PSI - Issue 72

Victor Rizov / Procedia Structural Integrity 72 (2025) 113–119

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Fig. 4. The non-dimensional SERR presented as a function of n .

Fig. 5. The non-dimensional SERR presented as a function of 0  .

Calculations of the SERR are carried-out for b = 0.01 m, h = 0.015 m, l = 0.300 m, a = 0.100 m and v uC = 2×10 -6 m/s. First, change of the SERR induced by v uC is evaluated. The SERR as a function of vuC is presented in Fig. 2. The change of the SERR is quite significant (Fig. 2). This is a clear indication that the velocity has to be considered when analysing the lengthwise fracture. It is investigated also how the SERR changes when the parameter of the inhomogeneity, m , varies continuously. The corresponding graph is shown in Fig. 3. One can see in Fig. 3 that the SERR is highly sensitive with respect to m . The study reveals also a significant sensitivity of the SERR with respect to the parameter, n , as shown in Fig. 4. The change of the SERR when the material parameter, 0  , varies is shown in Fig. 5. 4. Conclusions The SERR for a lengthwise crack in a non-linear elastic bar is analysed accounting of the deflection velocity. The bar is with two-dimensional continuous material inhomogeneity in its cross-section. A parametric study is performed. The main purpose of the study is to evaluate the degree of influence of the deflection velocity on the SERR in load carrying bars having two-dimensional material inhomogeneity and exhibiting non-linear elastic behaviour. The results of the parametric study clearly indicate the significant influence of the velocity on the SERR. The influence of the parameters governing the material inhomogeneity in the bar cross-section is also significant.