Optimization of fiber distribution in fiber reinforced composite by using NURBS functions
作者： Hamid Ghasemi , Roberto Brighenti , Xiaoying Zhuang , Jacob Muthu , Timon Rabczuk
DOI: 10.1016/J.COMMATSCI.2013.11.032
关键词: Topology 、 Discretization 、 Fiber-reinforced composite 、 Homogenization (chemistry) 、 Fiber 、 Basis function 、 Materials science 、 Fundamental frequency 、 Reduction (mathematics) 、 Structural element
摘要: Abstract This research deals with the optimization of short fibers distribution in continuum structures made Fiber Reinforced Composite (FRC) by adopting an efficient gradient based approach. Motivated lack non-heuristic and mesh independent algorithms to obtain optimum through a design domain, Non-Uniform Rational B-spline (NURBS) basis functions have been implemented define continuous smooth fiber function as well domain discretization. Thanks higher order (here quadratic) NURBS along their compact support, drastic reduction computational time has obtained increasing size while accuracy model is maintained. Moreover combination sensitivity method allows fast convergence layout. Minimization elastic strain energy maximization fundamental frequency considered objective for static free vibration problems, respectively; get maximum exploitation structural element. Nodal volume fraction was defined variable homogenization approach on random orientation matrix adopted. Some numerical examples related response under loading behavior are finally conducted demonstrate capability reliability model.
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