جستجوی مقالات مرتبط با کلیدواژه « روش فرامعین » در نشریات گروه « مکانیک »

In the present study, the asymptotic stress distribution related to the mode I loading has been calculated by using the complex potential functions method for the key-hole notch. The new solution is an extension to the previous study of Zappalorto and Lazzarin [1] and has been developed to derive the components of stress field in the series expansion. Moreover, the displacement fields around the keyhole notch have been derived in both Cartesian and polar coordinate systems. Then, the over-deterministic method is utilized to calculate the coefficients of the series. According to the over-deterministic method the asymptotic stress or displacement field will be fitted to a large number of data points and the coefficients of the series will be derived based on the least square sense. Finally, to evaluate the derived coefficients, the truncated stress series have been compared with its relevant finite element values. The results show that considering the singular terms alone will generate large amounts of errors in calculations.

Three-point bend (TPB) specimen is an important test sample in fracture study of notched components made from brittle materials like rocks and ceramics. On the other hand, the notch stress intensity factors (NSIFs) are vital parameters in brittle fracture assessment of V-notched structures. Therefore, computation of NSIFs in TPB specimens is of practical interest to engineers and researchers. Since the available methods for calculating NSIFs are often cumbersome and need complicated calculations, it is preferred to show them as a set of dimensionless parameters. In this research, by using a finite element approach called FEOD method, the stress intensity factors are determined numerically for notched TPB specimens having different geometry and loading conditions. The obtained values of NSIF are then converted to dimensionless parameters called notch shape factors YIV and are illustrated in a number of discrete figures. It is shown that each of the three parameters of: the notch opening angle, the notch length and the distance between the two supports has direct relation with YIV. The results presented in this paper can be used by designers and engineers for performing the necessary fracture experiments through the TPB specimen without needing complicated and time-consuming calculations.