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    Fracture mechanics and crack growth / Naman Recho.

    • Title:Fracture mechanics and crack growth / Naman Recho.
    •    
    • Author/Creator:Recho, Naman.
    • Published/Created:London : ISTE ; Hoboken, NJ : John Wiley & Sons, 2012.
    • Holdings

       
    • Library of Congress Subjects:Fracture mechanics.
      Materials--Fatigue.
    • Description:xxiii, 479 p. : ill. ; 24 cm.
    • Notes:Includes bibliographical references and index.
    • ISBN:9781848213067
      1848213069
    • Contents:Machine generated contents note: Chapter 1
      pt. 1 Stress Field Analysis Close to the Crack Tip
      ch. 2 Review of Continuum Mechanics and the Behavior Laws
      2.1. Kinematic equations
      2.2. Equilibrium equations in a volume element
      2.3. Behavior laws
      2.3.1. Modeling the linear elastic constitutive law
      2.3.2. Definitions
      2.3.3. Modeling of the elastic-plastic constitutive law
      2.3.4. Modeling the law of perfect plastic behavior in plane stress medium
      2.4. Energy formalism
      2.4.1. Principle of virtual power
      2.4.2. Potential energy and complementary energy
      2.4.3. Stationary energy and duality
      2.4.4. Virtual work principle - two-dimensional application
      2.5. Solution of systems of equations of continuum mechanics and constitutive behavior law
      2.5.1. Direct solution method
      2.5.2. Solution methods using stationary energies
      2.5.3. Solution with other formulation devices (Airy function)
      2.6. Review of the finite element solution
      2.6.1. displacements
      2.6.2. strains
      2.6.3. stresses
      2.6.4. Minimum potential energy principle
      2.6.5. Assembly
      ch. 3 Overview of Fracture Mechanics
      3.1. Fracture process
      3.2. Basic modes of fracture
      ch. 4 Fracture Mechanics
      4.1. Determination of stress, strain and displacement fields around a crack in a homogeneous, isotropic and linearly elastic medium
      4.1.1. Westergaard Solution
      4.1.2. William expansion solution
      4.1.3. Solution via the Mushkelishvili analysis
      4.1.4. Solution of a three-dimensional fracture problem in mode I
      4.1.5. Solution using energy approaches
      4.1.6. Plastic zone shape around a crack
      4.2. Plastic analysis around a crack in an isotropic homogeneous medium
      4.2.1. Irwin's approach
      4.2.2. Dugdale's (COD) solution
      4.2.3. Direct local approach of the stress state in a cracked elastic-plastic medium
      4.2.4. Determination of the J-integral in an elastic-plastic medium
      4.2.5. Asymptotic stress fields in an elastic-plastic medium: the Hutchinson, Rice and Rosengren solution
      4.3. Case of a heterogeneous medium: elastic multimaterials
      4.4. New modeling approach to singular fracture fields
      4.4.1. fracture Hamiltonian approach
      4.4.2. Integral equations approach
      4.4.3. Case of V-notches
      ch. 5 Introduction to the Finite Element Analysis of Cracked Structures
      5.1. Modeling of a singular field close to the crack tip
      5.1.1. Local method from a "core" element
      5.1.2. Local methods from enhanced elements
      5.2. Energetic methods
      5.2.1. Finite variation methods
      5.2.2. Contour integrals
      5.2.3. Other integral/decoupling modes
      5.3. Nonlinear behavior
      5.3.1. Case of a power law
      5.3.2. Case of a multilinear law
      5.3.3. Relationship between COD and the J-integral
      5.4. Specific finite elements for the calculation of cracked structures
      5.4.1. Barsoum elements and Pu and Hussain
      5.4.2. Verification of the strain field form
      5.5. Study of a finite elements program in a 2D linear elastic medium
      5.5.1. Definition and formulation of the conventional QUAD-12 element
      5.5.2. Definition and formulation of the conventional TRI-9 element
      5.5.3. Definition of the singular element or core around the crack front
      5.5.4. Formulation and resolution by the core element method
      5.5.5. evaluation of stress intensity factor (K) as a function of the radius (r)
      5.6. Application to the calculation of the J-integral in mixed mode
      5.6.1. Partitioning of J in JI and JII
      5.7. Different meshing fracture monitoring techniques by finite elements
      5.7.1. eXtended finite element modeling method
      5.7.2. Crack box technique (CBT)
      pt. 2 Crack Growth Criteria
      ch. 6 Crack Propagation
      6.1. Brittle fracture
      6.1.1. Stress intensity factor criteria
      6.1.2. Criterion of energy release rate, G
      6.1.3. Crack opening displacement (COD) criterion
      6.1.4. J-integral criterion
      6.1.5. R-curve criterion
      6.1.6. Feddersen's concept
      6.1.7. Two criteria approach
      6.1.8. Electro Power Research Institute Method
      6.1.9. Leguillon's criterion
      6.1.10. Tensile/shear transition criterion
      6.2. Crack extension
      6.2.1. Maximum circumferential stress criterion
      6.2.2. Minimum local strain energy density criterion
      6.2.3. Maximum energy release rate criterion
      6.2.4. Discussion of criteria
