The stress analysis of cracks handbook

By H. Tada. 2000

4,484 citations recorded by the source corpus.

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Citations in the corpus

A model for turbulent hydraulic fracture and application to crack propagation at glacier beds (2010, unknown): “For this uniform pressure plane strain crack of (instantaneous) length 2L in a homogeneous medium, the crack opening profile is given by wU xð Þ ¼ 4DpinLE0 ffiffiffiffiffiffiffiffiffiffiffiffi 1 x̂2 p ; ð40Þ where, as before, x̂ ≡ x/L [see, e.g., Tada et al., 2000].”
Isogeometric analysis: An overview and computer implementation aspects (2012, background): “r is ﬁxed in both xand ydirections. The material parameters are E= 103 and ν= 0.3. A plane strain condition is assumed. The reference mode I stress intensity factor (SIF) for this problem is given in [71] and is calculated as KI = F a b σ √ πa, (72) where ais the crack length, bis the plate width, ”
Theory and numerics for finite deformation fracture modelling using strong discontinuities (2006, methodology): “The relative errors in magnitude of the resulting MCDFs from the different analyses, in comparison to the analytical solution [48], are summarized in Figure 13, where results for both the nodal and the domain method are included and where it is evident that the magnitude is rather sensitive to the d”
Cracked beam identification by numerically analysing the nonlinear behaviour of the harmonically forced response (2011, background): “In the local flexibility models [30,31,25,15,10,32], the main idea in modelling the crack is to introduce a local compliance matrix, connecting longitudinal, bending and shear forces and displacements near the crack tip; the elements of the local flexibility matrix describe the reduced stiffness due”
Vector level sets for description of propagating cracks in finite elements (2003, methodology): “For the reference solution we use the expression proposed by Tada [26] for an edge crack in a plate.”
Extended finite element method on polygonal and quadtree meshes (2008, background): “The reference mode I stress intensity factor for this problem is [42] KI = ασ √ πa, (13)”
A Moving Least Squares weighting function for the Element-free Galerkin Method which almost fulfills essential boundary conditions (2005, methodology): “The analytical solution for this problem is given in (Tada et al. 1993) as KI = 4.”