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.
55 pages matching elasticity problem in this book
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Analysis of the Effective Properties of Highly Porous
Homogenization Models for ThinWalled Composite
Effective Properties of ThinWalled Composite
11 other sections not shown
actuators algorithm assume asymptotic expansion averaged strains averaged stresses axis binder element binder material boundary conditions Cijkl coefficient of thermal composite material composite structure composites with given constituent materials constitutive relations conv convex combinations convex hull coordinate system corresponding defined deformation denote derived design problem displacements effective characteristics effective coefficients effective properties effective stiffnesses effective strength criterion elastic constants elasticity problem elasticity theory equal estimate example expressions fibre placement angles fibre-reinforced composites formulas functions heat conduction homogeneous material Hooke's law inhomogeneous integrity isotropic Kalamkarov laminated composites laminated plates layer Let us consider menu moduli notation optimal optimal control parameter periodic functions periodicity cell piecewise-constant plane Poisson's ratio quantities result satisfied Section 2.2 set of effective shown in Fig simplex solutions solution of problem solvable specified substitution surface tensor theory thermal expansion thermoelastic problem thickness unit cell problem values variable vector Young's modulus zero