Education: GUI for PPR - Potential-based Cohesive Model
PPR (Park-Paulino-Roesler) is a unified potential-based model for mixed-mode cohesive fracture and takes into account physical parameters such as fracture energy, cohesive strength and shape of the cohesive interactions. The unified potential leads to both intrinsic and extrinsic cohesive models with the provision of having different fracture energies and cohesive strengths in each fracture mode.

A Graphic User Interface (GUI) has been developed in our group which helps one understand the features of PPR model without having to go through the intricacies of actual implementation. Two sets of results from the GUI are shown below, one each for intrinsic and extrinsic model. The figures depict the potential function and its gradient. Normal, tangential cohesive strengths, mode I and mode II fracture energies chosen are 40 MPa, 30 MPa, 100N/m, and 200 N/m respectively. Click on the tabs below to select the case you are interested in. Jump to examples:

Intrinsic Model

The first set of examples show plots for intrinsic version of PPR model.

Here we show three results which arise when the shape parameters α, β are varied. Click on the tabs below titled "α = 5.0, β = 2.0", "α = 2.0, β = 2.0" and "α = 1.3, β = 2.0" to see potential function and its gradient for each case.

The GUI provides the flexibility to choose the initial slope indicators, along with other parameters mentioned before, which control elastic behavior for intrinsic models. Normal and tangential slope indicators of 0.1, 0.2 respectively are chosen for the current examples.

  • α = 5.0, β = 2.0
  • α = 2.0, β = 2.0
  • α = 1.3, β = 2.0
Q1
Extrinsic Model

The extrinsic version of the PPR model is discussed here. In this case, cohesive elements are inserted adaptively on the basis of an external crack initiation criterion. The potential function excludes the elastic behavior (initial slope) in the cohesive interactions.

As previous set of examples, here we show three results which arise when the shape parameters α, β are varied. Click on the tabs below titled "α = 5.0, β = 2.0", "α = 2.0, β = 2.0" and "α = 1.3, β = 2.0" to see potential function and its gradient for each case. Other parameters are kept constant.

  • α = 5.0, β = 2.0
  • α = 2.0, β = 2.0
  • α = 1.3, β = 2.0
Resources

1. Graphic User Interface (GUI) for PPR. CODE
2. User Manual for GUI. PDF