# Mechanical Stresses Estimation in Silicon and Glass Bonded at Elevated Temperature

**Authors:** Leonid S. Sinev  
**arXiv:** [1802.02559](https://arxiv.org/abs/1802.02559)  
**Date:** 2018-02-07  
**Summary page:** https://www.summarizepaper.com/en/paper/1802.02559v1/

## Key points

- Study investigates electrostatic bonding (anodic bonding) between silicon and glass
- Technique involves applying external voltage and heating materials to 200-450 degrees Celsius
- Objective is to minimize thermal mismatch stresses in resulting bond
- Two assembly descriptions used: two thin bonded layers and multilayered composite material
- Mathematical models of glass types (LK5, Borofloat 33) and silicon evaluated thermal mismatch stresses at working temperature $T_w$
- Stress dependence on ratio of glass thickness to silicon wafer thickness examined
- Adjusting glass thickness bonded to silicon can result in zero thermal mismatch stress or defined stress level at specific depth
- Assembly models provide insights for optimizing anodic bonding parameters to minimize thermal mismatch stresses
- Research valuable for engineers and researchers enhancing bonding techniques for silicon-glass assemblies, reducing internal stresses for improved performance and reliability

## Summary

In the study "Mechanical Stresses Estimation in Silicon and Glass Bonded at Elevated Temperature" by Leonid S. Sinev, the process of electrostatic bonding (also known as anodic bonding) between silicon and glass is investigated. This technique involves applying an external voltage and heating the materials to temperatures ranging from 200 to 450 degrees Celsius. The main objective is to identify solutions that can minimize thermal mismatch stresses in the resulting bond. Two different assembly descriptions are utilized: two thin bonded layers and multilayered composite material. By analyzing mathematical models of two types of glass (LK5, Borofloat 33) and silicon, the study evaluates thermal mismatch stresses at a working temperature $T_w$ for samples bonded at various temperatures $T_b$. The dependence of stress on the ratio of glass thickness to silicon wafer thickness is also examined. The findings suggest that adjusting the thickness of glass bonded to silicon can result in zero thermal mismatch stress at a specific depth or achieve a defined level of stress at that depth. These assembly models offer insights into optimizing anodic bonding parameters for minimizing thermal mismatch stresses in device operating temperatures. This research provides valuable information for engineers and researchers seeking to enhance bonding techniques for silicon-glass assemblies while reducing internal stresses for improved performance and reliability.