PSI - Issue 42

Jan Sladek et al. / Procedia Structural Integrity 42 (2022) 1584–1590 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

1588

5

Material 1 - SDC - c 11 = c 0 Material 2 - c 11 = 2*c 0 Material 3 - c 11 = 5*c 0

11 ; c 12 = c 0

12 ; c 22 = c 0 12 ; c 22 = 2*c 0 12 ; c 22 = 5*c 0

22 ; c 44 =c 0

44 ;

11 ; c 12 = 2*c 0 11 ; c 12 =5*c 0

22 ; c 44 = 2*c 0 22 ; c 44 = 5*c 0

44 ;

44 . One can see that Material 1 corresponds to a crack problem in a homogeneous body. Two different flexoelectric coefficients are considered: f 1 = {10 -9 ; 10 -7 }C/m , f 2 =0 and the micro-stiffness length parameter is considered as 8 10 l m − = .

Fig. 2 Variation of the crack displacements along the crack faces for various elastic ratios and flexoelectric coefficients: a) 9 1 1 10 / f C m − =  ; b) 7 1 1 10 / f C m − = 

Variations of the crack displacements 2 u along the crack face 1 x for various ratios of elastic coefficients in domain I and II and flexoelectric coeficients 9 1 1 10 / f C m − =  and 7 1 1 10 / f C m − =  are presented in Fig. 2a and Fig. 2b, respectively. One can observe almost the same crack opening displacements for different values of flexoelectric