1. Displacement fields.

#### **Figure D1.**

*Complete results of the elastic displacement solutions around 5-holes with equal radii (r = 0.1) in an elastic plate subjected to far-field stress. First column is for the plan strain solution given by Eqs. (15) and (16) for each single hole and then use Eqs. (23) and (24) to compute the total displacement vectors (ux*,total *and uy*,total*) due to all holes combined. Second column is the plane stress solution given by Eqs. (17) and (18) and, similarly, using Eqs. (23) and (24) to compute the total displacement vectors due to all holes combined. Third column quantifies the delta (difference) between plane strain and plane stress solutions using Eqs. (25) and (26). Input parameters for this model are listed in Table 2.*

*Asymptotic Solutions for Multi-Hole Problems: Plane Strain versus Plane Stress Boundary… DOI: http://dx.doi.org/10.5772/intechopen.105048*

#### 2. Strain tensor components.

#### **Figure D2.**

*Strain tensor components around 5-holes with equal radii (r = 0.1) in an elastic plate subjected to far-field stress. First column is for the plan strain solution. Second column is the plane stress solution. Third column quantifies the delta (difference) between plane strain and plane stress solutions. These solutions are obtained by analytical differentiation of the displacement components in Figure D1 in both x and y directions. Since εzz* ¼ 0 *for the plane strain solution there is no delta in z*�*direction.*
