Analysis, Design and Optimization of Composite Structures

Rapidly varying material and geometrical characteristics of composite materials and structures do not allow the direct study of their mechanical behavior even with the use of modern computers. This book is devoted to the mechanical design and optimization problems of composite structures, based on the previously developed asymptotic homogenization models and on the newly elaborated rigorous mathematical methods. It describes how to construct mathematically rigorous mechanical models to determine strength, stiffness, and weight minimization requirements, all important factors of design and optimization.

ANALYSIS OF COMPOSITE MATERIALS AND STRUCTURAL MEMBERS OF A PERIODIC STRUCTURE. Asymptotic Methods in the Mechanics of Composites. Analysis of the Effective Properties of Highly Porous Composite Materials and Structures. Homogenization Models for Thin-Walled Composite Structural Members. Effective Properties of Thin-Walled Composite Structural Members. Strength Criteria for Composite Materials. DESIGN OF COMPOSITE MATERIALS AND STRUCTURAL MEMBERS. Design of Laminated Composites with Given Effective Characteristics. Design of High-Stiffness, Fibre-Reinforced Composites. Design of Composite Structural Members with Given Effective Characteristics. Smart Composite Structures. Appendices. References. Index.