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Effective Spring Stiffness for a Planar Periodic Array of Collinear Cracks at an Interface between Two Dissimilar
Huseyin Lekesiz1, Noriko Katsube, Stanislav I Rokhlin
1Dept. of Mechanical Engineering, The Ohio State University, Columbus OH 43210.
Mechanics of Materials : an International Journal
|May 28, 2013
Summary
Analytical expressions for effective spring stiffness in cracked interfaces between dissimilar materials are derived. These findings aid in quantifying disbond area and assessing interface strength using ultrasound analysis.
Area of Science:
- Solid Mechanics
- Materials Science
- Non-destructive Testing
Background:
- Interfaces between dissimilar materials often contain cracks, affecting structural integrity.
- Quantifying interfacial cracks is crucial for predicting residual strength.
- Ultrasound techniques offer experimental methods for characterizing interfacial properties.
Purpose of the Study:
- Derive analytical expressions for effective spring stiffness of cracked interfaces.
- Investigate the influence of elastic dissimilarity and crack interaction.
- Provide a method for estimating disbond area using experimental data.
Main Methods:
- Utilized the open interface crack model for analysis.
- Derived explicit analytical expressions for longitudinal and transverse stiffnesses.
- Assumed small-scale contact conditions to avoid crack surface interpenetration effects.
Main Results:
- Longitudinal and transverse effective spring stiffnesses are identical for dissimilar materials.
- Crack interaction effects are largely independent of material dissimilarity.
- Effective spring stiffness can be factorized into dissimilarity, independent crack, and interaction factors.
Conclusions:
- The derived expressions enable estimation of disbond area from ultrasound measurements.
- The findings are applicable to practical cases of small interfacial cracks with minimal opening.
- The study provides a framework for understanding crack behavior in dissimilar material interfaces.
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