Advanced Structural Mechanics 1st Edition by Alberto Carpinteri ISBN 9781315354828 1315354829

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ISBN 10: 1315354829
ISBN 13: 9781315354828
Author: Alberto Carpinteri

Advanced Structural Mechanics 1st Edition Table of contents:

1 Plane frames

1.1 Introduction

1.2 Beam systems with axial symmetry

1.3 Beam systems with axial skew-symmetry

1.4 Beam systems with polar symmetry

1.5 Beam systems with polar skew-symmetry

1.6 Rotating-node frames

1.7 Translating-node frames

1.8 Thermal loads and imposed displacements

1.9 Frames with nonorthogonal beams

1.10 Frames loaded out of their own plane

2 Statically indeterminate beam systems Method of displacements

2.1 Introduction

2.2 Parallel-arranged bar systems

2.3 Parallel-arranged beam systems

2.4 Automatic computation of beam systems with multiple degrees of indeterminacy

2.5 Plane trusses

2.6 Plane frames

2.7 Plane gr ids

2.8 Space trusses and frames

3 Plates and shells

3.1 Introduction

3.2 Plates in flexure

3.3 Sophie Germain—s equation

3.4 Shells with double curvature

3.5 Nonsymmetrically loaded shells of revolution

3.6 Symmetrically loaded shells of revolution

3.7 Membranes and thin shells of revolution

3.8 Circular plates

3.9 Cylindrical shells

3.10 Cylindrical pressurized vessels with bottoms

3.11 Three-dimensional bodies of revolution

4 Finite element method

4.1 Introduction

4.2 Single-degree-of-freedom system

4.3 Principle of minimum total potential energy

4.4 Ritz–Galerkin method

4.5 Application of the principle of virtual work

4.6 Kinematic boundary conditions

5 Dynamics of discrete systems

5.1 Introduction

5.2 Free vibrations

5.2.1 Undamped free vibrations (c = 0)

5.2.2 Damped free vibrations (c > 0)

5.3 Harmonic loading and resonance

5.3.1 Undamped systems

5.3.2 Systems with viscous damping

5.4 Periodic loading

5.5 Impulsive loading

5.6 General dynamic loading

5.7 Nonlinear elastic systems

5.8 Elastic–perfectly plastic spring

5.9 Linear elastic systems with two or more degrees of freedom

5.10 Rayleigh ratio

5.11 Stodola–Vianello method

6 Dynamics of continuous elastic systems

6.1 Introduction

6.2 Modal analysis of deflected beams

6.3 Different boundary conditions for the single beam

6.3.1 Simply supported beam

6.3.2 Cantilever beam

6.3.3 Rope in tension

6.3.4 Unconstrained beam

6.3.5 Double clamped beam

6.3.6 Clamped–hinged beam

6.4 Continuous beam on three or more supports

6.5 Method of approximation of rayleigh–ritz

6.6 Dynamics of beam systems

6.7 Forced oscillations of shear-type multistory frames

6.8 Vibrating membranes

6.9 Vibrating plates

6.10 Dynamics of shells and three-dimensional elastic solids

6.11 Dynamics of elastic solids with linear viscous damping

7 Buckling instability in slender, thin, and shallow structures

7.1 Introduction

7.2 Discrete mechanical systems with one degree of freedom

7.3 Discrete mechanical systems with two or more degrees of freedom

7.4 Rectilinear elastic beams with different constraint conditions

7.5 Framed beam systems

7.6 Rings and cylindrical shells subjected to external pressure

7.7 Lateral torsional buckling

7.8 Plates subjected to compression

7.9 Shallow arches and shells subjected to vertical loading: interaction between buckling and snap-through

7.10 Trussed vaults and domes: the case of progressive snap-through

8 Long-span structures: Dynamics and buckling

8.1 Introduction

8.2 Influence of dead loads on natural frequencies

8.3 Discrete systems with one or two degrees of freedom

8.4 Flexural oscillations of beams subjected to compression axial loads

8.5 Oscillations and lateral torsional buckling of deep beams

8.6 Finite element formulation for beams, plates, and shells

8.7 Nonconservative loading and flutter

8.8 Wind effects on long-span suspension or cable-stayed bridges

8.9 Torsional divergence

8.10 Galloping

8.11 Flutter

9 High -rise structures Statics and dynamics

9.1 Introduction

9.2 Parallel-arranged system of vertical cantilevers: general algorithm

9.3 Vlasov’s theory of thin-walled open-section beams in torsion

9.4 Capurso’s method: lateral loading distribution between the thin-walled open-section vertical cantilevers of a tall building

9.5 Diagonalization of Vlasov’s equations

9.6 Dynamic analysis of tall buildings

9.7 Numerical example

10 Theory of plasticity

10.1 Introduction

10.2 Elastic–plastic flexure

10.3 Incremental plastic analysis of beam systems

10.4 Law of normality of incremental plastic deformation and of convexity of plastic limit surface

10.5 Theorems of plastic limit analysis

10.5.1 Theorem of maximum dissipated energy

10.5.2 Static theorem (upper bound theorem)

10.5.3 Kinematic theorem (lower bound theorem)

10.5.4 Mixed theorem

10.5.5 Theorem of addition of material

10.6 Beam systems loaded proportionally by concentrated forces

10.7 Beam systems loaded proportionally by distributed forces

10.8 Nonproportionally loaded beam systems

10.9 Cyclic loading and shake-down

10.10 Deflected circular plates

10.11 Deflected rectangular plates

11 Plane stress and plane strain conditions

11.1 Introduction

11.2 Plane stress condition

11.3 Plane strain condition

11.4 Deep beam

11.5 Thick-walled cylinder

11.6 Circular hole in a plate subjected to tension

11.7 Concentrated force acting on the edge of an elastic half-plane

11.8 Analytical functions

11.9 Kolosoff–Muskhelishvili method

11.10 Elliptical hole in a plate subjected to tension

12 Mechanics of fracture

12.1 Introduction

12.2 Griffith’s energy criterion

12.3 Westergaard’s method

12.4 Mode II and mixed modes

12.5 Williams’ method

12.6 Relation between energy and stress treatments: Irwin’s theorem

12.7 Crack branching criterion in mixed mode condition

12.8 Plastic zone at the crack tip

12.9 Size effects and ductile–brittle transition

12.10 Cohesive crack model and snap-back instability

12.11 Eccentric compression on a cracked beam: opening versus closing of the crack

12.12 Stability of fracturing process in reinforced concrete beams: the bridged crack model

References

Appendix I

Appendix II

Appendix III

Appendix IV

Appendix V

Appendix VI

Appendix VII

Index

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