Interactive shape optimization of continuum structures

Patch repair design optimisation for fracture and fatigue improvements of cracked plates

“…For such a reason, the design of efficient patch repairs is a crucial task which is very important from both economic and technical point of view; the choose of an optimal shape could be a good way to obtain the desired performance, in order to get the maximum structural safety-cost ratio (Mahadesh Kumar and Hakeem, 2000;Haftka and Grandhi, 1986;Wieghardt et al, 1997).…”

“…For such a reason, the interest in alternative algorithms, known as Genetic Algorithms (GAs) (Wieghardt et al, 1997;Goldberg, 1989;Davis, 1991), based on simulating the natural evolutionary process of life, has been developed recently. Such algorithms can be regarded as random, stochastic, global optimisation methods, and can be used to optimise a chosen objective function suitable for a given problem.…”

“…The generality of Genetic Algorithms has been the reason for their applicability to several and different problems such as optimisation of structural performances (Gantovnik et al, 2003;Eduardo et al, 2004), structural topology (Wieghardt et al, 1997;Cappello and Mancuso, 2003), structures identification (Zohdi, 2003), material and composite materials (Muc and Gurba, 2001;Surendranath et al, 2003;Sadagopan and Pitchumani, 1998), beyond several non-structural problems.…”

A genetic algorithm for combined topology and shape optimisations

“…If topology and shape are fixed by means of different criteria, the optimisation can solve problems of design variables calculation, such as thickness, height, radius of a circular boundary, fibre orientation in composite structures [2,3]. If only the topology is given, then optimisation can find the optimal shape of inward and outward boundaries [4,5]. These can be constituted by curves, defined by the location of some points, which are the design variables; but number, distribution and geometric entities of the boundaries have to be fixed in advance, using often heuristic criteria.…”

Elliptical and circular bonded composite repair under mechanical and thermal loading in aircraft structures

“…A good way to design a patch repair can be the determination of the optimal shape in order to obtain the maximum safety-cost ratio 15 . Such a problem is very important nowadays from both economic and technical point of views [16][17][18] , in a wide range of engineering fields, especially in aeronautical applications. The analysis of the effects of the geometrical properties of the composite on the repair performance got great interest in the literature.…”