materials-fracture-mechanics

Analyze material stress, strain, fracture toughness, and fatigue crack growth.

Updated Mar 5, 2026
One-click install
npx skills add https://github.com/jpfielding/claude.pnge --skill materials-fracture-mechanics
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: materials-fracture-mechanics
Source: https://github.com/jpfielding/claude.pnge/tree/main/skills/materials-fracture-mechanics
Command: npx skills add https://github.com/jpfielding/claude.pnge --skill materials-fracture-mechanics

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes scripts (resource) and references (resource) components.

What problem does it solve?

This Skill addresses the complex behaviors of materials under stress, specifically focusing on how defects and cracks lead to material failure, preventing catastrophic events and ensuring structural integrity.

Core Features & Use Cases

  • Stress and Strain Analysis: Calculate engineering stress and strain, and apply Hooke's Law for elastic behavior.
  • Fracture Mechanics: Determine stress intensity factors, critical crack sizes, and critical stresses for various crack geometries.
  • Fatigue Analysis: Screen for fatigue failure risk using the Goodman relation and estimate fatigue life with Paris Law.
  • Use Case: A user can input material properties and crack dimensions to assess if a component is likely to fail due to fracture or fatigue under given operating conditions.

Quick Start

Use the materials-fracture-mechanics skill to calculate the critical crack size for a steel component with a given stress intensity factor and applied stress.

Frequently Asked Questions about materials-fracture-mechanics

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I calculate the critical crack size for a steel component under applied stress?

Calculate critical crack size by applying the stress intensity factor determination functions with known fracture toughness and applied stress values. This estimates the maximum allowable crack geometry before structural failure occurs under specific operating conditions.

How does Paris law estimate fatigue life and crack growth?

Paris law estimates fatigue life by correlating crack growth rate with the stress intensity factor range. Input material properties and cyclic loading conditions to predict cycles to failure before reaching critical fracture dimensions.

Can I screen for fatigue failure risk using the Goodman relation?

Yes, you can screen for fatigue failure risk by applying the Goodman relation to evaluate mean and alternating stresses against material strength limits. This identifies whether a component risks fatigue failure under given operating conditions.

What is the difference between brittle and ductile failure in fracture mechanics?

Brittle failure occurs rapidly with minimal plastic deformation, while ductile failure involves significant plastic strain before fracture. This Skill analyzes stress and strain to characterize elastic and plastic material response and predict the resulting failure mode.

How do I determine the stress intensity factor for various crack geometries?

Determine the stress intensity factor by applying Python functions that calculate stress and strain based on crack dimensions and applied stress. This analysis evaluates various crack geometries to assess fracture mechanics and structural integrity.

Do I need Python to run stress and strain analysis with this Skill?

Yes, Python is required to run stress and strain analysis functions. The Skill requires Python functions for stress-strain calculations, Hooke's Law application, and elastic behavior assessment to compute engineering stress and strain values.