TY - JOUR AU - AB - This chapter is devoted to modeling the properties of composite materials and structures. Mathematical relations describing the nonlinear elastic three-point bending of isotropic and reinforced beams with account of different strength and stiffness behavior in tension and compression are obtained. An algorithm for numerical solution of corresponding boundary-value problems is proposed and implemented. Results of numerical modeling were compared to acquired data for polymer matrix and structural carbon fiber reinforced plastics. A computational technology for analysis and optimization of composite pressure vessels was developed and presented. Keywords: composite, polymer matrix, CFRP, bending, nonlinear deformation, mathematical modeling, pressure vessel, COPV, shell theory, optimization 1. Introduction Carbon fiber reinforced plastics (CFRP) are the most promising modern composite materials. High-duty structures used in aviation and space industry, car manufacturing and building sector require new CFRPs as well as ways to improve their characteristics. Applying computer modeling techniques significantly reduces both the time and cost of investigations aimed at searching optimal parameters of CFRP structures [1]. Mathematical modeling provides an opportunity for comprehensive analysis of both CFRPs and CFRP structures. It has become an effective tool for solving important applied problems. To build a mathematical model of composite materials, including those made of TI - Mathematical Modeling and Numerical Optimization of Composite Structures JF - Optimum Composite Structures DO - 10.5772/intechopen.78259 DA - 2019-01-30 UR - https://www.deepdyve.com/lp/unpaywall/mathematical-modeling-and-numerical-optimization-of-composite-ZSAGBF0W0J DP - DeepDyve ER -