.4. Other types of dynamic loads. 3.5. Definition of stability. 3.6. Theorems of Lagrange-Dirichlet and of Liapunov. 3.7. Stability criteria for dynamic systems. 3.8. Stability of continuous elastic systems. 3.9. Nonlinear oscillations and chaos
- 4. Energy methods. 4.1. Positive-definite matrices, eigenvalues, and eigenvectors. 4.2. Potential energy for discrete elastic systems. 4.3. Bifurcation buckling at small deflections. 4.4. Snapthrough and flat arches. 4.5. Large-deflection postcritical behavior and types of bifurcation. 4.6. Koiter's theory, imperfection sensitivity, and interaction of modes. 4.7. Catastrophe theory and breakdown of symmetry. 4.8. Snapdown at displacement-controlled loading. 4.9. Incremental work criterion at equilibrium displacements.
- 5. Energy analysis of continuous structures and approximate methods. 5.1. Indirect variational method and Euler equation. 5.2. Beam on elastic foundation. 5.3. Rayleigh quotient. 5.4. Timoshenko quotient and relations between various bounds. 5.5. Bound approximation for columns, frames, and high arches. 5.6. Rayleigh-Ritz variational method. 5.7. Galerkin variational method. 5.8. Method of successive approximations and lower bounds. 5.9. Nonlinear problems; large deflections of columns
- 6. Thin-walled beams. 6.1. Potential energy and differential equations. 6.2. Axial-torsional buckling of columms. 6.3. Lateral buckling of beams and arches. 6.4. Beams of arbitrary open cross section. 6.5. Large deflections. 6.6. Box girders
- 7. Plates and shells. 7.1. Classical plate theory. 7.2. Differential equation and strain energy. 7.3. Buckling of rectangular plates. 7.4. Large deflections and postcritical reserve of plates. 7.5. Axisymmetric buckling of cylindrical shells. 7.6. Shallow or quasi-shallow shells. 7.7. Nonlinear analysis of shell buckling and imperfections. 7.8. Sandwich plates and shells
- 8. Elastoplastic buckling. 8.1. Perfect columns or structures and Shanley's bifurcation. 8.2. Imperfect columns and structures. 8.3. Effect of residual stresses. 8.4. Metal columns and structures : Design and code specifications. 8.5. Concrete columns and structures : Design and code specifications. 8.6. Perfectly plastic large-deflection buckling, impact, and blast. 8.7. Geometric tensile instability, localization, and necking.
- 9. Creep buckling. 9.1. Viscoelastic stress-strain relations. 9.2. Viscoelastic buckling. 9.3. Viscoplastic buckling. 9.4. Buckling of aging viscoelastic structures. 9.5. Effect of creep deflection on concrete column strength. 9.6. Nonlinear creep and long-time strength of concrete structures. 9.7. Creep buckling at finite deflections
- 10. Stability of inelastic structures, bifurcation and thermodynamic basis. 10.1. Thermodynamic criteria of stable state. 10.2. Thermodynamic criteria of stable path. 10.3. Application to elastoplastic columns and broader implications. 10.4. Critical states of stability and bifurcation. 10.5. Stability at infinitesimal loading cycles. 10.6. Drucker's and Il'yushin's postulates for stable materials. 10.7. Stability of frictional materials and structures
- 11. Three-dimensional continuum instabilities and effects of finite strain tensor. 11.1. Finite strain. 11.2. Stresses, work, and equilibrium at finite strain. 11.3. Incremental equilibrium and objective stress rates. 11.4. Tangential moduli at large initial stress. 11.5. Stable states and paths for multidimensional continuous bodies. 11.6. Column or plate with shear : Finite-strain effect. 11.7. Surface buckling and internal buckling of anisotropic solids. 11.8. Consistent geometric stiffness matrix of finite elements. 11.9. Buckling of curved fibers in composites
- 12. Fracture as a stability problem. 12.1. Linear elastic fracture mechanics. 12.2. Nonlinear fracture mechanics and size effect. 12.3. Crack stability criterion and R-curve. 12.4. Snapback instability of a crack and ligament tearing. 12.5. Stable states and stable paths of interacting cracks. 12.6. Crack spacing
- 13. Damage and localization instabilities. 13.1. Wave in strain-softening materials. 13.2. Series-coupling model for localization due to softening. 13.3. Localization of softening damage into planar bands. 13.4. Localization of softening damage into ellipsoidal regions. 13.5. Localization of softening damage into spherical or circular regions. 13.6. Localization in beams and softening hinges. 13.7. Friction : Static and dynamic. 13.8. Bifurcations due to interaction of softening damage zones. 13.9. Size effect, mesh sensitivity, and energy criterion for crack bands. 13.10. Nonlocal continuum and its stability. 13.11. Constitutive equations for strain softening.