EXPERIMENTAL DETERMINATION OF CRACK-TIP FIELDS: HOLOGRAPHIC INTERFEROMETRY METHOD AND DIGITAL IMAGE CORRELATION METHOD

Author details

G.S. Anisimov
Samara National Research University, Samara, Russian Federation
L.V. Stepanova
Samara National Research University, Samara, Russian Federation

https://doi.org/10.15593/perm.mech/2024.3.03

The problems of reconstruction of the stress field at the crack tips of a system of horizontal and inclined cracks in a linear isotropic elastic medium using the results of experimental studies conducted by interference-optical methods: the method of holographic interferometry and the digital image correlation are considered. The experiments are aimed at constructing a multi- component asymptotic expansion of M. Williams with the retention of regular (nonsingular) series terms for plates weakened by two interacting cracks. To restore the coefficients of the M. Wil- liams series the interference patterns of the absolute retardation fringes (isodromes) are used. Favre's law allows us to determine the main stresses in the vicinity of the crack tip. The strain and displacement fields were determined using the digital image correlation method for a number of cracked specimens. The experimental data obtained by two interference-optical methods was used to calculate the coefficients of the multi-point asymptotic expansion of M. Williams. A new variation of the over-deterministic method is proposed, focused on the linearized Favre's law, and allowing us to find the coefficients of the asymptotic series of M. Williams (generalized stress intensity coefficients) by means of an iterative procedure, based on the results of polarization- optical measurements. To verify the results of processing all the experimental data, a computa- tional experiment was additionally carried out using the finite element method, which made it possible to calculate generalized stress intensity factors based on the stress fields found by the finite element method. A modification of the over-deterministic method based solely on the appli- cation of stress fields associated with the crack tip is proposed. It is shown that the generalized coefficients of the M. Williams series, determined using a full-field and computational experiment, are in good agreement.

Keywords

holographic interferometry methodFavre's lawdigital image correlation methodM. Williams multiparametric asymptotic decompositionredefined methoddigital image processing

ЭКСПЕРИМЕНТАЛЬНОЕ ОПРЕДЕЛЕНИЕ ПОЛЕЙ У ВЕРШИНЫ ТРЕЩИНЫ: МЕТОД ГОЛОГРАФИЧЕСКОЙ ИНТЕРФЕРОМЕТРИИ И МЕТОД КОРРЕЛЯЦИИ ЦИФРОВЫХ ИЗОБРАЖЕНИЙ

Рассматриваются вопросы реконструкции поля напряжений у вершин системы горизон- тальных и наклонных трещин в линейно упругой среде с помощью результатов экспериментальных исследований, проведенных интерференционно-оптическими методами: методом голографиче- ской интерферометрии и методом корреляции цифровых изображений. Эксперимент нацелен на построение многокомпонентного асимптотического разложения М. Уильямса с удержанием регу- лярных (неособых) слагаемых ряда для пластин, ослабленных двумя взаимодействующими трещинами. Для восстановления коэффициентов ряда М. Уильямса были использованы картины абсолютной разности хода (изодромы), позволяющие с помощью закона Фавра определить главные напряжения в окрестности вершины трещины. С помощью метода корреляции цифро- вых изображений для ряда конфигураций образцов с трещинами определены поля деформаций. Экспериментальная информация, полученная двумя интерференционно-оптическими методами, использована для вычисления коэффициентов многопараметрического асимптотического раз- ложения М. Уильямса. Предложена новая вариация переопределенного метода, ориентированная на линеаризованный закон Фавра, и позволяющая отыскать посредством итерационной процедуры коэффициенты асимптотического ряда М. Уильямса (обобщенные коэффициенты интенсивности напряжений), опираясь на результаты поляризационно-оптических измерений. Для верификации результатов обработки всей совокупности экспериментальных данных дополнительно проведен вычислительный эксперимент с помощью метода конечных элементов, что позволило вычислить обобщенные коэффициенты интенсивности напряжений, опираясь на поля напряжений, найденные методом конечных элементов. Предложена модификация переопределенного метода, основанная на применении исключительно полей напряжений, ассоциированных с вершиной трещины, определяемых из конечно-элементного решения. Показано, что коэффициенты ряда М. Уильямса, определенные с помощью натурного и вычислительного эксперимента, хорошо согласуются меж- ду собой.

Ключевые слова

метод голографической интерферометриизакон Фавраметод корреляции цифровых изображениймногопараметрическое асимптотическое разложение М. Уильямсапереопределенный методцифровая обработка изображений

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Article information

Published: 5 September 2024
Issue date: 5 September 2024
Issue: No. 3 (2024)