Results 1 to 10 of about 803,402 (308)
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
Feng, WJ, Su, RKL
core +7 more sources
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 +6 more sources
Crack propagation in a brittle DCB specimen assessed by means of the Williams’ power expansion
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 +8 more sources
Functional expansion - compression fixed point theorem of Leggett-Williams type
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 +3 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 +3 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 +10 more sources
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 ...
L. V. Stepanova, K. N. Aldebeneva
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Engineering Solid Mechanics, 2013 A B S T R A C T The amount of damage induced by brittle fracture of cracked bodies depends considerably on the path of fractures. Therefore, prediction of the trajectory of fracture using suitable theoretical fracture criteria is very important for cracked structures.
S. Nasiraldin Mirlohi, M.R.M Aliha
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Vestnik of Samara University. Natural Science Series, 2022 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, L. V. Stepanova
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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
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