From a Dalitz plot analysis of B → Kπ + ψ ′ decays, we find a signal for Z(4430), and significance of 6.4 σ that agrees with previous Belle measurements based on the same data sample. In addition, we determine the branching fraction
The process gammagamma-->phiJ/psi is measured using a data sample of 825 fb{-1} collected with the Belle detector. A narrow peak of 8.8{-3.2}{+4.2} events, with a significance of 3.2 standard deviations including systematic uncertainty, is observed. The mass and natural width of the structure [named X(4350)] are measured to be [4350.6{-5.1}{+4.6}(stat)+/-0.7(syst)] MeV/c{2} and [13{-9}{+18}(stat)+/-4(syst)] MeV, respectively. The product of its two-photon decay width and branching fraction to phiJ/psi is [6.7{-2.4}{+3.2}(stat)+/-1.1(syst)] eV for J{P}=0{+}, or [1.5{-0.6}{+0.7}(stat)+/-0.3(syst)] eV for J{P}=2{+}. No signal for the Y(4140)-->phiJ/psi structure reported by the CDF Collaboration in B-->K{+}phiJ/psi decays is observed, and limits of Gamma_{gammagamma}(Y(4140))B(Y(4140)-->phiJ/psi)<41 eV for J{P}=0;{+} or <6.0 eV for J{P}=2{+} are determined at the 90% C.L. This disfavors the scenario in which the Y(4140) is a D{s}{*+}D{s}{*-} molecule.
Mesh-dependence and its regularization in the local approach to creep fracture based on continuum damage mechanics and finite element method are discussed. The essential causes of the mesh-dependence are elucidated first in some detail. Then, the process of damage localization and its effects on the mesh-dependence are discussed by performing finite element analysis of a plate in uniform state of stress. The stress sensitivity in damage evolution equations is shown to be one of the major causes of the mesh-dependence. Finally, besides the non-local damage theory often employed in local approach, three new possibilities, including the stress limitation method and that of the modified stress sensitivity in the damage evolution equation, to secure the convergent results are proposed. The validity and the limitations of these methods are elucidated and compared with each other by analyzing creep fracture process of an axisymmetric thick-walled tube.
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