@incollection{, B53F5EFC03749BA4AB7DA0CF30A69E50 , author={{TiagoOliveira} and {ArturPortela}}, journal={{Global Journal of Researches in Engineering}}, journal={{GJRE}}2249-45960975-586110.34257/gjre, address={Cambridge, United States}, publisher={Global Journals Organisation}2112350 } @incollection{b0, , title={{The meshless local petrov-galerkin (mlpg) method: A simple and less-costly alternative to the finite element and boundary element methods}} , author={{ SNAtluri } and { SShen }} , journal={{CMES: Computer Modeling in Engineering and Sciences}} 3 1 , year={2002} } @incollection{b1, , title={{A new meshless local petrov-galerkin (mlpg) approach in computational mechanics}} , author={{ SNAtluri } and { TZhu }} , journal={{Computational Mechanics}} 22 2 , year={1998} } @incollection{b2, , title={{Optimization of meshless local petrov-galerkin using genetic algorithm for 3d elastostatic problems}} , author={{ ABagheri } and { REhsany } and { MJMahmoodabadi } and { GHBaradaran }} , journal={{International Journal of Engineering}} 24 2 , year={2011} } @incollection{b3, , title={{Optimal pareto parametric analysis of two dimensional steady-state heat conduction problems by mlpg method}} , author={{ GHBaradaran } and { MJMahmoodabadi }} , journal={{International Journal of Engineering}} 22 4 , year={2009} } @incollection{b4, , title={{Cracked plate analysis with the dual boundary element method and williams' eigenexpansion}} , author={{ JCaicedo } and { APortela }} , journal={{J. of Engineering Analysis with Boundary Elements}} 52 , year={2015} } @incollection{b5, , title={{Meshfree methods: Progress made after 20 years}} , author={{ JChen } and { MHillman } and { SChi }} , journal={{Journal of Engineering Mechanics}} 143 4 4017001 , year={2017} } @incollection{b6, , title={{Crack problems for a rectangular plate and an infinite strip}} , author={{ MBCivelek } and { FErdogan }} , journal={{International Journal of Fracture}} 19 , year={1982} } @incollection{b7, , title={{Multiphysics topology optimization of heat transfer and fluid flow systems}} , author={{ EDede }} , booktitle={{Proceedings of the COMSOL Conference}} the COMSOL ConferenceBoston , publisher={COM-SOL} , year={2009} } @incollection{b8, , title={{Isogeometric analysis for topology optimization with a phase field model}} , author={{ LDede } and { MJBorden } and { TJ RHughes }} , journal={{Archives of Computational Methods in Engineering}} 19 , year={2012} } @book{b9, , title={{References Références Referencias}} } @incollection{b10, , title={{Nodal cosine sine material interpolation in multi objective topology optimization with the global criteria method for linear elasto static, heat transfer, potential flow and binary cross entropy sharpening}} , author={{ MDenk } and { KRother } and { MZinßer } and { CPetroll } and { KPaetzold }} , booktitle={{Proceedings of the 23th International Conference on Engineering Design}} the 23th International Conference on Engineering Design , publisher={Design Society} , year={2021} } @book{b11, , title={{Nodal cosine sine material interpolation in multi objective topology optimization with the global criteria method for linear elasto static}} , author={{ MDenk } and { KRother } and { MZinßer } and { CPetroll } and { KPaetzold }} , year={2021} , note={heat transfer, potential flow and binary} } @incollection{b12, , title={{Adaptive refinement in the meshless finite volume method for elasticity problems}} , author={{ MEbrahimnejad } and { NFallah } and { ARKhoei }} , journal={{Computers & Mathematics with Applications}} 69 12 , year={2015} } @book{b13, , title={{Genetic Algorithms and Engineering Optimization}} , author={{ MGen } and { RCheng }} , year={2000} , publisher={Wiley} } @book{b14, , title={{Topology optimization of heat conduction problems using the finite volume method. Structural and Multidisciplinary Optimization}} , author={{ AGersborg-Hansen } and { MPBendsoe } and { OSigmund }} , year={2006} 31 } @book{b15, , title={{Topology optimization of front metallization patterns for solar cells. Structural and Multidisciplinary Optimization}} , author={{ DKGupta } and { MLangelaar } and { MBarink } and { FVan Keulen }} , year={2015} 51 } @book{b16, , title={{Adaptation in Natural and Artificial Systems}} , author={{ JHHolland }} , year={1975} , publisher={MIT press} } @book{b17, , author={{ AHuerta } and { TBelytschko } and { SFernández-Méndez } and { TRabczuk } and { XZhuang } and { MArroyo }} , title={{Meshfree methods. Encyclopedia of Computational