Evaluation of stress field parameters in fracture mechanics by photoelasticity—Revisited

Ramesh, K.; Gupta, Smith; Kelkar, Asish A.

doi:10.1016/s0013-7944(96)00098-7

Cited by 146 publications

(78 citation statements)

References 18 publications

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“…Further the method of evaluation of mixed-mode stress field parameters proposed in [17] is used. The method is called as an over-deterministic method for calculating the stress intensity factor as well as the coefficients of the higher-order terms in the Williams series expansions in cracked bodies.…”

Section: Photoelastic Determination Of Coefficients Of the Higher Ordmentioning

confidence: 99%

“…With the advent of digital image processing techniques in photomechanics, digital photoelasticity has become very popular [1][2][3][4][5][6][7][8][9]. The development of the computer-aided analysis of the experimental data obtained from photoelastic experiment caused rapid growth of the photoelasticity experiments [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20], especially in fracture mechanics for analysis of the crack tip fields and crack tip parameters. In the past two decades crack-tip mechanics has been studied increasingly using full-field techniques, namely DIC [15] and photoelasticity [1][2][3][4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

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Digital photoelasticity for calculating coefficients of the Williams series expansion in plate with two collinear cracks under mixed mode loading

Степанова¹,

Dolgikh²,

Turkova³

2017

Collection of Selected Papers of the III International Conference on Information Technology and Nanotechnology

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Photoelasticity method is used to study experimentally the complete Williams series expansion of the stress and displacement fields in the vicinity of the crack tip in isotropic linear elastic plates under Mixed Mode loading. The distribution of the isochromatic fridge patterns is employed for obtaining the stress field near the crack tip by the use of the complete Williams asymptotic expansion for various classes of the experimental specimens (plates with two collinear cracks under tensile loading and under mixed mode loading conditions). The higher order terms of the Williams series expansion are taken into account and the coefficients of the higher order terms are experimentally obtained. The stress field equation of Williams up to fifty terms in each in mode I and mode II has been considered. The comparison of the experimental results and the calculations performed with finite element analysis has shown the importance and significant advantages of photoelastic observations for the multi-parameter description of the stress field in the neighborhood of the crack tip.

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Section: Photoelastic Determination Of Coefficients Of the Higher Ordmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Digital photoelasticity for calculating coefficients of the Williams series expansion in plate with two collinear cracks under mixed mode loading

Степанова¹,

Dolgikh²,

Turkova³

2017

Collection of Selected Papers of the III International Conference on Information Technology and Nanotechnology

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“…Однако в последние годы в механике хрупкого разрушения сложилось ясное понимание необходимости удержания высших приближения в асимп-тотическом разложении М. Уильямса [31][32][33][34][35][36][37][38][39][40][41]. В этих работах отмечается по-требность развития методов и подходов, позволяющих получать аналитиче-ские зависимости коэффициентов от геометрии образца и системы приложен-ных нагрузок, и, следовательно, расширить таблицы, содержащие найден-ные оценки для коэффициентов интенсивности напряжений для различных образцов, выражениями для коэффициентов высших приближений.…”

Section: научная статьяunclassified

“…Решение сформулированной системы нелинейных алгебраи-ческих уравнений представляет самостоятельный интерес. Для решения си-стемы уравнений (2) был использован переопределенный метод [39], широко применяемый в настоящее время [40][41][42].…”

Section: научная статьяunclassified

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Цифровая Обработка Результатов Оптоэлектронных Измерений. Метод Фотоупругости И Его Применение Для Определения Коэффициентов Многопараметрического Асимптотического Разложения М. Уильямса Поля Напряжений

Степанова

Валентиновна²,

Dolgich

et al. 2017

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki

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Приведены результаты числовой обработки результатов оптоэлектронных измерений, проведенных с помощью метода фотоупругости. Целью экспериментов являлось исследование смешанного деформирования пластины с двумя горизонтальными и наклонными трещинами, проведенных с помощью метода фотоупругости, и построение многопараметрических асимптотических разложений М. Уильямса поля напряжений в окрестности каждой из вершин трещин. Приведен эффективный алгоритм вычисления коэффициентов высших приближений в асимптотических разложениях компонент тензора напряжений. Проведено сравнение коэффициентов с имеющимся точным решением задачи о смешанном нагружении бесконечной изотропной линейно-упругой пластины с двумя коллинеарными трещинами. Показано, что имеющееся точное решение для бесконечной плоскости с разрезами может служить начальным приближением для разработанного алгоритма. В работе приводятся вычисленные значения коэффициентов высших приближений как для пластины с двумя трещинами одинаковой длины, так и для пластины с разрезами различной длины.

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Synergistic determination of mode I stress intensity factors using photoelastic experimental hybrid method

Mose

Adenya

Shin

et al. 2022

Materialwissenschaft Werkst

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Engineering components possess discontinuities such as cracks which develop during service while others exist due to structural and material defects. The physical discontinuities in mechanical structures lead to stress concentrations, which can trigger mechanical collapses and catastrophic failures of the structure. Stress field equations of fracture mechanics have been formulated to aid in determination of the critical fracture mechanics parameter namely; the stress intensity factors (SIFs) ahead of cracks. Mathematical formulations for fracture mechanics, however, are known to predict infinite values of stress near the crack tip because of the stress singularity at the crack tip and therefore, provide limited information. Further interpretations and a combination of results from different techniques are frequently required to obtain the complete stress condition. In order to accurately determine mode I stress intensity factors without reverting to supplemental techniques, photoelastic experimental hybrid method (PEHM) is utilized in this research. Hybrid methods synergizing mathematical, numerical and experimental data have been used with great success in experimental stress analysis. Its application in the current fracture mechanics problem shows that photoelastic experimental hybrid method stress intensity factors correspond well with those calculated from theoretical method. In addition, it is noted that varying the geometric condition 2a/W from 0.2 to 0.6 while maintaining constant load had the effect of changing K 1 /K 0 from 1.1 to 1.5.

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Evaluation of stress field parameters in fracture mechanics by photoelasticity—Revisited

Cited by 146 publications

References 18 publications

Digital photoelasticity for calculating coefficients of the Williams series expansion in plate with two collinear cracks under mixed mode loading

Digital photoelasticity for calculating coefficients of the Williams series expansion in plate with two collinear cracks under mixed mode loading

Synergistic determination of mode I stress intensity factors using photoelastic experimental hybrid method

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