Abstract
AbstractThe peak stress method (PSM) is an engineering, finite element (FE)‐oriented method to rapidly estimate the notch stress intensity factors by using the singular linear elastic peak stresses calculated from coarse FE analyses. The average element size adopted to generate the mesh pattern can be chosen arbitrarily within a given range.Originally, the PSM has been calibrated under pure mode I and pure mode II loadings by means of Ansys FE software. In the present contribution, a round robin between 10 Italian universities has been carried out to calibrate the PSM with 7 different commercial FE codes. To this aim, several two‐dimensional mode I and mode II problems have been analysed independently by the participants. The obtained results have been used to calibrate the PSM for given stress analysis conditions in (i) FE software, (ii) element type and element formulation, (iii) mesh pattern, and (iv) criteria for stress extrapolation and principal stress analysis at FE nodes.
Highlights
The peak stress method (PSM) is an engineering, finite element (FE)‐oriented method to rapidly estimate the notch stress intensity factors by using the singular linear elastic peak stresses calculated from coarse FE analyses
It should be noted that stress extrapolation at nodes according to Figure 13A and Equation 10 is carried out by most of the considered FE codes, ie, Ansys, Abaqus, Straus 7, MSC Patran/Nastran, and Lusas
Ls‐Dyna do not calculate the nodal stresses in the ele[31] ment, so that Hyperview can extrapolate stress at nodes only according to Figure 13B and Equation 11. This is the reason why K*FE obtained with Optistruct and Ls‐Dyna (Figure 11F,G) is different from that obtained with the other FE codes (Figure 11A‐E)
Summary
The peak stress method (PSM) is an engineering, finite element (FE)‐oriented method to rapidly estimate the notch stress intensity factors by using the singular linear elastic peak stresses calculated from coarse FE analyses. Nomenclature: a, characteristic size of the analysed sharp V‐notch; d, average size of a finite element mesh; e1, e2, parameters for the evaluation of the averaged strain energy density (SED); E, elastic modulus; fw1fw[2], weight parameters of the peak stresses; K1, K2 , mode I and II notch stress intensity factors (NSIFs); K *FE ,K **. SED evaluation; r, θ, polar coordinates; ux, uy, displacement components in the Cartesian frame of reference; W , strain energy density averaged over the control volume; x, y, Cartesian coordinates. Symbols: 2α, opening angle; Δ, range of the considered quantity; λ1, λ2, mode I and mode II eigenvalues in Williams' equation; ν, Poisson's ratio; σI,peak, singular, linear elastic maximum principal stress evaluated at a V‐notch tip by FEM using the mesh according to the PSM; σeq,peak, linear elastic equivalent peak stress evaluated at a V‐notch tip; σij,c(A), centroidal stress component in element A; σij,k(A), stress component, referred to node k of element A; σij,k, stress component, referred to node k; σnom, applied nominal stress; σθθ,, τrθ normal and shear stress components in the polar frame of reference; σyy,peak, singular, linear elastic, opening peak stress evaluated at a V‐notch tip by FEM according to the PSM; τII,peak,τxy,peak, singular, linear elastic, sliding peak stress evaluated at the crack tip by FEM according to the PSM; [σ]k(A), stress tensor, referred to node k of element A; [σ]k, stress tensor, referred to node k
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