# Stress Distribution Analysis AI Agent Connect

> Calculate stress concentrations, induced stresses, and yield zones around underground excavations.

## Overview
- **Category:** engineering
- **Price:** Free
- **Endpoint:** https://edge.vinkius.com/vk_preview_YgpVdTrztzgMwI9IMZXscRbZ424RmycGWrDgIWrO/ai-agent-connect
- **Tags:** stress, excavation, geology, kirsch, rock-mechanics

## Description

This MCP server provides specialized tools for geotechnical engineers to analyze stress states around underground openings. Using Kirsch-based elastic solutions, it allows for precise calculation of stress concentration factors, induced stresses at specific coordinates, and the extent of the yield zone where rock failure might occur. Use `analyze_stress_concentrations` to find peak stress locations, `calculate_induced_stresses` for point-specific values, `estimate_yield_zone` to predict rock failure regions, and `get_geometry_efficiency` to evaluate shape-induced stress penalties.

## Tools

### get_geometry_efficiency
Assess how the excavation shape amplifies stress

### analyze_stress_concentrations
Calculate stress concentration factors around the excavation boundary

### calculate_induced_stresses
Calculate specific stress values at a given distance and angle

### estimate_yield_zone
Estimate the extent of the yield zone around the excavation

## Prompt Examples

**Prompt:** 
```
How much will the stress increase at the boundary of a 5m radius excavation with 30MPa vertical and 20MPa horizontal in-situ stress?
```

**Response:** 
```
The maximum stress concentration factor is 2.5, occurring at a critical angle of 90 degrees.
```

**Prompt:** 
```
What is the stress at 7m from the center at a 45 degree angle for an excavation with 5m radius, 30MPa vertical and 20MPa horizontal stress?
```

**Response:** 
```
The radial stress is 12.4 MPa, the tangential stress is 24.8 MPa, and the shear stress is 5.2 MPa.
```

**Prompt:** 
```
Will a 5m radius excavation fail if the rock strength is 25MPa, with 30MPa vertical and 20MPa horizontal stress?
```

**Response:** 
```
Yes, the yield zone extends to a radius of 5.8 meters, indicating a high risk of failure at the boundary.
```

## Frequently Asked Questions

**What mathematical model is used for calculations?**
The server uses the Kirsch solution for elastic stress distribution around circular openings in an elastic medium.

**Can I predict rock failure?**
Yes, by using `estimate_yield_zone`, you can identify the radius where induced stresses exceed the rock strength.

**How does excavation shape affect the results?**
The `get_geometry_efficiency` tool calculates a penalty factor based on how much the shape deviates from a perfect circle.