DECM: A Discrete Element for Multiscale Modeling of Composite Materials Using the Cell Method.

Area of Science:

• Computational Mechanics
• Materials Science
• Numerical Methods

Background:

• Multiscale modeling of composite materials presents challenges in capturing both microscale details and macroscale behavior.
• Existing methods for failure analysis in continuous media often require predefined knowledge of failure locations.

Purpose of the Study:

• To introduce a novel numerical method, the Discrete Element Cell Method (DECM), for advanced multiscale modeling of composite materials.
• To demonstrate the DECM's capability in simulating crack propagation and analyzing stress fields in composites with inclusions.

Main Methods:

• The Discrete Element Cell Method (DECM) integrates Discrete Element Method (DEM) and Cell Method (CM) principles.
• DECM allows for detailed microscale analysis (CM) and individual element management with finite displacements (DEM).
• The method directly solves problems in the space domain, eliminating the need for dynamic relaxation techniques for static solutions.

Main Results:

• DECM successfully models crack propagation up to complete detachment and automatically identifies new contacts.
• The method does not require prior knowledge of failure positions, unlike other DEM approaches.
• Simulations of axial and shear loading on a 2D composite with periodic inclusions illustrate DECM's effectiveness.

Conclusions:

• DECM provides a robust framework for multiscale composite material modeling, capturing complex failure mechanisms.
• The developed method offers detailed insights into how inclusions influence stress distribution within composite continua.
• DECM presents a significant advancement for numerical simulations in materials science and computational mechanics.