Pfc Equivalent Crystal Model

PFC Equivalent Crystal Model

This skill turns Chapter 5.3 into a reusable route for equivalent-crystal modeling, formula retention, validation logic, and plotting contracts.

When to use

Use this skill when the user wants to:

• explain what an equivalent crystal model is
• rebuild the crystal-network and particle-model overlay workflow
• retain core fine-scale parameters and validation logic
• compare simulated crack patterns with laboratory observations
• fit a Hoek-Brown style nonlinear strength envelope

First rules

1. Keep model construction, parameter assignment, and validation as separate stages.
2. Distinguish crystal-body behavior from crystal-network interface behavior.
3. When discussing validation, pair crack-pattern evidence with stress-strain evidence.
4. State clearly whether a figure comes from direct tension, uniaxial compression, or triaxial compression.
5. Use the equivalent crystal model as a brittle-rock fidelity upgrade over the standard BPM baseline.

Default workflow

1. Recover the modeling logic

Read references/theory.md for the crystal-network generation logic, particle assembly, equivalent-crystal overlay, parameter meaning, and test-validation route.

2. Retrieve the key formulas

Read references/formulas.md for the retained Hoek-Brown fitting expression and the chapter's compression-tension interpretation.

3. Plan validation and figures

Read references/plotting.md for the default figure family:

• stress-strain curves
• crack-distribution figures
• laboratory vs simulation comparison
• Hoek-Brown fit
• UCS/TS ratio summary

4. Trace chapter provenance

Read references/chapter-map.md when you need the exact chapter section or figure scope behind the model narrative.

Read next

• references/theory.md
• references/formulas.md
• references/plotting.md
• references/chapter-map.md

Output contract

For a complete response or delivery, prefer these artifacts:

• a concise equivalent-crystal construction summary
• the retained nonlinear strength-fit formula and symbol definitions
• a validation checklist covering crack pattern, stress-strain, and compression-tension ratio
• a figure list with inputs and output filenames

Local Contents

• references/chapter-map.md: workflow and chapter mapping for equivalent-crystal modeling.
• references/formulas.md: calibration and interpretation formulas.
• references/plotting.md: expected figure and source-data patterns.
• references/theory.md: model assumptions, limitations, and physical interpretation.