Abstract

This project presents a comprehensive static and dynamic analysis of composite laminated plates, utilizing the First Order Shear Deformation Theory (FSDT) within the framework of Isogeometric Analysis (IGA). This study aims to develop an optimal midsole material that can provide cushioning without compromising stiffness, stability, and fatigue life. To accomplish this goal a novel combination of IGA and FSDT was developed providing unique design flexibility and possibility of optimizing the macro- and micro- mechanical properties. Hence, it brought the possibility to achieve desired energy dissipation, and optimal balance between damping and stiffness. FSDT, with its enhanced accuracy over the classical lamination plate theory was employed to incorporate the critical aspect of transverse shear deformation, which is often overlooked in conventional approaches. The use of IGA for numerical analyses ensures higher accuracy per degree of freedom and more efficient optimization when compared with conventional finite element method. This innovative approach allows for a more accurate approximation of both the geometry and the solution field of the composite plate, leveraging the inherent advantages of IGA in handling complex geometries and ensuring higher accuracy in elasticity analysis. First, the behavior of rectangular composite plates under varying loading conditions was considered. Then, numerical results were compared and validated against both analytical solutions and those presented in literature. The excellent agreement of numerical results with the available analytical solutions confirmed the reliability of the proposed platform for practical applications on complex geometries. Furthermore, a more realistic model of the midsole geometry with composite laminate properties was developed and the modal analysis and transient analysis were performed to obtain the modal loss factor and energy dissipation behavior. The properties of the midsole were improved by using Enhanced Scatter Search optimization framework considering a damping factor similar to that of a conventional midsole with improved stiffness. In this study a numerical platform was developed to perform efficient design optimization for design and customization of composite midsoles. The developed platform is not limited to midsole design and can be directly adopted for static and dynamic analyses of composite materials for its ever-expanding applications.

Date of publication

Fall 11-13-2024

Document Type

Thesis

Language

english

Persistent identifier

http://hdl.handle.net/10950/4788

Committee members

Dr. Nelson Fumo, Dr. Alwathiqbellah Ibrahim

Degree

Master of Science in Mechanical Engineering

Available for download on Thursday, December 10, 2026

Share

COinS