Over-deterministic method: The influence of rounding numbers on the accuracy of the values of Williams’ expansion terms [PDF]
Fracture and Structural Integrity, 2017 A study on the accuracy of the values of Williams’ expansion terms influenced by rounding numbers is presented. The results are presented taking into account a three-point bend single edge notched beam.
Vladimir Ruzicka +2 more
doaj +11 more sources
Functional expansion - compression fixed point theorem of Leggett-Williams type [PDF]
Electronic Journal of Differential Equations, 2010 This paper presents a fixed point theorem of compression and expansion of functional type in the spirit of the original fixed point work of Leggett-Williams.
Douglas R. Anderson +2 more
doaj +6 more sources
Williams Expansion Terms and their Importance for Accurate Stress Field Description in Specimens with a Crack [PDF]
Transactions of the VŠB-Technical University of Ostrava, Mechanical Series, 2013 The paper deals with an analysis of the stress and displacement fields in various cracked specimens (loaded in mode I as well as in mode II). The main goal is to determine an accurate approximation of the near-crack-tip fields which can be subsequently
Lucie MALÍKOVÁ, Václav VESELÝ
doaj +5 more sources
Accurate determination of mode I and II leading coefficients of the Williams expansion by finite element analysis [PDF]
Finite Elements in Analysis and Design, 2005 Leading coefficients of the Williams expansion are evaluated by using the fractal finite-element method (FFEM). By means of the self-similarity principle, an infinite number of elements is generated at the vicinity of the crack tip to model the crack tip singularity.
W J Feng, R K L Su
exaly +7 more sources
Crack propagation in a brittle DCB specimen assessed by means of the Williams’ power expansion [PDF]
Fracture and Structural Integrity, 2019 A double cantilever beam geometry has been chosen in order to investigate the importance of the higher-order terms of the Williams’ power expansion for the crack path estimation.
Lucie Malikova +2 more
doaj +9 more sources
Fracture and Structural Integrity, 2017 A study on the approximation of the stress field in the vicinity of crack tip in a compact tension specimen made from Al 2024-T351 is presented. Crack tip stress tensor components are expressed using the linear elastic fracture mechanics (LEFM) theory in
S. Seitl +4 more
doaj +9 more sources
Edge singularities and structure of the 3-D Williams expansion
Comptes Rendus - Mecanique, 2008 The elastic solution in a vicinity of a re-entrant wedge can be described by a Williams like expansion in terms of powers of the distance to a point on the edge. This expansion has a particular structure due to the invariance of the problem by translation parallel to the edge.
Zohar Yosibash, Dominique Leguillon
exaly +3 more sources
An Over-deterministic Method Based on Atomistic Stress Fields: Higher Order Terms of the Williams power expansion [PDF]
Procedia Structural Integrity, 2022 Larisa Stepanova
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Photoelastic study of a double edge notched plate for determination of the Williams series expansion
Vestnik of Samara University. Natural Science Series, 2021 In this work, digital photoelasticity method is applied for assessment of the crack tip linear fracture mechanics parameters for a plate with double edge notches and different other crack configurations. The overarching objective of the study is to obtain the coefficients of the Williams series expansion for the stress and displacement fields in the ...
Л. В. Степанова +1 more
openalex +3 more sources
Vestnik of Samara University. Natural Science Series, 2023 The article defines stress fields near the tips of mathematical cracks in an isotropic linearly elastic plate with two horizontal collinear cracks lying on a straight line of different lengths under the uniaxial tensile condition, using two approaches - experimental, based on the method of digital photomechanics, and numerical, based on finite element ...
Darya M. Petrova +3 more
openalex +3 more sources