Combination of finite element and reliability methods in nonlinear fracture mechanics

Reliability Assessment Using a Combination of Polynomial Chaos and Simulations: Application to Nonlinear Fracture Mechanics

“…cracked pipe depicted in figure 5 [18], and subjected to internal and axial tension . Carlo simulations applied to estimates of the probability density the polynomial chaos expansion.…”

“…For instance, when the material crack driving forces. For elastic characterized by the J-integral crack growth is observed when the : Geometry and applied loads of the cracked pipe [18] Due to the boundary conditions at the pipe ends, the internal pressure longitudinal tension in addition to the applied axial tension . The resulting stress the end effects reads:…”

“…There are several ways to characterize the stress singularity in the neighborhood of the crack tip. For instance, when the material is elastic, the stress intensity factors are often tak elastic-plastic material behavior, the crack driving force is integral, whose formulation is based on energy considerations when the J-integral exceeds the material toughness [18] the internal pressure produces a he resulting stress Ramberg-Osgood stressthe Young's modulus, is a reference is a strain hardening exponent. The law is shown in figure 6.…”

Error bounds for the reliability index in finite element reliability analysis

“…In this section, we describe the problem of reliability assessment and we introduce the reliability index [1,23,24]. Structural reliability aims at computing the probability of failure of a mechanical system by accounting for uncertainties arising in a model description (geometry, material properties) or the environmental data (prescribed displacement and external forces).…”

Probabilistic life assessment on fatigue crack growth in mixed-mode by coupling of Kriging model and finite element analysis

“…Pendola et al [15] applied the proposed probability method to nonlinear fracture analysis, using the direct method and quadratic response surface method. It was shown that the response surface method was cost attractive in case of incremental finite element analysis.…”