T-stresses in rectangular plates and circular disks

T-stress and mixed-mode stress intensity factors have been determined experimentally using thermoelastic stress analysis and using a finite element method. Pure mode I, strong mixed-mode I and II, and interacting cracks have been used as the case studies. A new technique has been proposed to identify the crack tip from thermoelastic images. It has also been shown that using three terms of Williams's stress field formulation to determine the Tstress, yields a more accurate solution than using only the first two terms of the expansion.

show abstract

“…1.5) was also modelled using the FE method. In this case T-stress results were about 2 per cent different from those in reference [19].…”

Section: T-stress and Sif Determinationcontrasting

confidence: 83%

“…The T-stress was determined for a range of loads and compared with an analysis published by Fett [19]. The results showed only 0.6 per cent difference when compared with the published data.…”

Section: T-stress and Sif Determinationmentioning

confidence: 94%

T-stress determination using thermoelastic stress analysis

Zanganeh

Tomlinson

Yates

2008

The Journal of Strain Analysis for Engineering Design

View full text Add to dashboard Cite

show abstract

“…8 for r/a ≈ 0.012 ∼ 0.016, are given in Table 1. It can be seen that except for one case (a/W = 0.6 in DECP, for which the numerical value of T/σ is the lowest), the differences between the solutions obtained in this study and those by earlier authors (Fett 1998;Wang 2002) are all less than 3%. A slanted edgecracked plate (SECP), as shown in Fig.…”

Section: Determination Of Sif and T-stresscontrasting

confidence: 45%

Stress intensity factors and T-stresses for offset double edge-cracked plates under mixed-mode loadings

Chen

Wang

2008

Int J Fract

View full text Add to dashboard Cite

A particular weight function method is used in this study to determine the stress intensity factors (SIFs) and T -stresses for offset double edgecracked plates (ODECPs). By using reference loading conditions prescribed on the crack flanks for finite element analyses, the coefficients of weight functions are derived and compiled in the form of tables. With the weight functions, the SIFs and T -stresses for several loading cases are calculated. The results compare well with those obtained using the displacement method. Applying the derived weight functions, the SIFs and T -stresses for ODECPs under several loading conditions are determined. The results can be used as references for related applications.

show abstract

“…It may be the reason why there are always published only first five terms of the Williams expansion in available fracture mechanics works of other authors, see e.g. [2,[11][12][13][14][15][16].…”

Section: Resultsmentioning

confidence: 99%

Williams Expansion Terms and their Importance for Accurate Stress Field Description in Specimens with a Crack

Malíková¹,

Veselý²

2013

TransVSBms

View full text Add to dashboard Cite

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 used e.g. in the case of quasi-brittle materials for estimation of the extent of a nonlinear zone at the crack tip in general, the fracture process zone in particular. Values of coefficients of the so-called higher-order terms of the power expansion by which the fields can be expressed are determined via regression from results of numerical simulations. The analysis is conducted using 2D numerical models and ANSYS FE computational system is employed. Various aspects regarding the description of the stress/displacement fields by means of the Williams expansion are discussed; especially the convergence of the coefficients of the first several terms of the series expansion, their absolute values and importance for an accurate stress approximation. AbstraktČlánek se zabývá analýzou polí napětí a posuvů u několika těles s trhlinou (zatížených módem I i II). Hlavním cílem je přesně aproximovat zmiňovaná pole v blízkosti vrcholu trhliny, což může být následně využito např. pro odhad rozsahu obecně nelineární zóny u čela trhliny, konkrétně lomové procesní zóny v případě kvazi-křehkých materiálů. Hodnoty koeficientů tzv. členů vyšších řádů mocninného rozvoje, pomocí kterého mohou být ona pole vyjadřována, jsou určovány pomocí regrese na základě výsledků numerických simulací. Analýza je prováděna na 2D numerických modelech realizovaných ve výpočtovém systému ANSYS. Diskutovány jsou různé aspekty popisu polí napětí/posuvů pomocí Williamsova rozvoje; především konvergence koeficientů prvních něko-lika členů řady, jejich absolutní hodnoty a význam pro přesnou aproximaci napětí.

show abstract

T-stresses in rectangular plates and circular disks

Cited by 94 publications

References 11 publications

T-stress determination using thermoelastic stress analysis

T-stress determination using thermoelastic stress analysis

Stress intensity factors and T-stresses for offset double edge-cracked plates under mixed-mode loadings

Williams Expansion Terms and their Importance for Accurate Stress Field Description in Specimens with a Crack

Contact Info

Product

Resources

About