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. |
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68 pages matching effective stiffnesses in this book
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Analysis of the Effective Properties of Highly Porous | 45 |
Homogenization Models for ThinWalled Composite | 83 |
Effective Properties of ThinWalled Composite | 121 |
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A₁ A₂ algorithm asymptotic expansion axis beam binder material boundary conditions calculating coefficient of thermal composite material composite structure constituent materials constitutive relations conv convex combinations convex hull corresponding cosē deformation denote design problem displacements E₁ effective characteristics effective elastic effective properties effective stiffnesses effective strength criterion elasticity problem equations estimate example fibre placement angles formulas framework functions h₁ h₂ heat conduction Hooke's law inhomogeneous isotropic laminated composites laminated plates layer Let us consider moduli obtained optimal optimal control parameter periodicity cell piecewise-constant Poisson's ratio quantities reinforcing result set of effective shell shown in Fig simplex solutions sinē solution of problem solvable solving specified substitution t₁ tensor theory thermal expansion thermoelastic problem thickness unit cell problem v₁ values variable vector y₁ y₂ Young's modulus zero αβ λμ μν