**C.1 Single-hole subject to far-field stress (Case 1–1)**

#### **Figure C1.**

*Complete results of the elastic displacement solutions around single hole in an elastic plate subjected to far-field stress. First column is for the plan strain solution given by Eqs. (15) and (16). Second column is the plane stress solution given by Eqs. (17) and (18). Third column quantifies the delta (difference) between plane strain and plane stress solutions using Eqs. (25) and (26).*

## 2. Strain tensor components.

#### **Figure C2.**

*Strain tensor components around the single hole 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 C1 in both x and y directions. See Eqs. (29)–(31) Note that εzz* ¼ 0 *for the plane strain solution and therefore there is no delta in z*�*direction.*

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

#### 3. Principal strains.

#### **Figure C3.**

*Principles strains around the single hole in an elastic plate subjected to far-field stress. These solutions are obtained by applying Eq. (36) for the principal strain magnitude solution using the strain tensors in Figure C2.*

4. Stress tensor components.

#### **Figure C4.**

*Stress tensor components around the single hole 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 from the relations between the strain tensor components and the stress tensor components shown in Eqs. (32)–(34). Note that σzz* ¼ 0 *for plane stress solution and therefore there is no delta in the z*�*direction.*
