**C.2 Single-hole subject to the internal hole pressure (Case 1–2)**

1. Displacement fields.

#### **Figure C7.**

*Complete results of the elastic displacement solutions around the single hole in an elastic plate subjected to internal pressure. First column is for the plan strain solution. Second column is the plane stress solution. In the case when the elastic plate is subjected to internal pressure only, the plane strain and plane stress are identical and given by Eqs. (27) and (28). Therefore, there is no delta in this case. As in Case1–1 input parameters are listed in Table 1.*

*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 C8.**

*Strain tensor components around the single hole in an elastic plate subjected to internal pressure. First column is for the plan strain solution. Second column is the plane stress solution. These solutions are obtained by analytical differentiation of the displacement components in Figure C7 in both x and y directions.*

#### **Figure C9.**

*Principles strains around the single hole in an elastic plate subjected to internal pressure. These solutions are obtained by applying Eqs. (36) for the principal strain magnitude solution using the strain tensors in Figure C8.*

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

4. Stress tensor components.

#### **Figure C10.**

*Stress tensor components around the single hole in an elastic plate subjected to internal pressure. First column is for the plan strain solution. Second column is the plane stress solution. These solutions are obtained from the relations between the strain tensor components and the stress tensor components shown in Eqs. (32)–(34).*

#### 5. Principal stresses.

**Figure C11.**

*Principal stresses around the single hole in an elastic plate subjected to internal pressure. These solutions are obtained by applying Eqs. (37) and (38) using the tensor stress components in Figure C10.*
