Shape optimization in laminated composite plates

Design of Reinforcement in Nano- and Microcomposites

“…The method of description (representation) of the curve is directly related to the number of design variables included in the optimization process. Typically, three different variants are used:Set of nodes’ approximates curve Γ (see, e.g., Lee et al [64]) created by discretization of finite elements, then the number of design variables is large and equal to the number of nodes on the edge Γ, and additionally increases in cases of description concentration of stresses; this method is used very rarely.Curve Γ is described by elementary analytic functions, in which case it is unambiguously defined by giving a finite fixed number (see Pedersen [65,66]), much smaller than in the previous case; however, there is always a problem with the introduction of the function and assessment, whether it is sufficient to solve a specific optimization problem; this method has unfortunately too little generality.Application of spline functions to the definition of curve Γ, where the spline functions are uniquely determined by specifying the coordinates of a finite number of key points P i ( i = 0,1,2, ..., I ); the number of basis points is equivalent to the number of design variables.…”

“…Set of nodes’ approximates curve Γ (see, e.g., Lee et al [64]) created by discretization of finite elements, then the number of design variables is large and equal to the number of nodes on the edge Γ, and additionally increases in cases of description concentration of stresses; this method is used very rarely.…”

Optimum Design of Composite Structures: A Literature Survey (1969–2009)

“…In order to check whether a configuration generated by optimization algorithm for the composite structure will result in satisfactory performance, one should use a reliable failure criterion. As intralaminar static failure criterion, the researchers used Tsai-Wu, 64,68,78,83,109,110,128,130,155,174,197,205,209,211,217,218,223,233,234,244,252,261,266,269,276,277,309,319,321,326,339,342,355,360,365,371,387,394,398,403,411–414,439,444,447,451,452,456,477,483,484,489,490,510,511,519,522,529,532,535,…”