How Does Temperature Affect Stress Distribution in Bonded Metals?

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SUMMARY

This discussion focuses on calculating the distribution of shearing and normal stress in bonded metals, specifically a silicon layer on top of a copper substrate. Key parameters include a length of 20mm, a thickness of 0.5mm, a temperature change (delta t) of 100 degrees Celsius, and an adhesive thickness of 50mm. Participants emphasize the importance of drawing a free-body diagram for each component and analyzing the forces required to maintain geometric constraints to accurately determine stress distribution.

PREREQUISITES
  • Understanding of mechanics of materials
  • Familiarity with stress analysis techniques
  • Knowledge of thermal expansion principles
  • Experience with free-body diagram construction
NEXT STEPS
  • Research methods for calculating shear and normal stress in bonded materials
  • Learn about thermal expansion effects on material properties
  • Explore finite element analysis (FEA) tools for stress distribution modeling
  • Study the principles of adhesive bonding in engineering applications
USEFUL FOR

Mechanical engineers, materials scientists, and researchers involved in the analysis and design of bonded metal structures, particularly those interested in the effects of temperature on stress distribution.

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length: 20mm
thickness = 0.5mm
delta t = 100 celsius
thickness of adhesive = 50 mm
and a picture of a Silion on top of a Copper

Questions: How to calculate the distribution of shearing and normal stress?

Any helps and ideas will be appreciated.
 
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First draw a free-body diagram of each component, then look at the forces necessary to maintain any geometric constraints.
 

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