Finite Element Method-Based Dynamic Response of Micropolar Polymers with Voids.
Sorin Vlase1,2, Marin Marin3
1Department of Mechanical Engineering, Transilvania University of Brașov, B-dul Eroilor 20, 500036 Brașov, Romania.
Polymers
|November 13, 2021
Summary
This study presents the equations of motion for micropolar composite materials with voids, enabling dynamic analysis using the finite element method (FEM). The findings facilitate the study of complex material behaviors in various configurations.
Area of Science:
- Materials Science
- Solid Mechanics
- Computational Mechanics
Background:
- Composite-based polymer materials exhibit diverse compositions and structures.
- Micropolar materials with voids are a growing area of research interest.
- Understanding the dynamic response of these materials is crucial for advanced applications.
Purpose of the Study:
- To establish the equations of motion for micropolar composite materials with voids.
- To enable dynamic analysis of these materials using the finite element method (FEM).
- To provide a framework for studying the dynamic response in general configurations.
Main Methods:
- Utilizing the Euler-Lagrangian formalism.
- Formulating equations based on kinetic energy, potential energy, and mechanical work.
- Applying the finite element method (FEM) for dynamic analysis.
Main Results:
- Derivation of the equations of motion for micropolar materials with voids.
- Demonstration of FEM applicability for dynamic analysis of these composites.
- The shape function selection influences the resulting matrix coefficients.
Conclusions:
- The established framework allows for the general dynamic analysis of micropolar composite materials with voids.
- The Euler-Lagrangian approach is effective for modeling the dynamic behavior.
- The presented methodology and application provide valuable insights for material design and simulation.
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