Rectification of Material Model for Fibrous Materials in Compressive Mode

Area of Science:

• Materials Science
• Mechanical Engineering
• Computational Mechanics

Background:

• Fibrous natural materials are widely used but their mechanical behavior under load is poorly understood.
• Existing universal material models are not yet assigned for fibrous materials.
• Understanding mechanical properties is crucial for applications like thermal/noise isolation.

Purpose of the Study:

• To develop a methodology for evaluating fibrous material structural behavior under compression.
• To classify fibrous materials based on mechanical properties using material models.
• To analyze the applicability of hyperelastic models to various fibrous materials.

Main Methods:

• Experimental evaluation of fibrous material behavior under compression.
• Implementation and comparison of hyperelastic models (Money-Rivlin, Ogden, Yeoh, polynomial).
• Analysis of fitting quality using coefficients of determination (R²).

Main Results:

• Fibrous material mechanical properties in compression are primarily determined by structure.
• The Yeoh third-order hyperelastic model showed excellent fitting for animal and mineral wool (R² 0.979-0.996).
• A fifth-order polynomial model provided the best fit for aged cotton wool (R² up to 0.9999).

Conclusions:

• The Yeoh third-order model is suitable for modeling animal and mineral wool under compression.
• Polynomial models can effectively represent aged cotton wool behavior.
• Findings facilitate the creation of finite element models for structural analysis in vibration and noise applications.