Mechanics}} , editor={ ErwinStein RenéDe Borst ThomasJ RHughes } , publisher={Wiley} , year={2017} , note={Second Edition} } @book{b18, , title={{Multiple Objectives Decision Making-Methods and Applications}} , author={{ CLHwang } and { AS MMasud }} , year={1979} , publisher={Springer} } @incollection{b19, , title={{Application of genetic algorithms to lubrication pump stacking design}} , author={{ VKelner } and { OLeonard }} , journal={{Journal of Computational and Applied Mathematics}} 168 1 , year={2004} } @incollection{b20, , title={{Multiobjective evolutionary structural optimization using combined static/dynamic control parameters}} , author={{ WYKim } and { RVGrandhi } and { MHaney }} , journal={{AIAA J}} 44 , year={2006} } @incollection{b21, , title={{A local point interpolation method for stress analysis of two-dimensional solids}} , author={{ GRLiu } and { YTGu }} , journal={{Structural Engineering and Mechanics}} 11 2 , year={2001} } @incollection{b22, , title={{Point interpolation method based on local residual formulation using radial basis functions}} , author={{ GRLiu } and { LYan } and { JGWang } and { YTGu }} , journal={{Structural Engineering and Mechanics}} 14 , year={2002} } @incollection{b23, , title={{Genetic algorithms for modelling and optimisation}} , author={{ JMccall }} , journal={{Journal of Computational and Applied Mathematics}} 184 1 , year={2005} } @book{b24, , author={{ YMurakami }} , title={{Stress intensity factors handbook}} , publisher={Pergamon Press} , year={1987} 2 , note={1st edition} } @incollection{b25, , title={{Weak form collocation -a local meshless method in linear elasticity}} , author={{ TOliveira } and { APortela }} , journal={{Engineering Analysis with Boundary Elements}} 73 1 , year={2016} } @incollection{b26, , title={{A local mesh free method with the singularity subtraction technique}} , author={{ TOliveira } and { APortela }} , journal={{Engineering Analysis with Boundary Elements}} 104 , year={2019} } @book{b27, , title={{A local mesh free method for linear elasticity and fracture mechanics. Engineering Analysis with Boundary Elements}} , author={{ TOliveira } and { WVélez } and { ESantana } and { TAraújo } and { FMendonça } and { APortela }} , year={2019} 101 } @incollection{b28, , title={{Crack Growth Analysis Using Boundary Elements -Software}} , author={{ APortela } and { MHAliabadi }} , booktitle={{Proceedings of the 23th International Conference on Engineering Design}} the 23th International Conference on Engineering DesignSouthampton, UK and Boston, USA , publisher={Design Society} , year={1993} } @book{b29, , title={{Multiobjective Optimization: Behavioral and Computational Considerations}} , author={{ JLRinguest }} , year={1992} , publisher={Kluwer} } @incollection{b30, , title={{A local mesh free numerical method with automatic parameter optimization}} , author={{ ESantana } and { TOliveira } and { WVélez } and { TAraújo } and { FMartins } and { APortela }} , journal={{Engineering Analysis with Boundary Elements}} 113 , year={2020} } @book{b31, , title={{Theory of Multiobjective Optimization}} , author={{ YSawaragi } and { HNakayama } and { TTanino }} , year={1985} , publisher={Academic Press} } @book{b32, , title={{Multiple Criteria Optimization: Theory, Computation, and Application}} , author={{ RESteuer }} , year={1986} , publisher={Wiley} } @incollection{b33, , title={{Stress singularities resulting from various boundary conditions in angular corners of plates in extension}} , author={{ MLWilliams }} , journal={{Journal of Applied Mechanics}} , year={1952} } @incollection{b34, , title={{No free lunch theorems for optimization}} , author={{ DHWolpert } and { WGMacready }} , journal={{Transactions on Evolutionary Computation}} 1 1 , year={1997} } @incollection{b35, , title={{A comparative evaluation of genetic and gradient-based algorithms applied to aerodynamic optimization}} , author={{ DavidWZingg } and { MarianNemec } and { ThomasHPulliam }} , journal={{European Journal of Computational Mechanics}} 17 1-2 , year={2008} } @incollection{b36, , title={{Topology-optimized 4d printing of a soft actuator}} , author={{ AZolfagharian } and { MDenk } and { MBodaghi } and { AZKouzani } and { AKaynak }} , journal={{Acta Mechanica Solida Sinica}} 33 , year={2020} } @incollection{b37, , title={{Multicriterion evolutionary structural optimization using the weighting and the global criterion methods}} , author={{ KProos } and { GSteven } and { OQuerin } and { YXie }} , journal={{AIAA J}} 39 , year={2006-2012, 2001} }