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Convergence of Nonlocal Finite Element Energies for Fracture Mechanics
Numerical Functional Analysis and Optimization, 2007Usually, smeared crack techniques are based on the following features: the fracture is represented by means of a band of finite elements and by a softening constitutive law of damage type. Often, these methods are implemented with nonlocal operators that control the localization effects and reduce the mesh bias.
Lussardi, Luca, Negri, Matteo
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Probabilistic finite elements for fracture mechanics
29th Structures, Structural Dynamics and Materials Conference, 1988The probabilistic finite element method (PFEM) is developed for probabilistic fracture mechanics (PFM). A finite element which has the near crack-tip singular strain embedded in the element is used. Probabilistic distributions, such as expectation, covariance and correlation stress intensity factors, are calculated for random load, random material and ...
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Non‐linear fracture mechanics and finite elements
Engineering Computations, 1987A review is made of methods for calculating parameters characterizing crack tip behaviour in non‐linear materials. Convenient methods of calculating J‐integral type quantities are reviewed, classified broadly into two groups, as domain integrals and virtual crack extension techniques.
T.K. Hellen, W.S. Blackburn
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Finite Fracture Mechanics for Fractal Cracks
2009We extend the recently developed Quantized Fracture Mechanics (QFM) by Pugno and Ruoff (2004) for fractal cracks. Using an equivalent smooth blunt crack for a given fractal crack, we show that assuming that radius of curvature of the corresponding blunt crack is a material property, the crack roughens while propagating, i.e., fractal dimension at the ...
Arash Yavari, Michael P. Wnuk
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A finite element approximation of the Griffith?s model in fracture mechanics
Numerische Mathematik, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the finite element method in linear fracture mechanics
Engineering Fracture Mechanics, 1970Abstract The usefulness of the finite element method for the computation of crack tip stress intensity factors is established. Although ordinary finite element methods lack the ability to represent crack tip stress singularity, meaningful values for crack tip stress intensity factors can be obtained by a simple process.
S.K. Chan, I.S. Tuba, W.K. Wilson
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Self-adaptive finite elements in fracture mechanics
Computer Methods in Applied Mechanics and Engineering, 1978Abstract A new finite element capability which permits the analyst to vary the order of polynomial approximation over each finite element is discussed with reference to its potential for application to stress intensity factor computations in linear elastic fracture mechanics.
Peano, A. G., Szabo, B. A., Mehta, A. K.
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Blunt V-Notch Brittle Fracture: An Improved Finite Fracture Mechanics Approach
Advanced Materials Research, 2015The coupled Finite Fracture Mechanics (FFM) criterion is applied to investigate brittle fracture in rounded V-notched samples under mode I loading. The approach is based on the contemporaneous fulfilment of a stress requirement and the energy balance, the latter being implemented on the basis of a recently proposed analytical expression for the stress ...
SAPORA, ALBERTO GIUSEPPE +3 more
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Finite-difference approximation of energies in fracture mechanics
2000This paper provides a variational approximation by finite difference energies of functionals related to variational models in fracture mechanics for linearly--elastic materials in then framework of the Griffith theory of brittle fracture. The weak formulation of such a problem leads to functionals of the type \[ \mu\int_\Omega|{\mathcal E}u(x)|^2 dx ...
R. Alicandro +2 more
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p‐convergent finite element approximations in fracture mechanics
International Journal for Numerical Methods in Engineering, 1978AbstractThe strain energy release rate (G) converges rapidly in finite element approximations in which the finite element mesh is fixed and the order of polynomial displacement interpolations (p) is increased. Numerical experiments indicate that the error inG is very closely estimated, even for small pand very coarse finite element meshes, by an ...
Szabo, B. A., Mehta, A. K.
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