Fracture mechanics analysis of pressurized cracked shallow shells

Lemaître, Jean-Loup; Turbat, A.; Loubet, René

doi:10.1016/0013-7944(77)90037-6

Cited by 11 publications

(1 citation statement)

References 3 publications

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“…Given that analytical fracture mechanics solutions are only available for simple shell structures under a limited set of loading cases (cf. Lemaitre et al, 1 Zehnder and Viz 2 ), there is a high demand for numerical predictions of shell fractures in both engineering applications and computer animations.…”

Section: Introductionmentioning

confidence: 99%

Phase‐field model for ductile fracture in the stress resultant geometrically exact shell

Ma,

Sun,

Guo

2024

Numerical Meth Engineering

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SummaryWe present a phase‐field fracture model for a stress resultant geometrically exact shell in finite deformation regime where the configuration manifold evolves according to deformation and fracture. The Reissner–Mindlin shell problem is first solved via the finite element method, where the independent unknown fields are the displacement and director. The phase‐field ductile fracture model is then coupled with the verified geometrically exact shell by enriching the three‐field elasto‐plastic free energy with a regularized crack surface energy. To capture the geometrical nonlinearity due to the large plastic deformation exhibited in the processing zone, the corresponding finite‐strain stress resultant elasto‐plasticity model is coupled with the phase field model. This coupling between the stress resultant elasto‐plasticity model and the phase‐field fracture model enables us to predict the different amounts of energy dissipation attributed to plastic deformation and fracture and hence simulate the crack propagation in the ductile regime properly. We introduce a mixed finite element model with displacement, director, and phase‐field order parameters as the nodal degree of freedoms formulated on the mid‐surface. An energy‐based arc‐length method is generalized to track the equilibrium path and mitigate instabilities arising from material nonlinearity. Four numerical examples are presented to validate the implementation of the model and demonstrate its capability to simulate ductile fracture in shell structures. These examples include a plane‐stress tension/shear fracture model, the Muscat‐Fenech and Atkins plate, axial tension of a notched cylindrical shell, and ductile fracture of a simply supported plate under uniform pressure.

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Section: Introductionmentioning

confidence: 99%

Phase‐field model for ductile fracture in the stress resultant geometrically exact shell

Ma,

Sun,

Guo

2024

Numerical Meth Engineering

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Discrete crack growth analysis methodology for through cracks in pressurized fuselage structures

Potyondy

Wawrzynek

Ingraffea

1995

Numerical Meth Engineering

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A methodology for simulating the growth of long through cracks in the skin of pressurized aircraft fuselage structures is described. Crack trajectories are allowed to be arbitrary and are computed as part of the simulation. The interaction between the mechanical loads acting on the superstructure and the local structural response near the crack tips is accounted for by employing a hierarchical modelling strategy. The structural response for each cracked configuration is obtained using a geometrically non‐linear shell finite element analysis procedure. Four stress intensity factors, two for membrane behaviour and two for bending using Kirchhoff plate theory, are computed using an extension of the modified crack closure integral method. Crack trajectories are determined by applying the maximum tangential stress criterion. Crack growth results in localized mesh deletion, and the deletion regions are remeshed automatically using a newly developed all‐quadrilateral meshing algorithm. The effectiveness of the methodology, and its applicability to performing practical analyses of realistic structures, is demonstrated by simulating curvilinear crack growth in a fuselage panel that is representative of a typical narrow‐body aircraft. The predicted crack trajectory and fatigue life compare well with measurements of these same quantities from a full‐scale pressurized panel test.

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A methodology for computing nonlinear fracture parameters for a bulging crack in a pressurised aircraft fuselage

Shenoy

Potyondy

Atluri

1994

Computational Mechanics

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Fracture mechanics analysis of pressurized cracked shallow shells

Cited by 11 publications

References 3 publications

Phase‐field model for ductile fracture in the stress resultant geometrically exact shell

Phase‐field model for ductile fracture in the stress resultant geometrically exact shell

Discrete crack growth analysis methodology for through cracks in pressurized fuselage structures

A methodology for computing nonlinear fracture parameters for a bulging crack in a pressurised aircraft fuselage

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