Significance of Higher-order Terms of the Williams Expansion for Plastic Zone Extent Estimation Demonstrated on a Mixed-mode Geometry [PDF]
In this work, the multi-parameter description of the crack-tip fields is employed. The Williams expansion is introduced for approximation of the stress/displacement distribution.
Lucie Malikova, Václav Vesely
exaly +4 more sources
Complete Williams Asymptotic Expansion Near The Crack Tips of Collinear Cracks of Equal Lengths in an Infinite Plane Medium [PDF]
The study is aimed at analytical determination of coefficients in crack tip stress expansions for two collinear finite cracks of equal lengths in an infinite plane medium.
Larisa Stepanova
exaly +3 more sources
In the present study the asymptotic analysis of the multi-parameter Williams series expansion of the stress-strain state in the vicinity of seven different configurations is performed. The aim of the asymptotic analysis is to educate the sensitivity of different cracked and notched configurations to the number of kept terms in Williams series expansion.
R. M. Zhabbarov +1 more
openalex +3 more sources
A Dual of the Compression-Expansion Fixed Point Theorems [PDF]
This paper presents a dual of the fixed point theorems of compression and expansion of functional type as well as the original Leggett-Williams fixed point theorem. The multi-valued situation is also discussed.
Donal O'Regan +2 more
doaj +6 more sources
From Muskhelishvili Potentials to Williams Expansion of Crack-Tip Stress Fields
The Williams expansion provides a fundamental asymptotic description of crack-tip stress fields in linear elastic fracture mechanics, where the leading singular term governs K-dominance and the non-singular and higher-order terms control crack-tip constraint and deviations from near-tip asymptotics.
Bonan Wang, Yujie Wei, Huajian Gao
+4 more sources
Late phonological development in Williams syndrome [PDF]
Williams syndrome is a neurodevelopmental genetic disorder characterized by a unique phenotype, including mild to moderate intellectual disability and an uneven neuropsychological profile of relative strengths and weaknesses.
Vanesa Pérez +3 more
doaj +3 more sources
The domain of the generalized stress intensity factors dominance ahead of the notch tip can be rather small with respect to the length of the perturbing cracks initiated from the tip of the notch. Thus the non-singular terms of the stress asymptotic expansion at the notch tip would play an important role in the notch tip stability.
Tomáš Profant +5 more
openalex +2 more sources
The present study is aimed at analytical determination of coefficients in crack tip expansion for two collinear finite cracks of equal lengths in an infinite plane medium. The study is based on the solutions of the complex variable theory in plane elasticity theory.
Л. В. Степанова +2 more
openalex +2 more sources
Digital processing of the results of optoelectronic measurements. The photoelasticity method and its application for determination of coefficients of the multiparameter asymptotic Williams expansion of the stress field [PDF]
The study is aimed at experimental and computational determination of the coefficients in crack tip asymptotic expansions for a wide class of specimens under mixed mode loading conditions.
Larisa V Stepanova, Vadim S Dolgich
doaj +2 more sources
From Muskhelishvili potentials to Williams crack-tip expansions
Bonan Wang, Yujie Wei, Huajian Gao
openalex +2 more sources

