Numerical and experimental study of the plastic zone in cracked specimens

Analysis of the plastic zone near the crack tips under the uniaxial tension using ordinary state‐based peridynamics

“…By using Griffith's plate complete linear elastic stress field, Sousa et al improved estimates of plastic zone around crack tip. Camas et al presented a novel methodology combining the strengths of both finite element modelling and image correlation. All these researches are mainly based on the Tresca, Mises, and the unified strength criteria; these criteria are available for the metal materials.…”

“…By using Griffith's plate complete linear elastic stress field, Sousa et al 17 improved Nomenclature: T, force state; t, the scalar state of force state; M, the direction vector state of force state; b(x, t), body force; k, the bulk modulus; θ, the volumetric strain; ω, the influence function; W, energy function; E, the scalar deviatoric force state; λ, consistency parameter; e de , elastic part of deviatoric extension state; e dp , plastic part of deviatoric extension state; γ, shear strain; ϕ, internal friction angle; K I , stress intensity factor for mode I cracks; σ e , effective stress; ν, Poisson's ratio; c, cohesive force estimates of plastic zone around crack tip. Camas et al 18 presented a novel methodology combining the strengths of both finite element modelling and image correlation. All these researches are mainly based on the Tresca, Mises, and the unified strength criteria; these criteria are available for the metal materials.…”

Evaluation of new multiaxial damage parameters on low carbon steel

“…This has led to the large amount of knowledge generated in this area, both from experimental [1,2] and numerical [3,4] points of view. Advanced experiments have allowed a number of features to be characterized, including surface and bulk behavior [5,6], crack-closure mechanisms [7,8], evolution of the process zone thru the thickness [9,10], crack branching processes [11], effect of variable amplitude loads such as crack acceleration [12] O or retardation [13,14] or mixed-mode local changes in the volume [15]. However, uniaxial approach does not represent the real world scenario and computation of fatigue life thru these approach often results either in under prediction or over prediction of fatigue life for the machine component.…”

Williams expansion-based approximation of the stress field in an Al 2024 body with a crack from optical measurements

“…Coefficients An are functions of relative crack length  = a/W and need to be calculated numerically in most cases. The origin of the coordinates was positioned at the crack tip [16] and no crack front curvature was considered [17]. It is worth mentioning that no bulk effects were taken into account in this study [18].…”