SS-V: 5080 Rigid Punch Plasticity

A 2D plane strain punch is pressed on larger block of finite dimensions. Punch is assumed rigid and contact condition between punch and the block are assumed frictionless sliding (line BC). Vertical downward displacement D is applied to the punch (Figure 1). Symmetry condition is assumed along line ABL, and sliding condition is applied along line LK.

Figure 1.

The material properties are:

Properties

Value

Modulus of Elasticity

1.e+3 MPa

Poisson's Ratio

0.3

Two plasticity models are used:

• Elastic perfectly plastic with yield stress 1 MPa
• Isotropic hardening with tangent modulus 0.1e+3 MPa

Geometry of rigid punch and the base was simulated with two 3D solid plates with thickness 10 mm (Figure 2a). Plane strain condition assumes zero strain perpendicular to the plate side. In order to meet the condition zero normal displacements were applied to both sides of the plates (Figure 2b).

Figure 2.

Prescribed displacement of the punch was applied in six steps. The following table contains values of the reaction force at the punch per 1 mm of the plates thickness.

The figures below show evolution of equivalent stress with the punch displacement increments.

Figure 3. Left: Perfectly Plastic Material; Right: Isotropic Hardening Material. D = 0.04 mm

Figure 4. Left: Perfectly Plastic Material; Right: Isotropic Hardening Material. D = 0.12 mm

Figure 5. Left: Perfectly Plastic Material; Right: Isotropic Hardening Material. D = 0.14 mm

Figure 6. Left: Perfectly Plastic Material; Right: Isotropic Hardening Material. D = 0.16 mm

Figure 7. Left: Perfectly Plastic Material; Right: Isotropic Hardening Material. D = 0.18 mm

Figure 8. Left: Perfectly Plastic Material; Right: Isotropic Hardening Material. D = 0.24 mm