      6.3. Crack extension criterion in an elastic plastic medium
      6.3.1. Crack-extension criterion for tensile fractures
      6.3.2. Crack-extension criterion for shear fracture
      6.4. Crack-extension criterion from V-notches
      6.5. Fracture following crack growth under high-cycle number fatigue
      6.6. Crack propagation laws
      6.6.1. Closure of the crack lips
      6.6.2. Crack propagation laws in mixed mode
      6.7. Approaches used for the calculation of fatigue lifetime
      6.7.1. Standard approach by means of (S-N) curves
      6.7.2. Approach by means of linear fracture mechanics
      6.7.3. Quick calculation of the stress intensity factor in mode I
      6.8. Case of the variable amplitude loading
      6.8.1. Physical definitions of the damage law giving the fatigue resistance
      6.8.2. Physical definitions of the cumulative damage law
      6.8.3. Considered definitions of the damage and cumulative damage laws
      6.8.4. Several types of associations of damage laws to cumulative damage laws
      6.8.5. Fatigue dimensioning methodology of a mechanical component subjected to variable loading
      6.8.6. Cycle-counting methods
      6.8.7. Principle of the cumulative damage theories
      6.8.8. Miner's rule
      6.8.9. Drawbacks of Miner's rule
      6.8.10. Mean lifetime
      6.8.11. Other more complex theories
      6.9. Crack retardation effect due to overloading
      6.9.1. Phenomenon of crack closure
      6.9.2. Cyclic strain hardening of the material at the crack tip
      6.9.3. Phenomenon of residual compressive stresses at the crack tip
      6.10. "Reliability-failure" in the presence of random variables
      6.10.1. Reliability elements
      6.10.2. Damage indicating integral
      6.10.3. Case of random variable loading
      6.10.4. Damaging cycles
      6.10.5. Effect of the application sequence of solicitation
      ch. 7 Crack Growth Prediction in Elements of Steel Structures Submitted to Fatigue
      7.1. Significance and analysis by calculation of stresses around the local effect
      7.1.1. Tubular joints, geometry and position of the problem
      7.1.2. First numerical local effect (the intersection of finite elements)
      7.1.3. Second and third local effects: inertia of the weld bead and weld toe
      7.1.4. Fourth local effect (defects at the weld toe)
      7.2. Crack initiation under fatigue
      7.2.1. Crack initiation fatigue
      7.2.2. Initial crack size in angle welds
      7.3. Localization and sensitivity to rupture of cracks
      7.3.1. Definitions and position of the problem in cruciform welded joints
      7.3.2. First approach
      7.3.3. Count data and compare with the experimental results
      7.3.4. Load-carrying cruciform welded joint submitted to bending
      7.3.5. Conclusions relative to localization and sensitivity to rupture of cracks
      7.4. Extension of the initiated crack under fatigue
      7.4.1. Preliminary test campaign
      7.4.2. Crack monitoring in an elastic-plastic medium
      7.4.3. Simulation of crack propagation in mixed-mode test configurations
      ch. 8 Potential Use of Crack Propagation Laws in Fatigue Life Design
      8.1. Calculation of the crack propagation fatigue life of a welded-joint
      8.1.1. Case of a welded cruciform joint
      8.2. Study of the influence of different parameters on fatigue life
      8.3. Statistical characterization of the initial crack size according to the welding procedure
      8.3.1. Crack propagation and a proposed relationship between n and C
      8.3.2. Statistical approach and calculation of the initial crack depth, a0
      8.4. Initiation/propagation coupled models: two phase models
      8.4.1. Propagation period
      8.4.2. Initiation period
      8.4.3. S-N curve analysis from the coupled model
      8.4.4. Coupled model application in the case of variable amplitude loading
      8.5. Development of a damage model taking into account the crack growth phenomenon
      8.5.1. Numerical determination of the number of cycles according to crack length or vice versa
      8.6. Taking into account the presence of residual welding stresses on crack propagation
      8.6.1. Distribution of residual stresses
      8.6.2. Method for calculating the energy release rate, G
      8.6.3. Numerical simulation
      8.6.4. influence of welded residual stresses on crack growth rate
      8.7. Consideration of initial crack length under variable amplitude loading
      8.7.1. Method description
      8.8. Propagation of short cracks in the presence of a stress gradient
      8.8.1. Parametric study of a sample in mode I opening of a notch
      8.8.2. Application in the case of a welded joint
      8.8.3. Conclusion and future extensions
      8.9. Probabilistic approach to crack propagation fatigue life: reliability-failure
      8.9.1. Modeling of crack retardation effect due to overloading
      8.9.2. Evolution of the probability of failure
      8.9.3. Study of sensitivity in terms of reliability
      8.9.4. Inspection and reliability/failure.
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