Analy Design & Optimization Of Comp
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...
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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.
PrefacePt. IAnalysis of Composite Materials and Structural Members of a Periodic Structure11Asymptotic Methods in the Mechanics of Composites32Analysis of the Effective Properties of Highly Porous Composite Materials and Structures453Homogenization Models for Thin-Walled Composite Structural Members834Effective Properties of Thin-Walled Composite Structural Members1215Strength Criteria for Composite Materials169Pt. IIDesign of Composite Materials and Structural Members2136Design of Laminated Composites with Given Effective Characteristics2157Design of High-Stiffness, Fibre-Reinforced Composites2638Design of Composite Structural Members with Given Effective Characteristics2879Smart Composite Structures307App. AHomogenization of materials with one-dimensional inhomogeneity327App. BOn the correctness of problems on convex combinations331App. CHomogenization of some systems of ordinary differential equations333App. DComputational software package DESIGNER335References349Index353
