Analysis, Design and Optimization of Composite StructuresRapidly 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. |
Contents
12 | 31 |
Analysis of the Effective Properties of Highly Porous | 45 |
Homogenization Models for ThinWalled Composite | 83 |
Copyright | |
11 other sections not shown
Common terms and phrases
A₁ A₂ actuators algorithm asymptotic asymptotic expansion averaged strains averaged stresses axis beam binder element binder material boundary conditions calculating coefficient of thermal composite material composite structure composites with given constituent materials conv convex combinations convex hull coordinate corresponding deformation denote design problem displacements E₁ effective characteristics effective elastic effective stiffnesses effective strength criterion equal equations estimate example fibre placement angles fibre volume fibre-reinforced composites formulas framework functions h₁ h₂ homogeneous Hooke's law inhomogeneous isotropic laminated composites laminated plates layers Let us consider maximum strength composite menu method moduli obtained optimal optimal control P₁ parameter periodicity cell piecewise-constant Poisson's ratio quantities result satisfied Section set of effective shell simplex solutions sin² solution of problem solvable specified Substitution tensor thermal expansion thickness unit cell v₁ variable vector y₁ y₂ Young's modulus μν